Which of the following expressions has a value of 2/5 in the picture below?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

5 0

Step-by-step explanation:

Step 1: List out all of the formulas for the trigonometric functions

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

Step 2: Find the following expression that has a value of 2/5

sin(B) = opposite/hypotenuse = ?/5 is FALSE

cos(B) = adjacent/hypotenuse = 2/5 is TRUE

tan(B) = opposite/adjacent = ?/2 is FALSE

Answer: The correction expression that has a value of 2/5 is option B

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The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.

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Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is $\frac{1}{3} \pi r^2 h$ , or in this case $\frac{112}{3}\pi$ cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!