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Alchen [17]
2 years ago
12

A 15ft. wire is tied to the top of a tree to provide support. If the wire forms a 25° angle with the ground, what is the height

of the tree to the nearest hundredth?
Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer: 6.34\ ft

Step-by-step explanation:

Given

The length of the wire is l=15\ ft

The Wire makes an angle of 25^{\circ} with horizontal

Suppose the height of the tree is h

From the figure, we can write

\Rightarrow \sin 25^{\circ}=\dfrac{h}{l}\\\\\Rightarrow h=l\sin 25^{\circ}\\\Rightarrow h=15\sin 25^{\circ}\\\Rightarrow h=6.34\ ft

Thus, the height of the tree is 6.34\ ft

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2 years ago
One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4
Ganezh [65]

Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

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So out of the 52 possible outcomes, 48 are desired. Set up the fraction and

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7 0
3 years ago
Use the quadratic formula to solve for x 8x^2+7x+1=0 plz help
vagabundo [1.1K]

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X= -7 ± √17 / 16

x= - 0.7798...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 286 over 465 in simplest form?
Sholpan [36]
\frac{286}{465
}
7 0
3 years ago
Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t
sesenic [268]
Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.

We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.

As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6

It’s asking for the ratio of Him:Wife:Son, so 36:30:6.

BUT, it’s asking for simplest form, so divide each of those numbers by 6.

Your answer is: 6:5:1
8 0
3 years ago
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