Find the value of x in the triangle shown below 6 2

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

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Answer:

36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

Step-by-step explanation:

the answer is in the picture

Answer:

Tom paints the fence in 24 hours and Bill paints the fence in 12

Step-by-step explanation:

T = 1 fence / x hours

B = 1 fence / x - 12 hours

B + T = 1 fence / 8 hours

( 1 fence / x - 12 hours ) + ( 1 fence / x hours ) = 1 fence / 8 hours

( 1 / x - 12 ) + ( 1 / x ) = 1 / 8

multiply through all the denominators to get:

8x + 8 (x - 12 ) = x( x - 12 )

8x + 8x - 96 = x^2 - 12x

combine like terms to get:

x^2 - 28x + 96 = 0

factor to get:

( x - 4 ) ( x - 24 ) = 0

x = 4, 24

4 won't work, because that would mean Bill would take a negative amount of time to paint the fence by himself, so that means

Tom paints the fence in 24 hours and Bill paints the fence in 12

Using the normal distribution and the central limit theorem, it is found that the power of the test is of 0.9992 = 99.92%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The power of the test is given by the probability of a sample mean above 8, which is 1 subtracted by the p-value of Z when X = 8, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 8.5}{0.1588}[/tex]

[tex]Z = -3.15[/tex]

[tex]Z = -3.15[/tex] has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

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Answer:

D

Step-by-step explanation:

π/3

Coterminal angle:-

Or

Option D

Answer:

$975

Step-by-step explanation:

The car is rented for 3 weeks

the rent is for a week is $280 so for three weeks it would be

3*28 = $840

now we need to add the per mile price to this

1 mile = $0.15 for 900 miles it would be

900*(0.15) = 135

So the total rental cost is

$840 + $135 = $975

In a straight line, all angles sum up to 180°

====================================

[tex]\hookrightarrow \sf x +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x}{4} +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x+x}{4} = 180[/tex]

[tex]\hookrightarrow \sf 4x+x= 180(4)[/tex]

[tex]\hookrightarrow \sf 5x= 720[/tex]

[tex]\sf \hookrightarrow x = 144[/tex]

Answer:

x = 144°

Step-by-step explanation:

Since the larger line is a straight line, ∠1 and ∠2 are a linear pair. A linear pair is such a pair where two angles sum up to 180°.

⇒ ∠A + ∠B = 180°

Substitute the measure of ∠A and ∠B

⇒ x + x/4 = 180°                                                                    [∠A = x; ∠B = x/4]

⇒ 4x/4 + x/4 = 180°                                                           [Rewrote x as 4x/4]

⇒ 5x/4 = 180°

Using cross multiplication

⇒ 5x = 180 × 4 = 720

⇒ x = 720/5 = 144°

Answer:

51

Step-by-step explanation:

6 dogs: 11 cats

12 dogs: 22 cats

18 dogs : 33 cats

18 + 33 = 51

Have an amazing day!!

PLEASE RATE!!

Answer:

x = 64

Step-by-step explanation:

2/x = 1/32

cross multiply

2 × 32 = x × 1

64 = 1x

64 = x

Answer:

250

Step-by-step explanation:

gsv

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the 4th one because it's the only one that rotated at 90° clockwise and around the origin.

Answer:

5,90

Step-by-step explanation:

got it correct :)

The second solution for the system of equations is (5, 90).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given the system of equations,

y - 10 = 11x + x² and

y - 12x = 30

Consider second equation.

y - 12x = 30

⇒ y = 30 + 12x

Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,

(30 + 12x) - 10 = 11x + x²

12x + 20 = 11x + x²

12x - 11x - x² + 20 = 0

-x² + x + 20 = 0

x² - x - 20 = 0

Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9

x = (1 + 9)/2 and x = (1 - 9) / 2

x = 5 and x = -4

The solution x = -4 and y = -18 is given.

Other solution is,

x = 5

y = 30 + 12x = 30 + 60 = 90

Hence the second solution is (5, 90).

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Answer:

(5,1)

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

you just divide 8 and 4

8÷4= 4

Answer:

by the way u typed in your answer I got -15n-12

Step-by-step explanation:

let me know If it is written another way

Answer:

its b

Step-by-step explanation:

Answer:6 degrees

Step-by-step explanation:

Answer:

[6

-1.5]

the six and 1.5 are in the same bracket the 6 in ontop

Hi! I hope you're enjoying your day!

Please remember that the coefficient is the number before a variable.

Also, if we have no coefficient, then we have a coefficient of 1.

Here we have

x^3 (no coefficient)

the power is after the ^ symbol or written above a number (like [tex]\bold{t^h}[/tex]) where h is the power of t

Hence, the answer is

[tex]\boxed{\boxed{\bold{3}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, feel free to use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

Answer:

A

Step-by-step explanation:

Reflects across the y axis then rotates 180 degrees.

Answer:

reflection then rotation

Step-by-step explanation:

because to get 2 you reflect then 3 is rotated

Step-by-step explanation:

mx + b = y

2x + 96 = y

-3x + 80 = z

What we want is y to be twice z, or y = 2z

If we're going to make 2z, then that means its equation needs to be doubled as well:

2x + 96 = 2(-3x + 80)

2x + 96 = -6x + 160

8x = 64

x = 8

Now to check our answer:

2 * 8 + 96

16 + 96 = 112

-3 * 8 + 80

-24 + 80 = 56

56 * 2 = 112

hope it helps :)

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex](x)(y)=9(4)[/tex]

[tex]\sqrt{x^2} =\sqrt{36}[/tex]

[tex]x=6[/tex]

~

Answer:

C.-336

Step-by-step explanation:

g(25)=24(25‒39)

=24(‒14)

=‒336

i hope it helps you

Step-by-step explanation:

g(x) =24(x-39)

g(25)=24(25-39)

=24(-14)

=-336

=c

Answer:

C) Negative

Step-by-step explanation:

This is because the top is left and going right

Answer:

negative

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

edg 2021

we know that π/2 < θ < π, which is another way of saying that θ is in the II Quadrant, so half that angle will most likely be located on the I Quadrant, where cosine as well as sine are both positive.

Now, let's keep in mind that θ itself is in the II Quadrant, where the cosine is negative whilst the sine is positive.

[tex]\textit{Half-Angle Identities} \\\\ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's now find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{25^2-7^2}=a\implies \pm\sqrt{576}=a\implies \pm 24=a\implies \stackrel{II~Quadrant}{-24=a} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-24}}{\underset{hypotenuse}{25}} \\\\\\ sin\left(\cfrac{\theta}{2}\right)\implies \pm \sqrt{\cfrac{1-\left( -\frac{24}{25} \right)}{2}}\implies \pm \sqrt{\cfrac{1 +\frac{24}{25} }{2}}[/tex]

[tex]\pm\sqrt{\cfrac{~~\frac{49}{25} ~~}{2}}\implies \pm\sqrt{\cfrac{49}{50}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{49}{50}}}\implies \cfrac{\sqrt{49}}{\sqrt{50}}\implies \cfrac{7}{5\sqrt{2}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{7}{5\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{7\sqrt{2}}{5\sqrt{2^2}}}\implies \cfrac{7\sqrt{2}}{10}[/tex]