A rectangular prism has a length of 112feet, a width of 212feet, and aheight of 8 inches. What is the volume of the prism in cubic inches?
pls hurry :)

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

Answer:

Step-by-step explanation:

Answer:

66 Sq. un

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Convert the cartesian coordinate to the polar coordinate. Then we have

[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]

Then 90° counter-clockwise about the origin, then the angle will be

θ = 326.31 + 90 = 431.31

But θ is from 0 to 360. Then

θ = 431.31 - 360 = 56.31

Then convert the polar coordinate to the cartesian coordinate. Then we have

x = r cosθ

x = 3.61 × cos 56.31

x = 2

and

y = r sinθ

y = 3.61 × sin 56.31

y = 3

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

-2,-3

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

.02

Step-by-step explanation:

Answer:

At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Step-by-step explanation:

The given data are presented as follows;

32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84

We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.

The given sample size = 50

The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01

The standard deviation of the given data, s ≈ 26.59

The null hypothesis, h₀; μ = 47.37

The alternative hypothesis, hₐ; μ < 47.37

The significant level, α = 5%

Therefore, we have;

The test statistics is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Plugging in the values gives;

[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]

The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551

Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.

Answer:

Can you do it in english? I can't read in spanish sorry.

Answer:

[tex]y = 9[/tex]

[tex]x = -3[/tex]

Step-by-step explanation:

Given

[tex]3x + 2y = 9[/tex]

[tex]3x + y = 0[/tex]

Required

Solve by elimination

To do this, we subtract both equations (to eliminate x)

[tex]3x + 2y = 9[/tex]

- [tex]3x + y = 0[/tex]

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

[tex]3x - 3x + 2y - y = 9-0[/tex]

[tex]y = 9[/tex]

Substitute [tex]y = 9[/tex] in [tex]3x + y = 0[/tex]

[tex]3x + 9 = 0[/tex]

Solve for 3x

[tex]3x =- 9[/tex]

Solve for x

[tex]x = -9/3[/tex]

[tex]x = -3[/tex]

Answer:

30[tex]\sqrt{5}[/tex]

Step-by-step explanation:

3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]

Answer:

none of the above

30√5

Step-by-step explanation:

3 √500

3√25x4x5

3x5x2√5

30√5

Answer:

a. grow in value

Step-by-step explanation:

Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, account payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP) and financial accounting standards board (FASB).

This ultimately implies that, it involves specific processes such as recording, summarizing, analysis and reporting of financial transactions with respect to business operations over a specific period of time. Financial experts or accountant uses either the cash basis or accrual basis of accounting.

With regard to financial terminology related to a home or other asset, the word "appreciate" means to grow in value. Thus, an asset that appreciates simply means that it's growing in value over a specific period of time compared to it's initial value.

On the other hand, depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.

Answer:

B) a²-(2*4)

Step-by-step explanation:

Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.

The total area of the figure is a*a=a²

The area of the unshaded figure is 2*4=8 units^2

This means the gray area is a²-(2*4) units^2, making B correct

Answer:

w = 12

Step-by-step explanation:

Answer:

W=9

Step-by-step explanation:

[tex] \frac{2}{6 } = \frac{4}{12} = \frac{3}{9} [/tex]

so W= 9

Answer:

Fraction mulitiplication adding its c

Step-by-step explanation:

Answer:

V = 9/2 ft^3

Step-by-step explanation:

[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]

I hope that is useful for you :)

Answer:A) 20,500

Step-by-step explanation: because 27,000+48,00=75,00  so you divdie that by 30 and you will get your answer of 20,500

Answer:

Down below

Step-by-step explanation:

The probability of the spinner landing on an even number or a multiple of 3 is ___?

1/6

1/3

1/2

2/3

5/6

The probability of the spinner landing on an even number or a multiple of 3 is ___?

13/18

1/3

7/9

2/3

5/6

Answer:

2/3 and 7/9

Step-by-step explanation:

got it correct on plato

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

Answer:

(-5,1)

Step-by-step explanation:

Because if you graph the point and move it 3 units down then that is your awnser.

Answer:

357 in³

Step-by-step explanation:

Sorry that the picture is rotated!

Answer:

-11/12

Step-by-step explanation:

Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

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Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

Answer:

[tex]g(3) = 13[/tex]

Step-by-step explanation:

Given

[tex]g(0) = 1[/tex]

[tex]g(1) = 5[/tex]

Required

Find g(3)

Since g(x) is a linear function, then:

[tex]g(x) = mx + c[/tex]

For: [tex]g(0) = 1[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(0) = m*0 + c[/tex]

[tex]1 = 0 + c[/tex]

[tex]1 = c[/tex]

[tex]c = 1[/tex]

For: [tex]g(1) = 5[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(1) = m * 1 + c[/tex]

[tex]5 = m * 1 + c[/tex]

[tex]5 = m + c[/tex]

Substitute [tex]c = 1[/tex]

[tex]5 = m + 1[/tex]

[tex]m = 5 - 1[/tex]

[tex]m =4[/tex]

So, the function is:

[tex]g(x) = mx + c[/tex]

[tex]g(x) = 4x + 1[/tex]

Calculate g(3)

[tex]g(3) = 4*3 + 1[/tex]

[tex]g(3) = 12 + 1[/tex]

[tex]g(3) = 13[/tex]

Answer:

See below.

Step-by-step explanation:

4(x − 2)=100

Divide both sides by 2.

4/2 (x - 2) = 100/2

2(x - 2) = 50

Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.