What word is used to remember the 3 trigonometric ratios?

Answers

Answer 1

The word used to remember the 3 trigonometric ratios sine, cosine, and tangent is SOH-CAH-TOA

We know that in right triangle for an angle θ, the trigonmetric ratios are:

sin(θ) = opposite side of θ/ hypotenuse

cos(θ) = adjacent side of θ / hypotenuse

tan(θ) = opposide side of θ / adjacent side of θ

cot(θ) = 1/tan(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

The word 'SOH-CAH-TOA' is used to remember the sine, cosine, and tangent ratios in a right triangle.  

SOH means, Sine = Opposite side / Hypotenuse.

CAH means, Cosine = Adjacent side / Hypotenuse.

TOA means, Tangent = Opposite side / Adjacent side

Learn more about the trigonmetric ratios here:

https://brainly.com/question/25122825

#SPJ4


Related Questions

is the following relation a function explain. (1,3) (1,0), (1,-2) (1,8)

Answers

Yes it is Bc no matter what y values are given, x always has to equal 1.

9514 1404 393

Answer:

  NO

Step-by-step explanation:

If input values are repeated, the relation is not a function. A function has only one output value for any input value.

Here, an input of 1 has 4 output values—not a function.

ASAP HELP NOW If f(x) = 3x – 2 find the value for: f(4)

Answers

put 4 in x
3(4)-2 = 10

Answer:

10

Step-by-step explanation:

f(4)= 3(4)-2

f(4)=12-2

f(4)= 10

f(whatever) just means to replace x with whatever is in the parentheses.

When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram

Answers

When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.

What is scatter-plot or scatter-gram?

Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.

It is being utilized to determine how one variable influences the other.

The supplied statement in the question above represents the scatter plot.

Here,

When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.

To know more about scatter-plot or scatter-gram,

https://brainly.com/question/14529604

#SPJ4

if x= -1/3, find 12x²-15x+3​

Answers

What the answer than?

Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?

Answers

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

To learn more about linear equations, visit:

https://brainly.com/question/12788590

#SPJ4

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

To learn more about linear equations, visit:

brainly.com/question/12788590

#SPJ4

The relationship between the value y (in dollars) of a car and its age x (in years)
is estimated from a random sample of cars. An equation that models this
relationship is y=23,100−1,273x . Based on this model, which of the following
statements is true?

Answers

C

If x is years, for each year the value of the car is $1273 less than the previous year

Answer:

it C

Step-by-step explanation:

Find the number of the degree of this polynomial.(please)

Answers

Answer:

2 is the highest degree because it's the only exponent

Which of the z-values satisfy the following inequality?
2
7<
+ 3
2
Choose all answers that apply:
A
2 = 8
B
2 = 9
© z = 10

Answers

Answer:The answer is 9 and 10?

Step-by-step explanation:

Answer:

B and C                |   z=9   |   z=10     |

Step-by-step explanation:

Trust i got right

Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Constructing a line segment of length 2 and then finding the
midpoint
B. Drawing a perpendicular line segment through a given point on a
given segment
C. Drawing a line through a given point parallel to a given line
D. Drawing a perpendicular line segment from a given point to a
given segment

Answers

Answer: Constructions A, B, and D can be accomplished with paper folding.

Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.

Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.

Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.

Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.

Step-by-step explanation:

The following constructions can be accomplished with paper folding -

Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.

What is construction in mathematics?

Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -

Constructing bisectors of lines and angles.Constructing regular polygons inscribed in circles.Constructing circumcircles and incircles.Constructing a line tangent to a circle.

Given is to find which of the following constructions can be accomplished with paper folding.

The following constructions can be accomplished with paper folding -

Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.

Therefore, the following constructions can be accomplished with paper folding -

Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.

To solve more questions on constructions, visit the link-

https://brainly.com/question/28983662

#SPJ5

Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices $Q\left(-1,\ 3\right),\ R\left(5,\ 2\right),\ S\left(1,-2\right),$ and $T\left(-5,-1\right)$

Answers

The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)

The coordinates of the parallelogram QRST are:

Q = (-1, 3)

R = (5, 2)

S = (1, -2)

T = (-5, -1)

The diagonals of  parallelogram QRST are QS and RT.

Let M be the point of the intersection of the diagonals of the parallelogram QRST

The diagonals of a parallelogram bisect each other.

This means, M is midpoint of diagonals QS and RT.

Consider diagonal QS.

Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)

Using midpoint formula the coordinates of M would be,

M =  ((x1 + x2)/2, (y1 + y2)/2)

M = ((-1 + 1)/2, (3 - 2)/2)

M = (0/2 ,  1/2)

M = (0, 1/2)

Therefore, the point of intersecton of QS and RT is (0, 1/2)

Learn more about parallelogram here:

https://brainly.com/question/7720055

#SPJ4

Find the measure of the two marked angles NEED HELP ASP!!!!!

Answers

The measure of the two marked angles are as follows:

60°60°

How to find angles when parallel lines are cut by a transversal?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angle, alternate interior angles, linear angles, vertically opposite angles, same side interior angles etc.

According to the diagram the parallel lines are cut by the transversal and formed the angles.

Hence, the angles are alternate exterior angles.

Alternate exterior angles are congruent. Hence, the angles are as follows:

10x - 20 = 7x + 4

10x - 7x = 4 + 20

3x = 24

x = 24 / 3

x = 8

Therefore, the angles are as follows:

10x - 20 = 10(8) - 20 = 80 - 20 = 60 degrees

7x + 4 = 7(8) + 4 = 56 + 4 = 60 degrees.

learn more on angles here:https://brainly.com/question/9006000

#SPJ1

The box above has a length of 4 units, a width of 3 units, and a height of 5 units. What is the volume?

Answers

Answer:

60 cubic units

Step-by-step explanation:

Volume is simply multiplying the height, length and width together.

4 * 5 = 20

20 * 3 = 60

PLZZZ GIVE ME BRAINLIEST

Answer: Lo que haces es multiplicar los valores de altura x longitud x lo ancho. (Aquí no importa el orden.

Step-by-step explanation:

4x3 =12

12x5=20

Parallel, perpendicular or neither

Answers

You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3gVQKw3

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Similar

Step-by-step explanation:

The triangles are similar. They just put it upside down.

Answer:

Similar

Step-by-step explanation:

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene’s car had 6.7 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?

Answers

The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

What is function?

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

To know more about functions visit:

brainly.com/question/28193995

#SPJ1

On solving the provided question, we can say that by unitary method Irene spend on gas =  $ 33.82

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

by unitary method

Irene must pay back the money she used for gas.

Irene filled up her tank with gas for $33.82.

One gallon of gasoline costs $3.80.

There are 6.1 gallons of the petrol Irene purchased in the tank.

amount required = 15 -6.1 = 8.9 gallons

1 gallon = 3.8 dollars

8.9 gallons = $ 33.82

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function

Answers

Answer:

the other zeros of this function are {-2, 3}

Step-by-step explanation:

Use synthetic division to find the roots.  The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:

1    /    1    -2    -5    6

               +1      -1    -6

    --------------------------

         1     -1       -6    0

Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial.  The quotient is 1x^2  - 1x  - 6, whose roots can be found either through synthetic division or factoring.  In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.

help me plssssss it’s due tonight!!

Answers

Answer:

B. 3x+1

Step-by-step explanation:

(3x+3)+(2x+1)+(4x+2)=9x+6

(12x+7)-(9x+6)=3x+1

answer:
B. 3x + 1

step-by-step explanation:
(4x + 2) + (2x + 1) + (3x + 3)
add like terms
9x + 6
(12x + 7) - (9x + 6)
3x + 1

On a hot summer day, jay set up a lemonade stand. He kept track of how many glasses he sold on his phone


A. Write two equations that relate the number of large glasses sold i and the number of small glasses sold s. ?


B. Solve the system of equations


C. How many small glasses were sold?


D. How many large glasses were sold?

Answers

On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have 2y + 8x

and x = 10 ; y = 15

2y + 8x

20 + 120 = 140

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

PLEASE HELP ASAP!!! will mark

Answers

Answer:

axis of symmetry: x=1

vertex: (1, -1)

for the sketch, plot these points: (1, -1), (2, 0), (3, 3), (0, 0), (-1, 3)

Step-by-step explanation:

hope this helps :)

Answer:

axis of symmetry= (1,-1)

vertex = (2, -2)

and then I attached a picture of what it should look like on the graph

Bella has a cell phone plan in which she pays of each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8€ each and text messages cost 5€ each and her pill was $34. 26, how many minutes did she use?

Answers

If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is  207 minutes .

The total number of minutes used and text messages is = 561 ;

the cost for per minute cost is = 8 cents ;

the cost for per text message is = 5 cents ;

Bella's total bill amount is = $34.26 = 3426 cents

let the number of minutes used be = x minutes ; and

let the number of text messages be = y ;

So ,According to the question ,

the equations representing the situations are ,

[tex]x+y=561[/tex]  and [tex]8x+5y=3426[/tex]

Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,

we get ;

[tex]8x + 5(561-x)= 3426[/tex]

On solving ,

we get ; x = 207 minutes ;

So , the number of text messages (y) = [tex]561-207[/tex]

= 354 text messages.

Therefore , the number of minutes is = 207 minutes .

Learn more about Equations here

https://brainly.com/question/29121687

#SPJ4

I need help with this please

Answers

Answer:

[tex]\dfrac{15}{6}[/tex]

Step-by-step explanation:

3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.

Therefore,

[tex]\dfrac{5}{6} \times 3[/tex]

can be written as:

[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]

To multiply these fractions, simply multiply their numerators and their denominators.

[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]

[tex]\dfrac{15}{6}[/tex]

How many five-digit numbers are there that contain the digit 1 (at least) three times in a row?

Answers

Answer:

So you say you want some 5 digit numbers eh? Let’s consider some boundaries. 5 digit numbers range from 10,000 - 99,999. So our number is guaranteed to be between 0 and 90000.

Sometimes it’s much easier to work with concrete things. Such as the number of numbers that don’t contain any 3s. It’s really more difficult to put our finger on “at least 1” anything so we try to steer clear of it.

Anyways we’ve got 90000 numbers that have at least 1 or 0 3’s. Find one and we know the other.

So no 3’s at all right? Well you have 8 choices for the first digit (can’t choose 0 and you can’t choose 3). And then for the remaining 4 digits you have 9 choices. So that’s

8∗94=52488  

Back to our initial equation, we have

90000−8∗94=37512  5 digits numbers without any 3s.

A quick (or maybe not so quick) matlab script confirms such calculations.

credits to : Trevor Squires

This box plot represents the marks gained by students in an exam. Nobody gained exactly 30, 48 or 70 marks. 120 students gained less than 70 marks. How many students gained more than 48 marks?

Answers

Therefore , the solution of the given problem of scatter plot comes out

to be  2 regions contain 2 x 40 (or 80) students.

Definition of a scatter plot

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.

In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:

Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.

We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.

In other words, 75% of 120 students.

If there are 120 students total throughout the three regions, then each

region has 40 pupils, or one-third of the total.

The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.

As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.

Therefore , the solution of the given problem of scatter plot comes out

to be  2 regions contain 2 x 40 (or 80) students.

To know  more about scatter plot, visit

brainly.com/question/13984412

#SPJ4

If the mass of an object is 2kg and the applied force is 26N, calculate the acceleration. ___________m/s/s

Answers

Answer:

a = (13 m) / (sec^2)

Step-by-step explanation:

Force equation:  F = ma

yields a = F/m

Here F = 26 N and m = 2 kg, so

a = (26 N) / (2 kg) = (13 m) / (sec^2)

Find the first three terms of the sequence:
a₁ = 2.25, an = an-1 +0.5

Answers

The first three terms of the sequence are 2.25, 2.30, and 2.35.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(1) = 2.25

a(n) = a(n - 1) + 0.5

Now,

The first term = 2.25

The second term.

a(2) = a(1) + 0.5

= 2.25 + 0.5

= 2.30

The third term.

a(3) = a(2) + 0.5

= 2.30 + 0.5

= 2.35

Thus,

The first three terms are 2.25, 2.30, and 2.35.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ1

i know its easy but a few points!! no links or reported.

Answers

Answer: Thank you for the points & B

Step-by-step explanation: Hope this help :D

hii! please help i’ll give brainliest

Answers

Answer:

Bukhara

Hope this helps!

--Applepi101

Solve the system by elimination.
3x + 3 = 3y
2x - 6y = 2

Answers

Answer:

The Point Form is: (-2,-1)

Equation form is x= -2, y = -1

Step-by-step explanation:

Answer:

(-2, -1)

Step-by-step explanation:

both equation form:  Ax + By = C

3x - 3y = -3 - 2×(3x - 3y = -3) =  6x + 6y = 6

2x - 6y = 2 - Terms opposite =   2x - 6y = 2

( Add) - 4x = 8

divide by -4 =  x = -2

Put X value in equations 3(-2) + 3 = 3y and solve -

-6 + 3 = 3y

-3  = 3y

-1 = y

Answer=  (-2, -1)

make N the subject of formulaP=N+2/d

Answers

Answer:

N = Pd - 2

Step-by-step explanation:

P = N + 2/d

Pd = N + 2

Pd - 2 = N

N = Pd - 2

What is the measure of angle OAC if major arc AB measures 220 degrees?



55°


70°


110°


140°



I already know the answer is 55 but I need to know why and how to get 55?

Answers

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

Here,

Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:

OAC = 0.5 times 220 degrees.

110 degrees is OAC.

If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:

OAC equals 0.25 x 220 degrees

OAC = 55 degrees

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

Other Questions
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water tomake pancake batter. If he uses 1/4 of a cup of batter to make eachpancake, how many pancakes can Johnny make from his batter? CAN U PLS PUT STEP BY STEP PLS? Match the following.1 . Senatemain division of Roman army2 . SadduceesRoman peace3 . Septuagintconquered Babylon4 . Pax Romanacommon language during Roman peace5 . Persiawhat the senatorial class ruled through6 . Maccabeesdenied doctrine of resurrection7 . GreekGreek Old Testament8 . legionrestored the Torah9 . deaconschosen to serve tables10 . Ezramen who fight violently Find the complement and supplement of 73: Has the war on terror been worth the cost? Paragraph if u can pls what is the slope for the equation? Analyze the diagram below and complete the instructions that follow.please help its timed a sample of a radioactive isotope had an inital mass of 130 mg in the year 2010 and decays exponentially over time. a measurmentin the year 2012 found that the samples masshad decayed to 80 mgwjat would be the expected mass of the sample in the year 2021 to the nearest whole number Directions: Answer ALL prompts below with full, specific 6-sentence paragraphs thatmake specific references (use quotes from the novel) to the text to support youranswers. In each of your paragraphs for each prompt, include ONE complex sentenceand ONE sentence with the adjectives shifted out of order. These two sentences inyour paragraphs should be highlighted. Only highlight your two required sentences - namore.1. From Steinbeck's description of the bunkhouse, what can a reader infer is itssymbolic meaning? By the end of Chapter 2, how do George and Lennie feelabout having to stay in the bunkhouse? Explain. URGENT!!!Which of the following points best represents the location of -1 5/8 on the number line?ABCD Compute the atomic density (the number of atoms per cm3 rather than mass density g/cm3) for a perfect crystal of silicon at room temperature, given that the room temperature density and atomic weight of silicon are 2.33 g/cm3 and 28.09 g/mol, respectively.Hint: you do NOT need any information about the crystal structure of silicon to solve for this quantity, based on the information provided in this particular problem.Be sure to use values exactly as given and do not round until the final answer.Use 6.022x1023 , exactly, for Avogadro's Number.Answer Format: XEX where EX stands for *10x Units: atoms/cm3Example: So for an answer of 158123.126 you would type: 2E5 since only a whole number is prescribed for the prefix. Select the correct text in the passage.Which two sentences from the text serve as examples of parallelism as a rhetorical strategy?Twenty-five years ago today, America had a change of heart and a change of course. Instead of polluting our waters, wedecided to clean them. Since the passage of the Clean Water Act, we have stopped billions of pounds of pollution from flowinginto our rivers, lakes, and streams; and doubled the number of waters safe for swimming and fishing.This change of heart was formalized by our laws, but it was carried out by our people. People like Vicki Deisner of the OhioEnvironmental Council. Vicki grew up in the Cleveland area and remembers the Cuyahoga River catching fire. For most of heradult life she has worked to clean up and restore the Cuyahoga and other rivers and, as a health professional, she has workedInfo HELP ME PLEASEEEEEEE 24. What is the volume of a rectangular prism with f = 4 1/2 cm, w= 3 1/2 cm, and h= 6 cm A 902 cubic centimeters B 942 cubic centimeters C 95 cubic centimeters D 952 cubic centimeters please answer it fast What is a central idea of the excerpt from Chapter 3 of Why We Love? The width of a vegetable garden is 3 times its length. If the length of the garden is 4 1/2 feet, what is the width in simplest form? In a rhombus MNLP, diagonals intersect each other at point O. If measure of angle MNL is 120 degrees, and the length of the side is 8 inches, find NP URGENT: please help!!!!!!!!! Of the following business transactions, the only one that describes an importing activity is:A wholesaler in Brazil packs goods for shipment to Liberia.A retailer in Sweden receives goods from Mexico to sell in a chain of stores.A restaurant food supplier in Japan ships sushi ingredients to a restaurant in Turkey.A customs agent checks the bags of a traveler for any purchased goods. Find values of a and b that make the following equality into identity:(2x+5)/(x-8)(2x+1)=a/(x-8) + b/(2x+1) Giving 30+ points!