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uranmaximum [27]
3 years ago
10

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=41°, and VW = 5.1 feet. Find the length of UV to the nearest tenth of a foot.

Mathematics
1 answer:
Reil [10]3 years ago
7 0

Answer:

7.8

Step-by-step explanation:

becuase

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Given: △ABC, m∠A=60°
Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08

\Rightarrow \dfrac{AC}{0.96}  = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

<em></em>

Area of a triangle is given as:

\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)

\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}

8 0
3 years ago
If a set of data has mean 60 and variance 9 then it's coefficient of variation is
loris [4]
Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.
4 0
4 years ago
Read 2 more answers
Helpppppp!
Dovator [93]

Answe The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.

The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.

The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.

are your answer options I went with..  The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.

Step-by-step explanation:

5 0
2 years ago
Find the domain of the function (13/x-11)
kotykmax [81]
The domain of 13/x - 11 is all real numbers except x cannot equal zero
8 0
3 years ago
yearly 17% rate of failure. Answer the following question.What is the probability that if you buy four computers, at least 1 wil
almond37 [142]
68%. There is a 17% faliure rate for a computer, so if you buy 4 computers...
17 x 4 = 68%

Correct me if Im wrong!
5 0
3 years ago
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