Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
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So:
6 × 3 × 2 = 36
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Have a good day :)
Answer:
2x as much
Step-by-step explanation:
First write as an equation:
<u>3000/32*3.75 =</u>
3000/16*3.75
Then that equals:
0.5
So that means her mom's car would be half as efficent as the new one
Fun
n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters
We know this angle is a 90° or a right angle. So another words we know adding these 2 expressions equals to 90°.
(4x + 3) + (x - 8) = 90°
Remove the parentheses and combine the like-terms:
5x - 5 = 90°
Add 5 on both sides:
5x = 95°
Divide 5 on both sides
x = 19
You answer is x = 19.
