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Simora [160]
2 years ago
8

If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?

Mathematics
1 answer:
Kruka [31]2 years ago
5 0

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is  15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

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4 to the power of 55
LenaWriter [7]

\\ \sf\longmapsto 4^{55}

\\ \sf\longmapsto (4^5)^{11}

\\ \sf\longmapsto 1024^{11}

\\ \sf\longmapsto 1024^31024^41024^3

\\ \sf\longmapsto 1,073,741,824\times 1,073,741,824\times 1,099,511,627,776

\\ \sf\longmapsto 1.29807421E+33

6 0
2 years ago
Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd
Slav-nsk [51]

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can  use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

7 0
3 years ago
Work out the volume of this hemisphere give your answer to 1 decimal place
Serggg [28]

Answer:

volume of hemisphere=2/3×pi×r³

volume of hemisphere=2/3×22/7×8³

volume of hemisphere = 1072.76cm³

3 0
3 years ago
Tutorial D
zalisa [80]
The point is anywhere below 0 on the Y axis
6 0
1 year ago
Find MN to the nearest tenth?<br><br> A. 11.34<br> B. 16.1<br> C. 39.6<br> D. 23.8
Nana76 [90]

As the question say this problem is a practice of the law of cosines!

The law of cosine: c^2=a^2+b^2-2ab*cos*c for any side a, b and c

The law can also be written as c=sqrt(a^2+b^2-2abcosc)

Now use this formula!(note cos 100 degrees is about 0.8623)

c=sqrt(15^2+16^2-2*15*16*cos100)

solving this we can MN is about 23.75

Round this to the nearest tenths now!

We get 23.8!

Thus the answer is D

5 0
3 years ago
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