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4 years ago

What is the radius and diameter of the following circle?

Mathematics

1 answer:

alexandr1967 [171]4 years ago

7 0

Diameter= 18cm

Radius is half of diameter

Radius=9cm

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I need help with this please

Hoochie [10]

Answer:

B. 15

Step-by-step explanation:

6 x 5 = 30

1/2 or 30 is 15

6 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

<u>Final answer:</u>-

<u>The equation of ellipse centered at the origin</u>

8 0

3 years ago

Read 2 more answers

· Expand and simplify (x - 2)(x + 7)

lisov135 [29]

Answer:

Expand:

x^2+7x-2x-14

Answer:

x^2+5x-14

Step-by-step explanation:

3 0

3 years ago

Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded

Stella [2.4K]

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

To learn more about the compounded continuously visit:

brainly.com/question/16731646.

#SPJ1

7 0

2 years ago

Find the percent of increase to the nearest whole from 12 to 20

ankoles [38]

Answer:

The answer is

Step-by-step explanation:

To find the percentage increase we use the formula

<h3> $Percentage \: change = \frac{change}{original \: \: quantity} \times 100\%$ </h3>

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

<h3> $\frac{8}{12} \times 100 \%\\ = \frac{2}{3} \times 100\% \\ = 66.67\%$ </h3>

We have the final answer as

$67\%$ to the nearest whole number

Hope this helps you

3 0

3 years ago