What is the area of the following circle?

Answer:

15 and 12

Step-by-step explanation:

Set the two sides as x and y

y=x-3

P = 2w+2l

2x+2(x-3) = 54

4x-6=54

4x=60

x=15

y=12

Answer:

work is shown and pictured

Answer:

1) The volume of the model is 3159 in.³

2) The height of the real facility is 61.94 ft

Step-by-step explanation:

1) The parameters given are;

Volume of the Estabrook hall = 117 ft³

Scale of model = 1:4

For the scale factor of a volume, we have;

[tex]Volume \, scale \, factor =\left (\frac{a}{b} \right )^3 = \left (\frac{1}{4} \right )^3 = \frac{1}{64}[/tex]

That is the volume of the model is 1/64 times the volume of the actual Estabrook hall restrooms or

[tex]\frac{1}{64} \times 117 \, ft^3= 1\tfrac{53}{64} \, ft^3[/tex]

∴ The volume of the model = 1.83 ft.³

1 ft.³ = 1728 in.³

∴ 1.83 ft.³ = 1.83 ft.³ × 1728 in.³/ft.³ = 3159 in.³

2) Where the model of the floor has an area of 117 in.²

Therefore, since the volume of a rectangular prism shape = Floor area × Height, we have

The height, h = Volume/(floor area) = 3159/117 = 185.8 in.

From a scale of 1:4, we have that the height of the real facility = 4 × 185.8 in.

Hence, the height of the real facility = 743.3 in = 61.94 ft.

Answer: 16/25

Step-by-step explanation:

Answer:

The answer is 16/25

Step-by-step explanation:

Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.

When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.

*I also got it right on the edge quiz

Answer:

The answer is y = 3x + 3.

Step-by-step explanation:

Hope it helped!

Answer:

a(10 - 13)

Step-by-step explanation:

The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.

Answer:

correct

Step-by-step explanation:

Answer:

60.63%

Step-by-step explanation:

Prob. of students who regularly attend = 45%

Prob. of students who don't attend = 55%

Upper Class Students who attend = 64 % of 45 %

= 0.64 × 0.45 × 100 = 28.8% = 0.288

Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187

Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475

Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%

Answer:

15

Step-by-step explanation:

.

The greatest number of books by a student in this group is 15.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the box plot,

We can see that,

Median = 6

First quartile = 2

Third quartile = 10

Smallest number = 2

Highest number = 15

Thus,

The greatest number of books by a student in this group is 15.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ3

Answer:

yes, the answer to this question is y=2x

Answer

x  =  − 17 /10  +  I/ 10

( Fraction symbol = /)

Answer:

23/45 or0.51

Step-by-step explanation:

convert:the equation

u will hv 37/9-18/5

subtract. 37/9-18/5=23/45

23/45 or 0.51

Answer: 30 rides I think

Step-by-step explanation:

Answer:

30 rides

Step-by-step explanation:

y = mx + b

0 = -.5x + 20 - 5

0 = -.5x + 15

-15 = -.5x

30 = x

Answer:

390 and 715

Step-by-step explanation:

Answer:

Charlie invests $325 in an account that pays 8% simple interest for 15 years.

Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.

How much interest will Charlie’s initial investment earn over the 15-year period?

✔ $390

How much money does Charlie have after the 15 years?

✔ $715

Step-by-step explanation:

Answer:

41/35

Step-by-step explanation:

Simplify the following:

4/7 + 3/5

Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:

(5×4)/35 + (7×3)/35

5×4 = 20:

20/35 + (7×3)/35

7×3 = 21:

20/35 + 21/35

20/35 + 21/35 = (20 + 21)/35:

(20 + 21)/35

| 2 | 1

+ | 2 | 0

| 4 | 1:

Answer: 41/35

Answer:

68 miles

Step-by-step explanation:

Distance biked on the first five days =67,60 ,69 ,68 , and 70 miles

Let the distance biked on the sixth day=x miles

We want his average for the 6 days =67 miles per day

Therefore:

[tex]Average=\dfrac{67+60+69+68+70+x}{6} \\67=\dfrac{334+x}{6}\\$Cross multiply\\67*6=334+x\\402=334+x\\x=402-334\\x=68 miles[/tex]

He needs to bike 68 miles on the sixth day to get an average of 67 miles per day/

Answer:

i think 3

Step-by-step explanation:

Answer:

5.18 pounds per square inch

Complete question:

If the pressure is 6 pounds per square inch when the temperature is 440° F,find  the pressure exerted when the temperature of the gas is 380°F.

Step-by-step explanation:

According to the Gay Lussac's Law:

[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]

where, P and T are the pressure and temperature of an enclosed ideal gas.

Given:

Initial pressure [tex]P_1[/tex] = 6 pounds per square inch

Initial Temperature [tex]T_1[/tex]=440° F

Final Temperature [tex]T_2[/tex]=380° F

Final Pressure [tex]P_2[/tex]=?

Substituting all values in the formula

[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]

[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]

[tex]P_2[/tex]= 5.18pounds per square inch

Answer:

8cm

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

its is linear I know this for a fact I had this same question

Answer:

630

Step-by-step explanation:

259 rounded to the nearest 10 is 260

372 rounded to the nearest 10 is 370

260+370=630

Hope this helps!

Answer:

AC = 14.65

Step-by-step explanation:

arc length = 2 * pi * R * (theta /360)

= 2 * pi * (24/2) * (70/360)

= 14.65 (ANS)

Answer:

y=-5x+35

Step-by-step explanation:

The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.

First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).

We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.

So, we find that the m value is equal to -5.

The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.

Thus we have the equation of the line is y=-5x+35.

Hope this helps!

Answer:

False.

Step-by-step explanation:

Let's say we had [tex]2^{4}[/tex] we would say 2 to the power of 4.

2 is the base and 4 is the exponent.

Answer:

false

Step-by-step explanation:

the number at the bottom of the exponent is called a base. for example, if your exponent is 2^3, as shown in the image, the 2 would be the base and the 3 would be the power :)

Answer:

0

Check my steps.

Step-by-step explanation:

So there are 125 total in the driver safety course.

There are 28 accidents.

28 / 125

0.224

So... when you round it down, you get 0.

Answer:

24

Step-by-step explanation:

You take 80 and multiply it by .3 which gives you 24

Answer:

[tex]1078[/tex]

Step-by-step explanation:

[tex]9800 \times \frac{11}{100} = 1078[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Vertical.

Horizontal.

Diagonal (often called "cross-products")

Step-by-step explanation:

Answer: 16%

Step-by-step explanation:

Answer:

Sample answer from Edm and Plato

Step-by-step explanation: