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3 years ago

Can someone help me find the volume of these?

Mathematics

1 answer:

snow_lady [41]3 years ago

8 0

The volume of the triangular prism is:
V = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: triangle height
H: prism height
Substituting:
V = (1/2) * (9) * (12) * (19)
V = 1026 cm ^ 3

The volume of the cylinder is:
V = (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting:
V = (3.14) * ((14/2) ^ 2) * (11)
V = 1692.46 yd^3

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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

4 0

3 years ago

Help me pls don’t put random

Vladimir [108]

I think it’s A
Sorry if I’m wrong

4 0

3 years ago

Read 2 more answers

Solve the proportion: 12/16=9/48x

ivanzaharov [21]

Hey there

the answer is

x=4

thank you

OFFICIALLYSAVAGE2003

5 0

3 years ago

Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts

kotegsom [21]

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Find out more at: brainly.com/question/25285332

3 0

2 years ago

What is 1/2+3/4= ...........

Mademuasel [1]

To answer the calculation 1/2 + 3/4, you need to do the following:

1/2 + 3/4 = 2/4 + 3/4 = (2 + 3) / 4 = 5/4

This can be also written as $1\frac{1}{4}$ .

3 0

3 years ago