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insens350 [35]
3 years ago
9

Which equation can be used to find the length of AC?

Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

AC = 10sin40°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = \frac{opposite}{hypotenuse} = \frac{AC}{AB} , then

sin40° = \frac{AC}{10} ( multiply both sides by 10 )

10sin40° = AC

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How many sides does a polygon have if the sum of the measures of the interior angles is 3960
anastassius [24]

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

6 0
3 years ago
X plus 9 divided by 7 equals 3
zavuch27 [327]

Answer- <em>X=12</em>

Step-by-step explanation:

X + 9/7 = 3 is our equation

Then we are going to do the opposite of dividing 7 from 9 which is multiplying  7 from 9. (on both sides)

It will leave us with - X + 9 = 21

Then we will do the opposite of adding 9 to X which is subtracting 9 from X. (also on both sides) ( whenever you do any adding or subtracting or multiplying or dividing on one side you have to do it on the other for the equation to be true)

Now it will leave us with X = 12

And that's our answer! :>

7 0
3 years ago
If f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Illusion [34]

Answer:

18x-3

Step-by-step explanation:

f(x)= 3x + 10x

g(x)=5x - 3

f(x)+g(x) = 3x + 10x + 5x - 3

Combine like terms

             = 18x -3

6 0
3 years ago
Need help please don't know this
vesna_86 [32]
Perimeter = 2w + 2l
2(8x+2) + 2(6x + 6)
Use distributive property
16x + 4 + 12x + 12
Combine like terms
28x + 16

Solution: 28x + 16
3 0
3 years ago
Read 2 more answers
On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski
____ [38]
10 different groups can ski.

This is a combination of 5 items taken 3 at a time:
_5C_3=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{120}{12}=10
3 0
3 years ago
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