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Dovator [93]
3 years ago
15

Find the volume of the cylinder with a diameter of 12 inches and a height of 10

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

360 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 12 so the radius is 1/2  the diameter

r = d/2 = 12/2 = 6

V = pi (6)^2 * 10

V = pi (36)*10

V = 360 pi in ^3

We can approximate pi by 3.14

V =1130.4 in ^3

Or we can approximate pi by using the pi button

V =1130.973355  in ^3

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V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
ki77a [65]

Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

v^2-15=-2v

We have to find  two solutions of quadratic equation.

v^2+2v-15=0

Using addition property of equality

v^2+5v-3v-15=0   (By using factorization method)

v(v+5)-3(v+5)=0

(v+5)(v-3)=0

Substitute each factor equal to 0

v+5=0 and v-3=0

v=-5 and v=3

Hence, two solutions of quadratic equation are

v=-5 and v=3

8 0
3 years ago
What is the 40th term of the sequence below? 14 9 4 -1
pshichka [43]
D = T2 - T1
d = 9 - 14
d = - 5

T40 = 14 + 39(-5)
= 14 - 195
= - 181
3 0
3 years ago
Pls help me so I can pass my math if I don’t pass I’ll get left back
Sonbull [250]
B i hope this helped and I hope you pass
4 0
3 years ago
Read 2 more answers
Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
choli [55]

Given:

The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

To find:

The perimeter of quadrilateral ABCD.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(4-0)^2+(1-4)^2}

AB=\sqrt{(4)^2+(-3)^2}

AB=\sqrt{16+9}

AB=\sqrt{25}

AB=5

Similarly,

BC=\sqrt{(1-4)^2+(-3-1)^2}

BC=5

CD=\sqrt{(-3-1)^2+(0-(-3))^2}

CD=5

And,

AD=\sqrt{(-3-0)^2+(0-4)^2}

AD=5

Now, the perimeter of the quadrilateral ABCD is:

P=AB+BC+CD+AD

P=5+5+5+5

P=20

Therefore, the perimeter of the quadrilateral ABCD is 20 units.

6 0
3 years ago
Solve the equation by factoring. X^2 + 3x – 4 = 0
Nutka1998 [239]

Original equation: x^2 + 3x - 4 = 0

How I solve by factoring is to take term a and c (as in if you were using the quadratic equation), then multiply them together. We want to find two numbers that multiply to equal the product of a x c, but add up to term b.

Term A: x^2 (1)

Term B: -4

1 x -4 = -4

Factors that have a product of -4 and add up to 3: 4, -1

Factored equation: (x + 4)(x - 1) = 0

Set each factored section equal to 0 and solve for x.

x + 4 = 0

x = -4

x  - 1 = 0

x = 1

The correct answer is D. x  = 1, -4

Hope this helps!! :)

8 0
3 years ago
Read 2 more answers
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