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Aleksandr [31]
2 years ago
10

Find the tangent of angle Θ in the triangle below.

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

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1 1/3 x 5/8 A.3/4 B.4/5 C.5/6 D.5/8​
dmitriy555 [2]

Answer:

c.5/6

Step-by-step explanation:

1 1/3 x 5/8  = 4/3 x  5/8

first multiply both numerator and d enumerator

then we get

20/ 24

divide both numerator and  d enumerator with 4

simplify that

=5/6

5 0
3 years ago
He total variance is $35000 f. the total materials variance is $14000 f. the total labor variance is twice the total overhead va
TiliK225 [7]
Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x

Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
                          + Total labor variance

We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x

Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000

Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000
4 0
3 years ago
What is the square root of 12 plus the square root of 27?
marysya [2.9K]
93 hope that helped u :)
4 0
3 years ago
Read 2 more answers
translate the sentence into an equation. four more than the quotient of a number and 2 equals 7. Use the variable W for the unkn
artcher [175]
2w+4=7
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8 0
3 years ago
A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct
denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

0.37x = 114

x = \frac{114}{0.37}

x = 308.11

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0
3 years ago
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