Find the missing value to the nearest hundredth.

tan ___ = 73
A. 81.61°
B. 64.61°
C. 60.61°
D. 89.22°

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

Answer:

the correct answer is 302cm²

Answer:

[tex]232 ~cm^2[/tex]

Step-by-step explanation:

[tex]2(8*10)+2(2*10)+2(8*2)=[/tex]

[tex]2*80+2*20+2*16=[/tex]

[tex]160+40+32=[/tex]

[tex]232[/tex]

-----------------------

hope it helps...

have a great day!!

Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.

To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.

For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:

h(5) = √(5-3) - 2

= √2 - 2

= 1.4 - 2

= -0.6

Therefore, the value of h(x) for x = 5 is -0.6.

You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.

Step-by-step explanation:

Answer:

g[f(x)]

Step-by-step explanation:

Given functions:

[tex]f(x)=x-3[/tex]

[tex]g(x)=\sqrt{x}-2[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]

The equation to find the root of the statement given in the question is , 12x = 2x - 24.

Let the number of tamp which Ritu have be x

Then the number of tamp which Raj have be 2x = 24

Now as Ritu has 6 times more than Raj , 6( 2x) = 24 x 6

Therefore, the required equation becomes,

12x = 2x - 24

=> 10x = 24

=> x = 2.4 answer.

An equation is a mathematical statement which is made up of constants , variables and operators. There are two parts of an equation which are equated using the equal sign . The right hand and the left hand side of the equation.

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A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

The distribution's mean is another name for the center of the range.

Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

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Answer:

C,A, and F

Step-by-step explanation:

the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps

The area of the shaded region is 26.088 sq units.

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the center.

The radius of a circle is measured from the center to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.

Area of a 60-degree sector of a circle with radius 12  = 60/360 pi 12^2    Since, there are two of these minus the area of equilateral triangle =                 sqrt3 /4  12^2  = 60/360 pi 12^2 * 2 -  sqrt3 /4  12^2 *2  =  26.088 sq units

Thus, the area of the shaded region is 26.088 sq units.

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Answer:

ioujyghfdgtrssssfhyjukh

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

You are trying to find one of the legs of a right triangle. All you need is the Pythagorean Theorem.

Formula

x^2 + y^2 = c^2

Givens

x = ?

y = 0.9

c = 1.5

Solution

x^2 + 0.9^2 = 1.5^2

x^2 + 0.81 = 2.25         Subtract 0.81 from both sides

x^2 = 2.25 - 0.81

x^2 = 1.44                     Take the square root of both sides

sqrt(x^2) = sqrt(1.44)

x = 1.2  

The expression for area of the rectangles are obtained as x² + 10x + 21 and  x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The dimension of both the rectangles are given as,

First rectangle : (x + 3) and (x + 7)

Second rectangle : (x - 1) and (x - 8)

Since, the area of a rectangle is product of its dimensions.

It can be obtained as,

Area of first rectangle is given as,

⇒ (x + 3) × (x + 7)

⇒ x² + 10x + 21

Area of second rectangle is given as,

⇒ (x - 1) × (x - 8)

⇒ x² - 9x + 8

Hence, the area of both the rectangles are obtained as  x² + 10x + 21 and  x² - 9x + 8 respectively.

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Answer:

Given

We know in the III quadrant both sine and cosine are negative.

Use the following identities to get values of sinθ and cos θ

Substitute the value of tanθ and find sine and cosine:

Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Answer:

9

Step-by-step explanation:

hope this helps have a good day

Answer:

9

Step-by-step explanation:

turn it into

2/1 * 9/2 = 18/2 = 9

Length = 20 ft

If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.

Perimeter formula is ((Width × 2) + (Length × 2))

10 × 2 = 20

20 × 2 = 40

40 + 20 = 60

Answer:

The answer is D

Step-by-step explanation:

55 miles multiplied by 1 hour is 55,

55 miles multiplied by 2 hours is 110,

55 miles multiplied by 3 hours is 165,

55 miles multiplied by 4 hours is 220,

and 55 miles multiplied by 5 hours is 275

The parabola is open upward direction. The vertex is the minimum value of the parabola.

What is a parabola?

A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.

Given quadratic function is

f(x) = 5x² -3x

The leading term of the given function is 5x².

The sign of the leading term is positive, thus it is open upward direction.

Rewrite the given function in the form f(x) = a(x - h)² + k

f(x) = 5x² -3x

f(x) = 5( x² - 3/5 x)

f(x) = 5( x² - 3/5 x + 9/100 - 9/100)

f(x) = 5( x² - 3/5 x + 9/100) - 5 × 9/100

f(x) = 5( x -  3/10)² - 9/20

f(x) = 5( x -  3/10)² + (-9/20)

The vertex of the parabola is (3/10, -9/20).

Since the parabola opens upward direction, thus the vertex of the parabole is a minimum value.

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A function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.

Given an equation y = 14x -4 there is an equation that is perpendicular to this given equation.

from the slope-intercept of a linear equation:

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

thus the slope of the given equation is 14

The slope of the required equation = 1/14

Since both equations are perpendicular

From the slope intercept of the required line equation of a line:

y = 1/14x + c...(2)

Since, it passes through the point (28, 16)

Thus, 16 = 1/14 *28 + c

c = 16

from equation 2

y = 1/14 x + 14

from the table, two given coordinates of a linear function are (4, 36) and (6, 56)

thus slope of the line = (y₂ - y₁) / (x₂ - x₁)

Slope of the line = 20/2 = 10

Equation of a line:

y = 10x +c

Since, it passes through the point  (4, 36)

Thus, 36 = 40 + c

c = -4

Therefore, the required equation from the table is y = 10x - 4

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An angle that measures 90 degrees is called a right angle, an angle that measures 180 degrees is called a straight angle and an angle that measures 270 degrees is called a reflex angle.

A right angle is an angle that measures exactly 90 degrees. It is formed by the intersection of two lines that are perpendicular to each other. A right angle is symbolized by a small square at the vertex of the angle.

A straight angle is an angle that measures exactly 180 degrees. It is formed by the intersection of two lines that are collinear, that is, they lie on the same line. A straight angle is represented by a straight line, usually with an arrow on one end pointing in the direction of the other end.

A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is formed by the intersection of two lines that are not collinear, that is, they don't lie on the same line and the angle is greater than a straight angle. A reflex angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.

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The slope of the line through (-9,6) and (-6,-9) is -5

Now, According to the question:

Let's know:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The formula for the slope of a line when two points (coordinate pairs)

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given is :

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] ,  where m denotes the slope of the line.

Applying this formula, we get:

[tex]m = \frac{-9-6}{-6-(-9)}[/tex]

[tex]m = \frac{-15}{-6+9}[/tex]

m = [tex]\frac{-15}{3}[/tex]

m = -5

Hence, The slope of the line through (-9,6) and (-6,-9) is -5.

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The complete question is this:

What is the slope of the line through (-9,6) and (-6,-9) ?

Answer:

The discriminant equates to 0. (the expression underneath the square root sign will equal 0) This means that the curve will not cross the x-axis in two places.

Answer:

b²-4ac=0

Step-by-step explanation:

where

b²-4ac <0 it has no solution

b²-4ac >0 it has two solution

Answer:

  18 tickets at $7

Step-by-step explanation:

You want a "Singapore Math" model solution to the number of $7 tickets Mrs. Hana bought if she got $14 change from $200, and she received a total of 30 tickets, some of which cost $5 each.

The attachment shows the model we decided upon. Starting from $200, we subtract $14 in change, then divide the remainder into tickets costing $7 each and tickets costing $5 each. The point where the total number of tickets is 30 is the point that identifies the solution.

Mrs. Hana bought 12 tickets at $5 each, and 18 tickets at $7 each.

__

Additional comment

Most illustrations of Singapore Math models are solving for a single variable. Here, we must choose values for two variables (the numbers of $5 and $7 tickets) so the intended model isn't clear.

The model we have used is adequate for the purpose, but tedious to construct. It requires us to identify the point at which the count of $7 tickets (top bar) and the count of $5 tickets (bottom bar) has a sum of 30.

Answer:

2(4 - 1)

Step-by-step explanation:

Answer: 8 dogs

Step-by-step explanation:

There are 96 animals in the shelter.

1/3 are ferrets which means that the number of ferrets is:

= 1/3 * 96

= 32 ferrets

Remaining animals:

= 96 - 32

= 64 animals

7/8 of the remaining are rabbits:

= 7/8 * 64

= 56 rabbits

Number of dogs is what is left so:

= 64 - 56

= 8 dogs

Yes it is possible to make the prediction about Ramiro's School but not completely.

It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.

With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.

For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.

It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.

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Answer:

A D and E

Step-by-step explanation:

I did it on e2020 and it was right

Answer:

The correct answers are:

A: 3.5 + 2.2t + 9.8

D: 9.8 + 3.5 + 2.2t

E: 2.2t + 9.8 + 3.5

Step-by-step explanation:

Hope this helps!

100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

Assume that there are x gigabytes of data.

The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.

The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.

Charles must pay the same amount for internet service as Wilma, so;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

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Given:

The function is:

[tex]y=-3(x+1)^2-1[/tex]

The parent function is:

[tex]y=x^2[/tex]

To find:

The transformation of the given function from the parent function.

Solution:

The transformation of a function is given by:

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph of f(x) is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function can be written as is:

[tex]g(x)=-3(x+1)^2-1[/tex]

Let the parent function be [tex]f(x)=x^2[/tex], then

[tex]g(x)=-3f(x+1)-1[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=-3,a=1,b=-1[/tex]

Therefore, the graph of parent function is stretched vertically by by factor 3 and reflected across the x-axis because [tex]k=-3[/tex], after that the graph of the function shifts 1 unit left and 1 unit down to get the graph of given function.

Answer:

the median is 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

first list in numerical order

18,20,20,21,25,27,28,30,30,31

/ / / / / / / /

you are left with 25 and 27 and in-between that is 26 so 26 is the median