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Anastaziya [24]
3 years ago
15

A pyramid has a square base that is 9 inches on a side.If the height of the pyramid is 8 inches, then its volume is 24 cubic inc

hes.
Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

The statement is false

The volume of the square pyramid is V=216\ in^{3}

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}b^{2}h

we have

b=9\ in

h=8\ in

substitute

V=\frac{1}{3}(9)^{2}(8)

V=216\ in^{3}

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A cable hangs between two poles of equal height and 3737 feet apart.
geniusboy [140]

Answer:

15450.4 pounds

Step-by-step explanation:

Given the distance between the poles is D = 3737 feet, and

f(x) = 10 + 0.1x^3/2

= 10 + 1/10 x^3/2

We need to find the arc length of the cable and this is given by:

L = integral of √(1 + [f'(x)]²) dx, between D=0 and D/2

Where f'(x) = d(f(x))/DX

f'(x) = 3/2 × 1/10x^1/2 = 3/20 √x

Hence, L = integral of (√(1 + [3/20√x]²))dx, between D=0 and D/2

L = integral(√(1 + (9/400)x))dx; D=0 and D/2

L = integral(√(1 +9x/400))dx; D=0 and D/2

Let u= 1+ (9x/400) ; du/dx = 9/400

dx = (400/9)du

L= integral (√u) × +(400/9)du; btw D=0 and D/2

L = (400/9) × integral (√u)du

L= (400/9) × (u^3/2)÷(3/2)

L = (800/27)[u^3/2]

Now we replace 1 + (9x/400)

and evaluate between D=0 and D/2 = 1868.5 ft

L= (800/27)[(1 + (9× 1868.5/400)-(1 + 0)]

L=( 800/27) × (9× 1868.5/400)

L = (800 27) × 42.04

L=1246 feet (approximately)

The weight = 12.4 × 1246

Weight = 15450.4 pounds

6 0
3 years ago
Find the ULE in the triangle below
aivan3 [116]

Where is the triangle?

7 0
3 years ago
What should larmont do to write a correct point slope equation for this line? <br> (-8,5) and (-5,7)
Ronch [10]

ANSWER

Therefore the correct answer is B




<u>EXPLANATION</u>

The equation in the point slope form of a straight line is given by the formula;

y-y_1=m(x-x_1), where m is the slope and the point (x_1,y_1) is any point on the line.


Since two points on the line are given, Lamont must find the slope using the points (-8,5) and (-5,7) as follows;

m=\frac{7-5}{-5--8} =\frac{7-5}{-5+8} =\frac{2}{3}.


He can now choose one of the points as (x_1,y_1).

If he uses  (-8,5), the he obtains,


y-5=\frac{2}{3}(x--8)

Which gives y-5=\frac{2}{3}(x+8) as the equation of the line.


Therefore the correct answer is B





8 0
3 years ago
SOLVE FOR X! SOMEONE PLEASE HELP ME!!!
Tasya [4]

Answer:

x+5= x+5 7.5=7.5 and 2x-5= 2x-5

5 0
3 years ago
What’s the root of this function?
vovangra [49]

Answer:

-2, 3

Step-by-step explanation:

I think you have it correct, it's always when x=o

8 0
2 years ago
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