Answer:
6/5, or 1 1/5
Step-by-step explanation:
I use a method called KCF, which means Keep Change Flip. Here is your current expression: 2/5 / 1/3. First, keep the first fraction. Next, change the sign into a multiplication symbol. Now, you have 2/5 x 1/3. Finally, flip the last fraction into 3/1. Now, this is your expression: 2/5 x 3/1. Multiply numerator by numerator, denominator by denominator. Your final answer is 6/5, or 1 1/5 simplified.
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
124 Oz is the same as 7.75 pounds
Answer:
4.7 yd
Step-by-step explanation:
The horizontal lines in the diagram are parallel, so the angle of depression at D and the angle of elevation at F are congruent. So, you have a right triangle with the measure of one acute angle (F) and the length of the adjacent side (EF = 10 yd). You are being asked to find the opposite side (DE).
The mnemonic SOH CAH TOA reminds you of the necessary relation:
Tan = Opposite/Adjacent
Filling in the given information, you have ...
tan(25°) = DE/(10 yd)
Multiplying by 10 yd gives ...
(10 yd)tan(25°) = DE ≈ 4.663 yd ≈ 4.7 yd
