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Licemer1 [7]
2 years ago
8

A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the

Barn Does The Ladder Reach???
Mathematics
1 answer:
vlada-n [284]2 years ago
5 0

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

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Suppose that 10 sophomores, 3 juniors, and 10 seniors are candidates for a prestigious mathematics award of which three will be
faltersainse [42]

Answer:

1771 possible ways

Step-by-step explanation:

In this case, we need to know first how many candidates are in total:

10 + 3 + 10 = 23 candidates in total.

Now, we need to choose 3 of them to receive an award. In this case, we have several scenarios, but as it's an award we can also assume that the order in which the candidates are chosen do not matter, so, the formula to use is the following:

C = m! / n! (m - n)!

Where m is the total candidates and n, is the number of candidates to be chosen. Replacing this data we have:

C = 23! / 3! (23 - 3)!

C = 2.59x10^22 / 6(2.43x10^18)

C = 1771

So we have 1771 ways of choose the candidates.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=40%20-%20%20%7B42%7D%5E%7B3%7D%20%20%3D%20" id="TexFormula1" title="40 - {42}^{3} = " alt="4
m_a_m_a [10]

74048 is the answer i think


3 0
3 years ago
Solve the system: x + 2 = y ,x2 − 10 = y
kondaur [170]

Answer:

If you wanted the intersecting points there is only one and It's (12, 14)

Hope that could help.

6 0
3 years ago
Caden removed the label of a soup can like the one shown. What is the approximate area of the label if the can is 4 inches high
Dominik [7]

EXPLANATION

If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

\text{Area}_{\text{label}}=2\pi rh

Replacing terms:

\text{Area}_{\text{label}}=2\pi\cdot1.5\cdot4=12\pi=37.7in^2

The approximate area is 37.7 in^2

5 0
1 year ago
When asked to find the value of x for
Korolek [52]

Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

7 0
2 years ago
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