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Anna11 [10]
3 years ago
9

Find the volume of the cylinder. SHOW ALL WORK

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer:

V=πr²h=π·5²·12≈942.4778 = 942.48m³

Step-by-step explanation:

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Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?
Luba_88 [7]

Answer:

The value of x is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that \angle APR = \angle SPL. Given that \angle APR = 13\cdot x -30 and \angle SPL = 3\cdot x + 70, we find that the value of x is:

13\cdot x - 30 = 3\cdot x +70

10\cdot x = 100

x = 10

The value of x is 10.

6 0
3 years ago
Số táo của An, Bình, Chi là như nhau. An cho đi 17 quả , Chi cho đi 19 quả thì lúc này số táo của Chi gấp 5 lần tổng số táo còn
soldier1979 [14.2K]

Answer:

So, the initial number of apples is 7.

Step-by-step explanation:

The number of apples of An, Binh, and Chi are the same. An gave away 17 apples, Chi gave away 19 apples, so now Chi's apples are 5 times higher than the total remaining apples of An and Binh. How many apples did each of you have at first? (Solve the above problem by equation or system of equations)

Let the initial numbers of apples is a.

An gave 17 apples

Chi gave 19 apples

So,

x - 19 = 5 (x - 17 + x)

x - 19 = 5 (2x - 17)

x - 19 = 10 x - 85

9 x = 66

x = 7

6 0
3 years ago
If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
Express 82 kilometers per hour in miles per hour
mezya [45]

Step-by-step explanation:

a)82km into miles

Sol'n

Here,

km=82=82000miles

m=?

Now,

Miles =km×1000

=82×1000

=82000

Therefore,82000m.

6 0
3 years ago
PLEASE HELP I CANT UNDERSTAND I NEED HELP
Vika [28.1K]

Answer:

Count houw many boxes the linegoes over

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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