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Vesna [10]
3 years ago
14

Solve The Triangle (See Picture!!)

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

Step-by-step explanation:

use sin formula

\frac{a}{sin \alpha } =\frac{b}{sin \beta } =\frac{c}{sin \gamma} \\\frac{10}{sin~40} =\frac{12}{sin ~\beta } \\sin~\beta =\frac{12}{10} \times sin~40\\ \beta=sin^{-1}(1.2 sin ~40)\approx 50.5 ^\circ\\\gamma=180-(40+50.5)=89.5^\circ\\\frac{c}{sin~89.5}=\frac{10}{sin~40}  \\c=\frac{sin~89.5}{sin ~40} \times 10 \approx 15.6\\D

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The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
What is the interquartile range of the data set below? Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72 (1) 22  
sdas [7]
<span>68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

Median = 90
Lower Median = 73
Upper Median = 101

IQR = 101 - 73
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8 0
3 years ago
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Furkat [3]

Answer:

Step-by-step explanation:

This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.

The formula for permutation is given as

nPk = n!÷(n-k)!

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Solution to the question

15P8 = 15!÷(15-8)!

= 15!÷7!

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olchik [2.2K]

Answer:

0.01470588235

Step-by-step explanation:

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