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3 years ago

What would be the dimensions of the poster at fraction 1 over 4 times its current size?

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

The answer is Length = 6cm, width = 9cm.
This is because to find 1/4 multiplied by the dimensions, you need to divide by 4. 36 ÷ 4 = 9, and 24 ÷ 4 = 6. I hope this helps!

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4 years ago

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3 years ago

A circle with center C(4, -2) passes through the point A(1, 3). Does the point B(8, -2) lie inside the circle?

Setler79 [48]

Answer:

Yes, point B will lie inside the circle.

Step-by-step explanation:

Let the distance between point C and point A be the radius of our given circle.

We have been given that a circle with center C(4, -2) passes through the point A(1, 3).

Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.

Let us find distance between points C and A using distance formula.

$\text{Radius}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

$\text{Radius}=\sqrt{(4-1)^{2}+(-2-3)^{2}}$

$\text{Radius}=\sqrt{(3)^{2}+(-5)^{2}}$

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$\text{Radius}=\sqrt{34}$

Radius of our circle is $\sqrt{34}$ . Now let us find distance between center of our circle and point B.

$\text{Distance between C and B}=\sqrt{(4-8)^{2}+(-2--2)^{2}}$

$\text{Distance between C and B}=\sqrt{(-4)^{2}+(-2+2)^{2}}$

$\text{Distance between C and B}=\sqrt{16+(0)^{2}}$

$\text{Distance between C and B}=\sqrt{16}$

$\text{Distance between C and B}=4$

We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.

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3 years ago

Read 2 more answers

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sertanlavr [38]

Answer:

GCF is 8

16 + 56

= 8(2 + 7)

Step-by-step explanation:

Here, we want to write the greatest common factor of 16 and 56

The greatest common factor is 8

We can use tie rewrite the sum as follows ;

16 + 56 = 8(2 + 7)

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Answer:

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