What is the volume of a triangular pyramid that is 4ft tall and has a base area of 3 square feet

Answers

Answer 1

Answer: Formula of the Volume of a Pyramid is: $(1)/(3)$ ×Area of Base×Height of pyramid
V= $(1)/(3)$ ×3×4 (area of base=3 ft²)
V=4 ft³
$(1)/(3)$ and 3 cancels out.

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What is the solution to the equation?5(8 + 7) = 5 • x + 5 • 7

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 8

Answers

5(8 + 7) = 5(8) + 5(7) . . . . . . . . (distributive property)
Therefore, x = 8

X=8 completely right.

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.Draw and label the dimension of a scale drawing of Mai’s kitchen, using a scale of 1 to 40.

Answers

Answer:

Step-by-step explanation:

This is an easy problem to work out, but a little hard to explain with just words and not a drawing.

Do you understand "scale"? As in a "map scale"? So many inches equals one mile or one kilometer?

If you were to draw this kitchen at "full scale" you'd need a really big piece of paper, right? 6m by 2m at least.

But that's not very helpful, so you "scale" it down. What if you divided each measurement by 2? Then your piece of paper would 'only' need to be 3m by 1m. Still too big though, right?

So cut each measurement in half again, and you're down to 1.5m by 0.5m. Getting better. What we just did there is a "scale of 1 to 4," often written as 1:4. (Cutting in half twice is 1/4th, or 1:4.)

But the problem specifies 1:40, so simply divide by 10 now, and you no longer need a piece of paper 1.5m x 0.5m, but only 0.15m (15cm) by 0.05m (5cm).

So on a piece of paper and draw a line 15cm long. That's the scaled graphical representation of the long side of Mai's kitchen. 6m in the real world is 600cm. Divide that by the "scaling factor" of 40 to get 15cm that you draw on your paper.

The other side of her rectangular kitchen scales down to 5cm. (200cm/40). So add that as the short leg, then complete the other two sides of the rectangle.

When they say to scale something down, simply divide all the dimensions by the scaling factor.

(If you were to scale up, you'd multiply by the scaling factor.)

Solve the equation 8x-12=5x+15

Answers

8x-12=5x+15
add 12 to both sides

8x=5x+27
subtract 5x from both sides

3x=27
divide by 3

x=9

8x = 5x + 27 Add 12 to both sides

3x = 27 Subtract 5x from both sides

x = 9 Divide both sides by 3

I WILL MAKE BRIANLIEST PERSON BRIANLY. HAALP!!!!!

Answers

Answer:

she did not randomly select enough students

Step-by-step explanation:

there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+3)^2=26(x-2) where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?