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vredina [299]
3 years ago
6

A 19 -ft ladder leans against a building so that the angle between the ground and the ladder is 81 ∘. How high does the ladder r

each on the building? ft
Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

18.77 ft

Step-by-step explanation:

use SOHCAHTOA

The ladder is a side, which is opposite to the angle. The ladder's side is also the hypotenuse of the triangle, so use sin.

sin(81) * 19 = 18.77 ft

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20 points and crown determine the product of each set of polynomials (2x-3)(4x+5)=0
bonufazy [111]
Remember to make the polynomials to equal zero, one or the other polynomial must equal zero. So...

2x-3 = 0

2x= 3

x=3/2

and

4x+5 = 0

4x = -5

x = -5/4

So the answers are x=3/2 and x = -5/4

Hope this helps!
4 0
4 years ago
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Angles that measure 135 degrees and 45 degrees are complementary,<br> True or false?
forsale [732]

Answer:

FAlse

complementary angles measures 90

as 45 + 135 = 180 these are supplementary angles

Step-by-step explanation:

6 0
4 years ago
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The radius of the large sphere is double the radius of the small sphere.
Vlad [161]

Answer:

8

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Remember that all the spheres are similar

Let

z ----> the scale factor

V_1 ---> the volume of the large sphere

V_2 ---> the volume of the small sphere

z^3=\frac{V_1}{V_2}

<em>Find the scale factor</em>

we know that

The radius of the large sphere is double the radius of the small sphere

so

The scale factor is 2

z=2

substitute the value oz z

z^3=\frac{V_1}{V_2}

2^3=\frac{V_1}{V_2}

8=\frac{V_1}{V_2}

V_1=8V_2

The volume of the large sphere is 8 times the volume of the small sphere

8 0
4 years ago
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Help Please.. Can't figure it out
Alex787 [66]

Answer:

The answer is option 3.

Step-by-step explanation:

The area of triangle formula is A = 1/2×base×height. Then substitute the following values into the formula :

area =  \frac{1}{2}  \times base \times height

Let base = 10,

Let height = 12,

area =  \frac{1}{2}  \times 10 \times 12

area  =  \frac{1}{2}  \times 120

area = 60 \:  \:  {m}^{2}

6 0
4 years ago
Anybody willing to answer this question
aksik [14]

Answer:

i think the answer would be C

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4 years ago
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