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Musya8 [376]
3 years ago
11

The angle of elevation to a nearby tree from a point on the ground is measured to be

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

h ≈ 66.4 ft

Step-by-step explanation:

The situation can be modelled by a right triangle with h representing the height of the tree.

Using the tangent ratio in the right triangle

tan39° = \frac{opposite}{adjacent} = \frac{h}{82} ( multiply both sides by 82 )

82 × tan39° = h , then

h ≈ 66.4 ft ( to the nearest tenth )

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The odds against Carl beating his friend in a round of golf are 7:5. Find the probability that carl will beat his friend.
Leya [2.2K]

Answer:

\frac{5}{12}

Step-by-step explanation:

In other words, carl's losing odds are 7 : 5, so his winning odds will be 5 : 7

So if they play (7+5=12) 12 times, carl will win 5 times.

To find probability that carl will beat his friend, we take the probability of Carl winning. Simple!

The probability is  5/ 12

3 0
3 years ago
Factor to the prime factors: 20
Margarita [4]
20 = 2 * 10 = 2 * 2 * 5 = \bf 2^2 * 5
4 0
4 years ago
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Irina-Kira [14]

Answer:

13

Step-by-step explanation:

use Pythagorean

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6 0
4 years ago
Read 2 more answers
Is (0,0) a solution to this system y> x2+x-4 y <x2+2x+1
Aliun [14]

Answer:

Yes, the ordered pair (0,0) is a solution of the system

Step-by-step explanation:

we have

y\geq x^{2}+x-4 ----> inequality A

y < x^{2} +2x+1 ----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

<u>Verify</u>

For x=0,y=0

<em>Inequality A</em>

0\geq (0)^{2}+0-4

0\geq -4 ----> is true

so

The ordered pair satisfy inequality A

<em>Inequality B</em>

0 < (0)^{2} +2(0)+1

0 < 1  ----> is true

so

The ordered pair satisfy inequality B

therefore

The ordered pair (0,0) is a solution of the system

7 0
3 years ago
Read 2 more answers
Instructions: Select the correct answer from each drop-down menu.<br><br> PLEASE HELP ME!!!!
MA_775_DIABLO [31]
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4 years ago
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