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2 years ago

Find tan A for the triangle below. a 1.5 b. 0.667 C. 0.832 d. 1.202

Mathematics

1 answer:

Kaylis [27]2 years ago

3 0

Answer:

Step-by-step explanation:

on edge

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If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 9 cm2/min

This means that $\frac{dS}{dt} = -9$

At which the diameter decreases when the diameter is 10 cm?

This is $\frac{dd}{dt}$ when $d = 10$ . So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

$-9 = 2(10)\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

8 0

2 years ago

If A=Jame’s present age , write an expression for his age seven years from now

yan [13]

the answer for your question is, A+7

3 0

3 years ago

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Which equation is the inverse of y = 7x2 – 10?

Andreyy89

Answer:

y=4

Step-by-step explanation:

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2 years ago

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Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest

Amiraneli [1.4K]

Interest = principle * rate * time...
I = PRT...we are going to rearrange this because we are looking for the principle...

I / (RT) = P
I = 22.40
R = 2.8%...turn to a decimal = 0.028
T = 1

sub and solve
22.40 / (0.028(1) = P
22.40 / 0.028 = P
800 = P....amount of original deposit is $ 800 <==

3 0

2 years ago

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QUICK! PLEASE HELP! A spinner has three congruent sections labeled 1, 2, and 3. On the first two spins, the arrow stops on 1 and

vova2212 [387]

<span>The third spin is independent, so the probability is B. 1/3.

Hope that helped.

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3 0

3 years ago