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Novosadov [1.4K]
3 years ago
9

Solve for a side in right triangles

Mathematics
1 answer:
elena55 [62]3 years ago
5 0

Answer:

4.50 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 40 = ? / 7

Multiply each side by 7

7 sin 40 = ?

4.499513268 = ?

To the nearest hundredth

4.50 = ?

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In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo
AlladinOne [14]

Answer:

52degrees

Step-by-step explanation:

Let the measure of the largest angle be x

middle angle be y

smallest angle be z

Since the sum of angle in a triangle is 180 degrees, hence;

x + y + z = 180 .... 1

If the measure of the largest angle is 32 less than 3 times the smallest angle, then;

x = 3z - 32

3z = x+ 32

z = x+32/3 ..... 2

If he measure of the middle angle is 8 more than half the measure of the largest angle, then;

y = x/2 + 8 .... 3

Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

multiply through by 6

6x + 3x + 48 + 2(x+32) = 1080

9x + 48 + 2x + 64 = 1080

11x + 112 = 1080

11x = 1080-112

11x = 968

x = 968/11

x = 88 degrees

Get the middle angle y;

Since y = x/2 + 8

y = 88/2 + 8

y = 44 + 8

y = 52 degrees

Hence the measure of the middle angle is 52degrees

5 0
3 years ago
Gloria earned $26 for babysitting for 4 hours. Write and Solve an equation to determine how much Gloria would earn after babysit
posledela

Answer:

Equation: ($26÷4 hours) × 25 hours

Answer: $156.25

Step-by-step explanation:

First, you would have to find out how much she earns per hour, so $26÷4. Then you multiply that by 25.

(26÷4) x 25=$156.25.

(hope this helps :P)

3 0
3 years ago
It takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages
dusya [7]

Answer:

70

Step-by-step explanation:

5 0
3 years ago
What Is the sum of the measures in degrees of the interior angles of a 30-gon
Mazyrski [523]
The answer is 5040 degrees.
7 0
3 years ago
-3|5x-6|+24&gt;=15<br> there is 2 solutions plz help me asap i need it in less than 2 hours
kodGreya [7K]

Answer:

5X+27=15

5x=12

x=5/12

I believe

4 0
3 years ago
Read 2 more answers
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