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3 years ago

Angle ABC is shown . Determine sin B. Write your answer in fraction form. Help ASAP

Mathematics

1 answer:

Mkey [24]3 years ago

7 0

Answer:

sin b would be 4/5

Step-by-step explanation:

sine is the opposite leg/the hypotenuse

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I need some help and can you please show your work? Thank you have a good day

SVEN [57.7K]

$1.75

If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.

7/4 = $1.75

Now if you buy 4 lemons that cost $1.75, your total will add up to $7

3 0

3 years ago

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

$V = \frac{1}{3}\pi r^{2}h$

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

$V = \frac{1}{3}\pi r^{2}h$

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

Need help plzzzz will medal and fan

andriy [413]

The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

Let's check all functions.
1. The function f(x)=x²+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.

2. f(x)=x²-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.

3. f(x)=x²+2x when evaluated with -3 gives you the value of 3
 Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.

4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.

6 0

4 years ago

Read 2 more answers

Someone help me please?! Math problem!!!

Gala2k [10]

Answer:

y = 4/5x - 9/5

Step-by-step explanation:

4x - 5y = 9 to solve for y you get it by itself.

-4x -4x minus 4x from both sides

-5y = - 4x + 9

/-5 /-5 Divide both sides by 5

y = 4/5x - 9/5 because -4/-5 is 4/5 and 9/-5 is - 9/5

5 0

3 years ago

What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural

Aleksandr [31]

Answer:

1/3 is a rational number

Step-by-step explanation:

4 0

3 years ago