Can some find the the answer than explain it Thank you
1 answer:
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Answer:
We can write proportion as:
Step-by-step explanation:
A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cyclist rides in 4 hours
Proportion:
A proportion is used when two ratios are equal. It can be written as a/b=c/d
In our case we have:
a= 30 miles
b = 1.5 hours
c = x miles
d = 4 hours
We can write proportion as:
Step-by-step explanation:
<u>Step 1: Answer the first question</u>
Area of a triangle →
Total Area →
Answer: Option D,
<u>Step 2: Answer the second question</u>
We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B
Answer: Option B,
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 =
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1
Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given:
Divide by 2:
Square root:
Scratchwork:
Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE
LHS = RHS
