1. We assume, that the number 92 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 92, so we can write it down as 100%=92. </span>
<span>4. We know, that x% equals 46 of the output value, so we can write it down as x%=46. </span>
5. Now we have two simple equations:
1) 100%=92
2) x%=46
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=92/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 46 is what percent of 92
100%/x%=92/46
<span>(100/x)*x=(92/46)*x - </span>we multiply both sides of the equation by x
<span>100=2*x - </span>we divide both sides of the equation by (2) to get x
<span>100/2=x </span>
<span>50=x </span>
x=50
<span>now we have: </span>
<span>46 is 50% of 92
I hope this helps!
</span>
Answer:
495 in
Step-by-step explanation:
The formula for the volume of a triangular prism is V = 
· w · h · l, where w represents with, l represents length, and h represents height. Using this and plugging in the values, we can solve.
V = · 5 · 11 · 18
V = 2.5 · 11 · 18
V = 27.5 · 18
V = 495
hope this helps :)
Equation is 2(3x+24)=9x+18
Answer is x=10
Bisector means it cuts it in half so ABD is the same as DBC. The whole angle is 9x+18 which is the same as doubling 3x+24 since thats half of if hence the equation 2(3x+24)=9x+18
To solve for x you have to distribute 2(3x+24) by multiplying 2 to 3x and 24
New equation is 6x+48=9x+18
Subtract 6x both sides
48=3x+18
Subtract 18 both sides
30=3x
Divide both sides by 3
10=x
15 and 21. From 1 to 3 is plus 2 and from 3 to 6 is plus 3 and from 6 to 10 is plus 4 and so on
Answer:
c ≈ 40
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = 
= 
= 
( multiply both sides by c )
c × sin40° = 26 ( divide both sides by sin40° )
c = 
≈ 40 ( to the nearest whole number )
