Please help me find the volume of the triangular prism and the area of the hexagon.

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].

We have to find AB and BC.

[tex]\angle BAC = 72^\circ[/tex]

Using trigonometric functions:

[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]

[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Answer:

2

Step-by-step explanation:

10 + 13 + 5 = 28 who drink either, or, or neither

30 - 28 = 2

Answer:

2 drink both tea and milk

Step-by-step explanation:

30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.

Answer:

x = 2

Step-by-step explanation:

7x + 5 = 19

Subtract 5 on both sides

7x = 14

Divide by 7 to isolate x

x = 2

Hope this helps!

Answer:

December

Step-by-step explanation:

87-38 = 49

Answer:

[tex]8x[/tex]

Step-by-step explanation:

[tex]4 \: time \: 2x = 8x[/tex]

Answer:

the awnser is 10

Answer:

It is L*W*H.

Width times Height

Step-by-step explanation:

I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.

Formula for rectangle prism: L*W*H

Area of the front of the prism: Width times height

Answer:

12cm2

Step-by-step explanation:

edge 2020 correct on assignment

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

~ an aesthetics lover

y=-2x-8 this should be right i had this same problem before :)

Answer:

14.95

Step-by-step explanation:

every 1 pound is 2.99 so you would do 2.99 * 5

Answer:

$14.95

Step-by-step explanation:

To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.

Answer:

y>1

Step-by-step explanation:

y-1 > 0

Add 1 to each side

y-1 +1> 0+1

y>1

Answer:

The result is 2 > 1. Hence, the series diverges

Step-by-step explanation:

You have the following series:

[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex]   (1)

You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:

[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)

Then, you replace the series (1) in (2):

[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]

In the ratio test you have that if the limit is greater than 1, the series diverges.

The result is 2 > 1. Hence, the series diverges.

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

Answer:

I believe the answer is C. Driver.

Step-by-step explanation:

The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.

Answer:

you would go down 2 from the point

Step-by-step explanation:

Answer:

$3.75/lb

Step-by-step explanation:

First, let's set up a proportion. The top number represents the cost, while the bottom number represents how many pounds. In order to get a unit rate, we need to figure out how much it costs for 1 pound.

[tex]\frac{13.5}{3.6} =\frac{x}{1}[/tex]

Now, cross multiply. To cross multiply, you would multiply 13.5 by 1 and 3.6 by x.

[tex]13.5 * 1 =13.5\\3.6*x=3.6x[/tex]

Set these two equal to each other.

[tex]13.5=3.6x[/tex]

Divide both sides by 3.6 to get x.

[tex]\frac{13.5}{3.6} =\frac{3.6x}{3.6}\\x=3.75[/tex]

For unit rates, you have to write your answer as per unit. To do that, put a slash next to your answer, and then your unit.

$3.75 / lb (unit)

Answer:

volume = 11,664 units cubed

Step-by-step explanation:

2[tex]x^{2}[/tex] times 3 = bottom and sides

[tex]x^{2}[/tex] times 2 = ends

A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]

2592 = A

2592/8 = 8[tex]x^{2}[/tex]/8

324 = [tex]x^{2}[/tex]

take square root of both sides

18 = x

so volume = length times width times height

2(18) times 18 times 18 = 11664

11664 units cubed

Answer:

(-1, -2.5)

Step-by-step explanation:

The midpoint formula is just basicallyadding both  of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.

Brainliest please, I need a few more :D

Answer:

0

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

0

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

if you have 3 apples and 3 banannas in all you have 6 fruits in total :)

3 bugs+ 3 ladybugs= 6 bugs

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers."  The function is defined for all x.  

Answer:

Option A is correct.

Step-by-step explanation:

Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)

1. p bar = 0.0061

2. x bar = 6.992

3. UCL = 0.019

4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.

5. UCL = 58.90; LCL = 40.24

6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.

7. Process mean is not within statistical control. One of the points lies above the upper control limit.

8. UCL = 0.133

9. Process is out of statistical control. There is a downward trend.

10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.

PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.

Answer:  I hope this helps

Right scalene triangle

Step-by-step explanation:

The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.

Please mark brainliest if you are satisfied with this answer  :)

Answer:

Mean = [26 + 31 + 39 + 32]/4 = 32

MAD = (1/4) x [|26 - 32| + |31 - 32| + |32 - 32| + |39 - 32|] = (1/4) x 14 = 3.5

Hope this helps!

:)

Answer:

3.5 putts

Step-by-step explanation:

Mean: 26 + 31 + 32 + 39 = 128/4 = 32

32 - 26 = 6

32 - 31 = 1

32 - 32 = 0

32 - 39 = 7

Mean Absolute Deviation (MAD): 6 + 1 + 0 + 7 = 14/4 = 3.5

~ hope this helps you, have a good day ~

Answer:

30

Step-by-step explanation:

Answer:

LCM(2,6,10)

Least Common Multiple is :

30

Calculate Least Common Multiple for :

2, 6 and 10

Factorize of the above numbers :

2 = 2

6 = 2 • 3

10 = 2 • 5

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

2 Number

6 Number

10 L.C.M

(max)

2 1 1 1 1

3 0 1 0 1

5 0 0 1 1

LCM = 2 • 3 • 5

Least Common Multiple is :

30

Step-by-step explanation:

fffggy nu fjxjxjxjcjcjdj

please Answer:

lol

Step-by-step explanation:

Answer:

0.6t - 4.3s - 2.6.

Step-by-step explanation:

PEMDAS

Answer:

-4.3s+0.6t-2.6

Step-by-step explanation:

Add like terms:

-3.5t+4.1t-4s-0.3s+4.5-7.1

= 0.6t-4.3s-2.6

= -4.3s+0.6t-2.6

Answer:

A) 70.5

Step-by-step explanation:

cos x = adjacent side/ hypotenuse

cos x = 10/ 30

cos x = 0.3

cos 70 = 0.3420

cos 71 = 0.3256

x = 70.5