Answers:
Wood Question: 860 millimeters
Heigh Question: 73 centimeters
Explanations:
Wood Question: You can get this result by doing 7.74/9 because you are dividing 7.74 meters into 9 pieces and you will get 0.86, AKA 86 centimeters. Then, you need to multiply that by 10 to convert it into millimeters and 86(10) is 860.
Height Question: First, you want to do 1.46/2 and you will get 0.73. 0.73 meters is equivalent to 73 centimeters, and since you know Jaxson is two times his sister's height, you know that you can leave it at that, therefore your final answer is 73 centimeters.
Answer:

Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

Therefore, the value of x is 11.
You can double-check using the sine ratio:

Insert the values:

Insert the equation into a calculator:

:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Answer:
9 hours
Step-by-step explanation:
"At the same rate" means time and wages are proportional.
time/wages = t/$108 = (13 h)/$156
t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel
t = 9 h
Chang would have to work 9 hours to make $108.
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft
Answer:
x = 1/3
Step-by-step explanation:
-4(3x − 2) = 6x + 2
Distribute
-12x +8 = 6x +2
Add 12x to each side
12x-12x+8 = 6x+2+12x
8 = 18x+2
Subtract 2 from each side
8-2 = 18x+2-2
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 =x