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3 years ago

Find the volume of the prism below?

Mathematics

1 answer:

photoshop1234 [79]3 years ago

8 0

Answer:

144 units^3

Step-by-step explanation:

The volume of a triangular prism is calculated like this : 1/2 ×b×h×l

1/2 × 12 × 8 × 3 = 144 units^3

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How do I solve: 15 - w/4 = 28 (this is 2 step equations)

kenny6666 [7]

First we need to isolate the variable so we add 15 to both sides which is
w/4=43 then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43

8 0

3 years ago

Read 2 more answers

Write an equation of the circle that has a diameter with endpoints (12, 3) and<br> (-18,3).

Mademuasel [1]

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

<h3>Coordinates of center of circle</h3>

Since the endpoints of the diameter are (x₁, y₁) = (12,3) and (x₂, y₂) = (-18,3), the coordinates of the center of the circle are the midpoints of the diameter. So, the midpoints are

x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and
y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

So, the coordinates of the center of the circle are (-3, 3)

<h3>The radius of the circle</h3>

The radius of the circle r = √[(x₁ - h)² + (y₁ - k)²] where

(x₁, y₁) = coordinates of end of diameter = (12, 3) and

(h, k) = coordinates of center of circle = (-3, 3)

So, substituting the values of the variables into r, we have

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

<h3>The equation of the circle</h3>

The equation of a circle with center (h,k) is given by

(x - h)² + (y - k)² = r² where r = radius of circle.

Substituting the values of the variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

Learn more about equation of a circle here:

brainly.com/question/18435467

5 0

2 years ago

Marcia is building a doghouse and needs to cut plywood for the roof. Plywood comes in sheets that are 48

djverab [1.8K]

Answer:

A,24ft

Step-by-step explanation:

you have 48^2ft and Marcia needs two squares that are each 12^2ft,

12+12=24

48-24=24

answer=24ft

8 0

3 years ago

A population has a mean of 300 and a standard deviation of 40. Suppose a sample of size 100 is selected and is used to estimate

bazaltina [42]

Answer:

a: 0.9544 9 within 8 units)

b: 0.9940

Step-by-step explanation:

We have µ = 300 and σ = 40. The sample size, n = 100.

For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:

P(292 < x < 308).

We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.

We have P(292 < x < 308) = 0.9544

Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find

P(289 < x < 311)

We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.

We have P(289 < x < 311) = 0.9940

5 0

3 years ago

If you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is d

Inessa [10]

Answer:

Step-by-step explanation:

The branch is Odd, Odd, Even

8 0

3 years ago

Read 2 more answers