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2 years ago

HELP ME PLEASE GIVE RIGHT ANSWER WILL GIVE BRAINLIEST

Mathematics

1 answer:

nata0808 [166]2 years ago

6 0

Answer:

a. The point of the vertex is (h, k)

b. The equation of the line of symmetry is x=h

c. You can tell if the parabola goes up and down by checking if a is positive or negative: if it is positive then it goes up, and it goes down otherwise.

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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r

san4es73 [151]

The volume of the balloon is $2352\pi cc/min$

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula $V=\frac{4}{3} \pi r^3$

The rate of change of r with respect to time t is given by,

$\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$

Now, we shall determine the $\frac{d}{d t}(V)$

$\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}$

Now, we shall determine the $\frac{d}{d t}(V)$ at $r=14 \mathrm{cm}$ and substituting $\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$ , we get,

$\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}$

Thus, The volume of the balloon is $2352\pi cc/min$

7 0

2 years ago

M angle JKL=<br> Help me please! Asap thanks so much :)

Lunna [17]

The measure of the angle <JKL is 56 degrees

<h3>Tangent secant theorem of a circle</h3>

The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given the following parameters

m<IL = 112 degrees

Since the measure of the vertex is half the measure of its intercepted arc, hence;

<JKl = 1/2(m<IL)

Substitute the given parameters into the formula to have;

<JKl = 1/2(112)

<JKL = 56 degrees

Hence the measure of the angle <JKL is 56 degrees

Learn more on Tangent secant theorem here: brainly.com/question/26826991

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6 months ago

Could somebody solve a and c for me? Please help!

WARRIOR [948]

Answer:

a:75

c:11

Step-by-step explanation:

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2 years ago

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In a file of 10 records with 2 errors, 5 are examined. Let the random variable be the number of errors.

emmasim [6.3K]

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2 years ago

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Mekhanik [1.2K]

The ans is C because ..
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3 years ago

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