Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
10y mm
Step-by-step explanation:
We would need to know the conversion of cm to mm.
We know
1 cm = 10 mm
If we are given a certain amount of centimeters (cm), to get the answer in millimeters (mm), we multiply that by 10. Example:
1 cm = 10 mm
4 cm would be 4 * 10 = 40 mm
23 cm would be 23 * 10 = 230 mm
Now, we are given "y" centimeters.
So, we multiply by "10" to get the answer in millimeters.
Hence,
y * 10 = 10y millimeters (mm)
The line is 10y mm
Answer:
10 1/2 sticks, or 11 sticks with half a stick left over.
Step-by-step explanation:
If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2
Answer:
dividing by a fraction is multiplying by the reciprocal.
This example swaps the left hand in stead of the right hand.
Step-by-step explanation:
So the correct approach would have been:


Answer:
5/2 = 2 1/2
15/4 = 3 3/4
33 /8 = 4 1/8
Step-by-step explanation:
5/2 2 goes into 5 2 times with 1 left over = 2 1/2
15 /4 4 goes into 15 3 times with 3 left over 3 3/4
33/8 8 goes into 33 4 times with 1 left over 4 1/8