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3 years ago

Describe the change int he radius of a circle when the area is multiplied by 1/4.

1 answer:

4 0

I think the correct answer is C. Since a=πr², in order to get the area to become 1/4 of what it was previously, the radius needs to be cut in half to make the divide that side by 4. a=π(r/2)²=πr²/4 and will therefore multiply the area by 1/4.

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What is the value of x? inscribed angles

Flura [38]

The value of x is 84°.

Solution:

Measure of intercepted arc = 168°

Measure of angle x = ?

Tangent-chord relationship:

If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.

$$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ$

$$\Rightarrow \angle x = 84^\circ$

The value of x is 84°.

8 0

3 years ago

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5

LenKa [72]

Answer:

y = $\frac{6x}{5}$ - 8

Step-by-step explanation:

given slope m = $\frac{6}{5}$

point (5, -2) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-2) = $\frac{6}{5}$ (x -5)

y + 2 = $\frac{6}{5}$ x - 6, simplify

y = $\frac{6x}{5}$ - 8,

further you can multiply by 5 to get rid of fraction

5y = 6x - 40

5 0

3 years ago

Make r the subject of the formula v = \pi \: h {}^{2}(r - \frac{h}{3})v=πh2(r−3h)

mel-nik [20]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

7 0

3 years ago

If the absolute value of a number is added to the original number will the sum always equal 0

lbvjy [14]

Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.

8 0

3 years ago

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth): f(2) =

mojhsa [17]

$f(x) = 2(x)^{2} +5 \sqrt{x+2}$