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vaieri [72.5K]
3 years ago
13

What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

\frac{4}{16}=\frac{x}{14}

Now, we can cross multiply and solve for x:

\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5

Hence,

the unknown side marked "?" is equal to 3.5 inches

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REY [17]

Answer:

The area of the circle with a 3-inch diameter is 7.07 square inches.

Step-by-step explanation:

The formula for the area of a circle is

A = πr²

If you are given diameter, take half of that to get the radius:  3 ÷ 2 = 1.5

Then take the radius, 1.5 and square it  (multiply by itself)  1.5 × 1.5 = 2.25

Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)

2.25 × 3.14 = 7.065

Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."

You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.

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