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Evaluate 4/49 × 7/13 give your answer as a fractions in its simplest form

Anastasy [175]

4 x 7 = 28
49 x 13 = 637
28/637
=4/91

7 0

2 years ago

What is the area of this figure? Round to the tenth if necessary.

Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

$a=\pi r^2/2$

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

$a=lw$

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

$32/2=16$

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

$\pi 16^2/2=401.92$

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

$14*32=448.$

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

$401.92+448$

$=849.92$

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0

3 years ago

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-a

Volgvan

Take a look at the possible answers and see if any make sense.
Yes, it is a proportional relationship because the graph goes through the origin* Sorry, but the line you mentioned DOES NOT go through the origin. So this can't be the answer.
Yes, it is a proportional relationship because the graph is a straight line* The line isn't a straight line. The slope between points (0,2) and (1,6) is 4. The slope between (1,6) and (2,10) is 4. But the slope between (2,10) and (3,12) is 2. So the line isn't straight. So this too is the wrong answer.That right there eliminates half the choices because those choices describe things that are NOT in the graph you've been given. Now you have to think for which of the two remaining choices are correct.
No, it is not a proportional relationship because the graph is not a straight line* This is true. The graph for a proportional relationship is a straight line that passes through the origin. And the points you specified are not for a straight line.
No, it is not a proportional relationship because the graph does not go through the origin* And this too is true. The line doesn't pass through the origin. And as mentioned above, the graph of a proportional relationship is a STRAIGHT line and passes through the origin.
My personal opinion is that you mistyped, or misread something about the problem and because of that, it's currently impossible to determine which of the last 2 options is the correct one. I suspect the last ordered pair should be 3,14 and not the 3,12 you've entered. Reason for that is the slope is OK for points 1 through 3, but the 4th point is an outlier. If that's the error, then the correct answer is the last option.

4 0

3 years ago

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Question 10 of 24

skad [1K]

The answer would be: B

4 0

3 years ago

- 3√45-√ 125 + √200-√150

Murljashka [212]

-29.4102647752 the answer I think

4 0

4 years ago

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