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2 years ago

Find the diameter and the circumference of the circle below r=8cm

Mathematics

1 answer:

JulijaS [17]2 years ago

7 0

Answer:

Diameter = 16 cm

Circumference = 16π cm

Step-by-step explanation:

History behind Diameter and radius

Diameter is the distance between one edge of the circle to the opposite edge where it cuts through the center of mass. Radius is half the diameter spanning the center to the edge.

This being said your diameter is twice your radius.

The circumference is πd, which is the same as 2πr, because multiplication dont care which order.

So your radius is 8 cm that means your diameter is 8 x 2 which is 16 cm.

Now to make it quick we can multiply that by pi to get our circumference.

16π ≅ 16(3.141) ≅ 50.256 cm

Hope this helps,

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The weight of an apple is 150g, rounded to the nearest 5g. what is the lower bound and upper bound?

Aneli [31]

The lower bound is 147.5 and the upper bound is 152.5.

Given the weight of an apple 150 g rounded to the nearest 5g.

We have to find lower bound and upper bound.

Lower bound is an element less than or equal to all the elements in a given set.

Upper bound is an element greater than all the elements in a given set.

Lower bound= Number 1- (Number nearest to which number 1 is rounded)/2

Upper bound=Number 1+(number nearest to which number 1 is rounded)/2

Weight of an apple =150 g

Lower bound=150-5/2

=150-2.5

=147.5

Upper bound=150+5/2

=150+2.5

=152.5

Hence the lower bound is 147.5 and upper bound is 152.5.

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2 years ago

I can ride my bike 72 miles in 12 hours. What is my

IrinaVladis [17]

Answer: 108 miles

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

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Which equation should you use to solve for x?

oee [108]

Answer:

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Step-by-step explanation:

All angles in a triangle must add up to 180°.

Step 1: Set up equation

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vlada-n [284]

Step-by-step explanation:

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hope this answer helps you dear...and may u have a great day ahead!

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