Write the standard equation of each circle, please

Mathematics

1 answer:

san4es73 [151]2 years ago

8 0

First one is a circle with center at (0,0) and radius 5. equation is:-

(x - 0)^2 + (y - 0)^2 = 5^2

x^2 + y^2 = 25

2. (x - 4)^2 + (y - 3)^2 = 25

3. (x - 5)^2 + (y - 4)^2 = 9

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If someone could help!

ad-work [718]

Step-by-step explanation:

This time round, use SOH method (Sin angle = Opposite/Hypotenuse)

given Opposite = 7

Hypotenuse = 10

$\sin(x) = \frac{opposite}{hypotenuse} \\ \sin(x) = \frac{7}{10} \\ x = {sin}^{ - 1} ( \frac{7}{10} ) \\ = 44.4deg(nearest \: tenth)$

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2 years ago

Kala drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles

dybincka [34]

Kala will use 13.2 gallons of gas to drive a distance of 286 miles.

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2 years ago

can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c

Morgarella [4.7K]

Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be $3:4$ .

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are $\overline{RS}$ and $\overline{AB}$ .

The ratio of $\overline{RS}:\overline{AB}$ is $18:24\implies \boxed{3:4}$ .

The reason why it ideally should be $3:4$ and not $4:3$ is because the question states $RTSU\sim ABCD$ , which mentions $RSTU$ first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

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2 years ago

Use pi=3.14 to estimate the circumference of the circle to the nearest hundreth the diameter is 11 cm

TiliK225 [7]

The formula of circumference: 兀×diameter

In this case:

3.14×11
=34.54cm

Nearest hundreth = 2 demical places

Therefore, the answer is 34.54cm.

Hope it helps!

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2 years ago

How can I find the volume of a cone 9 radius and 18 height

Anastasy [175]

Answer:

V = 486 $\pi$ , or approx. 1,526.814