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3 years ago

a 10 ft ladder leans against a wall with its foot braced 3ft. from wall's base how far up the wall does the ladder resach

1 answer:

6 0

Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft

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ludmilkaskok [199]

D= 65 degrees.

Because straight line adds up to 180
So 180-115= 65

5 0

2 years ago

Help me figure this out please!!

levacccp [35]

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2 years ago

Let f(x)= x2 - 14 and g(x) = 6-X.<br> Find (fq)(7).

sleet_krkn [62]

Answer:

$(fg)(7) = - 35$

Step-by-step explanation:

The given functions are:

$f(x) = {x}^{2} - 14$

and

$g(x) = 6 - x$

We want to to find

$(fg)(7)$

Note that:

$(fg)(x) = f(x) \times g(x)$

We substitute the functions to obtain:

$(fg)(x) = ( {x}^{2} -1 4 ) \times (6 - x)$

We now substitute x=7, to get:

$(fg)(7) = ( {7}^{2} -1 4 ) \times (6 - 7)$

This implies that

$(fg)(7) =( 49-1 4 ) \times (6 - 7)$

$(fg)(7) = 35 \times - 1 = - 35$

8 0

3 years ago

the ratios swans to ducks in a pond is 7 to 6 if there are 39 swans and Ducks all together then how many ducks are there?

frosja888 [35]

Answer:

18 ducks

Step-by-step explanation:

add the parts of the ratio 7 + 6 = 13

divide the total by 13 to find one part of the ratio

$\frac{39}{13}$ = 3 ← 1 part of the ratio

7 parts = 7 × 3 = 21 ← number of swans

6 parts = 6 × 3 = 18 ← number of ducks

7 0

2 years ago

It takes 15 men working steadily 4 days to dig the foundation for a new apartment. how many days would it have taken 25 men work

andre [41]

By proportion that would be 15/25 * 4 = 2.4 days

3 0

3 years ago