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Triss [41]
4 years ago
11

I NEED SERIOUS HELP!!! Find the volume of the rectangular prism The volume is __cm. Cubed

Mathematics
1 answer:
GuDViN [60]4 years ago
7 0

Answer: 88cm^2

Step-by-step explanation:

To find the answer of a rectangular prism, use this formula:

A=2(wl+hl+hw)

For your prism, h = 4, l = 6, and w = 2.

A = 2(2*6+4*6+4*2)

A=2(12+24+8)

Area is equal to 88 cm squared.

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IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.
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Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6

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3 years ago
2. What is the theoretical probability that you will draw each of the following?
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3 years ago
What is a interrogative sentence
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3 0
3 years ago
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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr
Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

y = 3x - 2.

10(x + \frac{3}{5} ) = 2y

A. y = 5x + \frac{3}{10}

B. y = 5x + 3

C. y = \frac{1}{5} x + \frac{3}{25}

D. y = \frac{1}{2} x + 6

Answer:

B. y = 5x + 3

Step-by-step explanation:

Given

Equation 1: y = 3x - 2.

Equation 2: 10(x + \frac{3}{5} ) = 2y

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

10(x + \frac{3}{5} ) = 2y

Open the bracket

10*x + 10 *\frac{3}{5} = 2y

10x + \frac{30}{5} = 2y

Simplify fraction

10x + 6 = 2y

Divide through by 2

\frac{10x}{2}  + \frac{6}{2} = \frac{2y}{2}

5x + 3 = y

Re-arrange

y = 5x + 3

The next step is to compare each of option A through D with y = 5x + 3

A.

y = 5x + \frac{3}{10} is not equal to y = 5x + 3

We check the next available option

B.

y = 5x + 3 is equal to y = 5x + 3

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

y = \frac{1}{5} x + \frac{3}{25}

Convert fraction to decimal

y = 0.2x + 0.12

This is not equal to y = 5x + 3

D.

y = \frac{1}{2} x + 6

Convert fraction to decimal

y = 0.5x + 6

This is not equal to y = 5x + 3

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

7 0
3 years ago
Read 2 more answers
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