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Charra [1.4K]
3 years ago
8

What is the volume of the pyramid

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

For this case we have by definition, that the volume of a square base pyramid is given by:

V = \frac {1} {3} * L ^ 2 * h

Where:

L: It's the side of the base (square side)

h: It's the height of the pyramid

Substituting:

L = 6 \ ft\\h = 10 \ ft

V = \frac {1} {3} * (6) ^ 2 * 10\\V = \frac {1} {3} * 36 * 10\\V = 120 \ ft ^ 3

Answer:

V = 120 \ ft ^ 3

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The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
Julli [10]

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
6 ft.<br> 12 ft.<br> 8 ft.<br> The area of this irregular<br> figure is<br> -sq. ft.<br> 16 ft.
nikdorinn [45]

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2   = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

3 0
3 years ago
Evaluate -5 - 15 + 4 + 15
dexar [7]

Answer:

Step-by-step explanation:

-5+-15= -20

4+15= 19

-20+19

-1

7 0
3 years ago
Read 2 more answers
Kendra needs 1 dollar to buy a ball she has 73 cents what coins does she need to add her 73 cents
Alexeev081 [22]

Answer:

Kendra needs 3 coins (1 coin of 25 cent & 2 coins of 1 cent)  to add 27 cents in 73 cents to make 1 dollar

Step-by-step explanation:

Given :

Kendra has 73 cents

She need 1 dollar to by a ball

∴ She requires additional money = 1\ dollar - 73 \ cents = 27 \ cents

Standard Coins available are 50 cents , 25 cents, 10 cents, 5 cents and 1 cent.

To make 27 cents =  25+1+1 = 1 coin of 25 cent & 2 coins of 1 cent

5 0
3 years ago
What is the y-intercept of f(x)<br> -(1)?<br><br> A. (1,0)<br> B.(1 1/4)<br> C. (0,0)<br> D. (0,1)
Nataly [62]

Y intercept is where our x variable is equal to 0 and where the graph touches the y-axis.

Therefore, you can get the y intercept by just plugging in x = 0. For example, in the linear function: f(x) = 2x + 3, our y intercept would be (0,3) because we just set our x value equal to 0.

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