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QveST [7]
2 years ago
10

Solve this problem ​

Mathematics
1 answer:
Gemiola [76]2 years ago
8 0

Answer:

a+b=3

and

a–b=3

I Think it help you

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PLEASE HELP!!!!!!!!!!! Yelena has a toy in the shape of a cube. Each side of the cube measures 7 cm. What is the volume of the t
Naily [24]

Answer:

7³ = 343

Step-by-step explanation:

a cube is equilateral

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2 years ago
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Paul is thinking of a number.
Ierofanga [76]
The answer is 3 and 9.
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2 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
What is the measure of the angle ?
Roman55 [17]

Answer:

Answer → C) 121°

Step-by-step explanation:

» Let the wanted angle be x

{ \tt{x = 121 \degree}} \\  { \tt{ \{alternate \: angles \}}}

4 0
2 years ago
What is the solution to this systems of liner equations y-x=6 y+x=-10
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The solution is the point where the two lines intersect (are equal) so y=y and we can say:

6-x=-10-x  upon adding x to both sides:

6=-10

This is never true so there is no solution to this system of equations.  And for this to be true the two lines must be parallel and have different y-intercepts...
3 0
3 years ago
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