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Elza [17]
3 years ago
6

Find the height a 17-foot ladder can reach on the side of a building when it

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

B. 15.4 ft

Step-by-step explanation:

this answer, without any formulas used, can be answered correctly and logically.

answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.

now we have to find which is correct between a and b

the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.

mathematically,

sin65° = x/17

17 × sin65° = x

where x is height of the side of the building.

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The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?
siniylev [52]

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume  = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

7 0
3 years ago
HELP BEFO 7 PLEASE...
Kay [80]
160ft3

Hope this helps

6 0
2 years ago
The yearly sales of candles decreased from 560 to 476. By what percentage did the candle sales decrease?
Korvikt [17]

The candle sales decreases to - 15 percentage.

<u>Step-by-step explanation:</u>

(476 - 560) : 560 x 100

= (476 : 560 - 1)100

= 85 - 100 = - 15

Therefore, - 15% did the candle sales decrease.

4 0
2 years ago
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Rufina [12.5K]

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6 0
3 years ago
What are the solutions for x when y is equal to 0 in the following quadratic
lawyer [7]

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

y=x^2+10x-24

When y=0, we obtain:

x^2+10x-24=0

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

x^2-2x+12x-24=0

We factor by grouping to obtain:

x(x-2)+12(x-2)=0

(x-2)(x+12)=0

Either (x-2)=0 or (x+12)=0

Either x=2 or x=-12

7 0
3 years ago
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