Answer:
The angle is 30° and the horizontal line is 23.094 m.
Step-by-step explanation:
The angle (x):
[tex] \sin(x) = 20 \div 40[/tex]
[tex] \sin(x) = 0.5[/tex]
[tex]x = { \sin }^{ - 1} (0.5)[/tex]
[tex]x = 30[/tex]
The horizontal line (y):
[tex] \cos(30) = 20 \div y[/tex]
[tex]y \cos(30) = 20[/tex]
[tex]y = 20 \div \cos(30) [/tex]
[tex]y = 23.094[/tex]
Carey needs $60 to buy her mother’s a gift. She saved 25% of that amount so far. How much has she saved so far?
Answer:
$15Step-by-step explanation:
25% of $60 is:
25*60/100 = 15She saved $15 so far
Suppose that during the 1990s, the population of a certain country was increasing by 1.7% each year. If the population at the end of 1993 was 5.4 million, what was the population at the end of 1994?
a.
91,800 people
c.
5,400,000 people
b.
5,612,879 people
d.
5,491,800 people
Answer:
If the population increases by 1.7% every year then
1994 population = 1993 population * .017 + 1993 population
1994 population = 5,491,800
Answer is "d".
Step-by-step explanation:
discounts mark up and mark downs! Due IN 10 mins!! PLZ HELP
2. $199 ring; 10% discount
Answer:
19.9 is the answer
Step-by-step explanation:
10 percent of 199 is 19.9
A bike path is 8 miles. Max is 40% of the way to the end. How far is max on the path?
Mark glues together four pieces of wood to make one long strip. The pieces measure 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches. How long is the strip of wood?
Given that,
Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
To find,
The length of the strip of wood.
Solution,
Mark glues together four pieces of wood to make one long strip.
Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
L = 16.75 + 9 + 24.25 + 12.5
= 62.5 inches
Hence, the strip of wood is 62.5 inches long.
3 x 3 x 3 cube is painted and it is cut into 27 cubes how many small cubes will have paint on exactly two faces
Answer:
12
Step-by-step explanation:
See attached picture. We have a 3x3x3 cube. If we cut it into 27 cubes, we will end up with a rubik's cube like cube. Each of the small cubes will measure 1x1x1. So if we pay close attention to the cube, we will see that only the cubes on the edges will have two of its faces painted in two colors. We can think of the cube as having three layers. Each of the layers will have 4 edge cubes, so we will have in total:
3x4=12 cubes that will have only two of its faces with paint on them.
The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in hours. What is the number of total bacteria after 3 hours?
Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
[tex]b(3)=1001.06(3)[/tex]
[tex]b(3)=3003.18[/tex]
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
[tex]b(3)\approx 3003[/tex]
Therefore, the number of total bacteria after 3 hours is about 3003.
Use <, >, or = to compare the following
8 and -8
-1 and -12
Answer:
8 > -8. -1 > -12
Step-by-step explanation:
8 would be larger because its positive.... and -1 would be larger becasue it is closer to the positives
Pleas help!!!
Rewarded brainly
Answer:
whats up
Step-by-step explanation:
Answer:
With what?
Step-by-step explanation:
if Efx=300+30p and N=10+p, find the valu of mean
mean=30
Step-by-step explanation:
mean=Efx/n
=300+p/10+p
= 30(10+p)/10+p
=30
Maurice takes a roast out of the oven when the internal temperature of the roast is 165F after ten minutes , the temperature roast drops to 145
The above question is incomplete
Complete Question
Maurice takes a roast out of the oven when the internal temperature of the roast is 165°F. After 10 minutes, the temperature of the roast drops to 145°F.
The temperature of the room is 72°F.
How long does it take for the temperature of the roast to drop to 120°F?
Answer:
27.3143 minutes
Step-by-step explanation:
Using the Newton's law of cooling: The formula is given as:
T (t) = T₀ + T₁ e^ (rt)
Where
T₀ = Original temperature of the room (°F) ; 72°F
T₁ = Temperature of the roast (°F)
This is calculated as:
165 - 72 =93°F
r = Rate of cooling (°F/min)
t = time (min)
Substituting the values, we can obtain:
T (t) = 72 + 93 e ^rt
Step 1
We solve for r
From the question, we know that: the temperature dropped to 145°F after 10 minutes,
t =10 mins and T(10) = 145 °F
Substituting
T(10) = 72 +93 e^10r
145 = 72 + 93 e^10r
145 - 72 = 93 e^10r
Divide both sides by 93
(145-72)/93 = e^(10r)
We take the natural logarithm of both the left and right hand sides
In [(145-72)/93 ] = In (e^10r)
In [(145-72)/93 ] = 10r
-0.24214 =10r
r = -0.24214/10
r = -0.02421 °F/min
Substituting into
-0.02421 °F/min for r in the Equation below
T (t) = 72 + 93 e ^rt
T (t) = 72 + 93 e^ (-0.024214t)
To find the time taken to reach 120°F, we substitute into equation
120 = 72 +93 e^(-0.024214 ×t)
(120-72)= 93 e^ (-0.024214t)
Divide bother sides by 93
[(120-72)/93] = e^-0.024214t
We take the natural logarithm of both sides
In[(120-72)/93] = In(e^-0.024214t)
-0.66139 = -0.024214t
Divide both sides by -0.024214t
t = -0.66139/ -0.024214
t =27.3143 minutes
A bottle is 2 litre mennu drank 1/8.How many did neenu drink
Answer:
Volume drank by Mennu = 250 ml
Step-by-step explanation:
Given:
Volume of bottle = 2 liter = 2000 ml
Mennu drank = 1/8 of bottle
Find:
Volume drank by Mennu
Computation:
Volume drank by Mennu = Volume of bottle x Mennu drank
Volume drank by Mennu = 2,000 x 1/8
Volume drank by Mennu = 250 ml
A $61.50 video game is 78% off. How much do you pay?
PLEASE HELP ME
Answer:
$13.53
Step-by-step explanation:
78% off means you are paying only 22% of 61.50
.22 x 61.50 = 13.53
or
find 78% of 61.50 (it's 47.97) and deduct that value from 61.50
Which of the following are solutions to the equation below?
Check all that apply.
x2 - 8x + 16 = 5
Answer:
the equation requires you to collect like terms that bringing 5 to the next side which let it -5
And then use Quadratic equation in solving
Formula: -b +or - square root b2 -4ac
everything divide by 2a
Answer:
\/5+4 and -\/5+4
Step-by-step explanation:
\/ is square root
When 2(3/5x + 2 3/4y - 1/4x - 1 1/2y + 3) is simplified, what is the resulting expression?
Answer:
the answer is 1 7/10+ 2 1/2y +6
Step-by-step explanation:
A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
How much will Bill pay in Medicare if he makes $100,000 next year?
Answer:
what are the answer questions?
Step-by-step explanation:
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Which events are independent?
Select each correct answer.
One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.
Answer:
A six sided number cube is rolled and a coin is flipped
Step-by-step explanation:
These are two different objects that have 0 correlation with eachother
Martin is ordering dvds online. Each dvd is priced at $8.50. The website also charges a flat fee of $5.00 fo shipping and handling for any size order. If Martin decides to spend no more than $56, how many dvds can he buy
Answer:it’s A
Step-by-step explanation:
I got It right on test
What is the equation of the line whose Y intercept is 3 and slope is 1?
A) Y=x-3
B) Y=x+3
C) Y=3x+1
Answer:
y=x+3
Step-by-step explanation
The slope intercept form equation is y=mx+b. m is the slope and b is the y intercept. In this scenario, plug it back in to m and b. m=1 and b=3 so it would be y=1x+3. However, we don't include the one so it would just be y=x+3
please explain and write the answer!
Answer:
You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.
So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)
A company's stock was selling at $28 a share. A month later it was selling at $21 a share. What is the percent loss?
Answer:
25%
Step-by-step explanation:
[tex]percentage \: loss \\ \\ = \frac{28 - 21}{28} \times 100 \\ \\ = \frac{7}{28} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\% [/tex]
In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog.
Answer:
Solution in photo
Step-by-step explanation:
PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
1.5*2.5 = 3.75
15/4 = 3.75
Jim bought a meal in a town that has no sales tax. He tlps 15%. Select all the meals Jim could buy for less than or equal to $30 total.
Jim bought a meal in a town that has no sales tax. He tlps 15%. All the meals Jim could buy for less than or equal to $30 total are $20.54 meal and $26.08 meal.
bill spent less than $26 on a magazine and five composition books. the magazine cost $4. write an inequality to represent the situation and then solve the inequality to find the maximum cost of each composition books.
Answer:
6.5
Step-by-step explanation:
Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4
A formal, logical explanation of some events that includes descriptions of how things relate to one another is called a(n):
Answer:
Theory
Step-by-step explanation:
The theory refers to an explanation of something. It should be understandable also it contains some logic behind that
It is a formal, logical for events that involved the descriptions that related the things to one another
Therefore the above represent the theory
Hence, the same is to be considered
A small business plans to order carpet for 4 identical offices. The floor of each office is 7.2 feet long and 5.8 feet wide. What is the total area?
The total area of office that the small business needs to carpet is 174ft^2
What is the area of rectangle?The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width. The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'.
So, the Area of Rectangle = (a × b) square units.
The area of a rectangle is length ✕ width.
So, width = area/length
length = 7.2 ft
width = 5.8ftnumber of office = 4
Area of one office = 7.2 * 5.8 Area of one office = 43.5ft^2
The total area of the four offices will be 43.5 * 4 = 174ft^2
Learn more on area of a rectangle here;
https://brainly.com/question/25292087
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£800 share in to 3:13:18
Answer:
60,260,360
Step-by-step explanation:
pretty sure this is it PLEASE GIVE ME BRAINLIEST IM DESPERATE
Answer:
See below
Step-by-step explanation:
I think ratio is different, it should be 9:13:18
I'll answer both options
Ratio of 3:13:18800 = 3x + 13x + 18x800 = 34xx = 800/34x = 23 18/34 = 23 9/17Shares are:
3*23 9/17 = 69 27/17 = 70 10/17 or 70.5913*23 9/17 = 299 117/17 = 305 15/17 or 305.8818*23 9/17 = 414 162/17 = 423 9/17 or 423.53Ratio of 9:13:18800 = 9x + 13x + 18x800 = 40xx = 20Shares are:
9*20 = 18013*20 = 26018*20 = 360