All categories

3 years ago

Find the volume of the cylinder.

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

V= area of the base • height
V= pi• radius^2 •height
V= (3.14• 5^2) • 3
(3.14•25)•3
=235.5 units cubed

You might be interested in

15 points please help

Sonja [21]

Answer: sorry dont know this

Step-by-step explanation:

5 0

3 years ago

A 10-foot ladder leans against a wall with its foot braced 3 feet from wall's base. How far up the wall does the ladder reach?

dlinn [17]

Pythagorean theorem
for a right triangle with legs legnth a and b and hytponuse c
a^2+b^2=c^2

the legnht of th eladder is the hypotnuse
the 3 feet is bottom leg
height is other leg

10=c
3=a
b=?
3^2+b^2=10^2
9+b^2=100
minus 9 both sides
b^2=91
sqrt both sides
b=√91
aprox
b=9.53939

answer is √91 feet or aprox 9.53939

8 0

3 years ago

Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre

koban [17]

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

Read more about factored expression at:

brainly.com/question/723406

#SPJ1

7 0

2 years ago

Show work only do those 32,34,36,38,40

Free_Kalibri [48]

Answer: see below

Step-by-step explanation:

$32)\quad \dfrac{3}{5}(x-12)>x-24$

3(x - 12) > 5(x - 24)

3x - 36 > 5x - 120

-5x -5x

-2x - 36 > -120

+36 +36

-2x > -84

÷ -2 ↓ ÷ -2

x < 42

Graph: ←------------o

34) 6[5y - (3y - 1)] ≥ 4(3y - 7)

6[5y - 3y + 1] ≥ 4(3y - 7)

6{2y + 1] ≥ 4(3y - 7)

12y + 6 ≥ 12y - 28

-12y -12y

6 ≥ -28

TRUE so the solution is All Real Numbers

Graph: ←-----------------------→

36) BC + AC > AB

4 + 8 - AB > AB

12 - AB > AB

+AB +AB

12 > 2AB

÷2 ÷2

6 > AB

AB < 6

$38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20$

Check: let y = 16

then $\frac{1}{2}$ (16 - 16) ≥ 16 + 2

0 ≥ 18

FALSE so the claim is wrong

40) question not provided in the image so I cannot give a solution.

7 0

3 years ago

For which expression is the sum of the constants greater than the sum of the coefficients?

Svetach [21]

Answer:

$8+3x^2+7x+4$

Step-by-step explanation:

The first expression is

$7+3x^2+7x+3$

The sum of the constants is 7+3=10

The sum of the coefficients is 3+7=10

The second expression is;

$7+4x^2+4x+1$

The sum of the constants is 7+1=8

The sum of the coefficients is 4+4=8

The third expression is;

$8+4x^2+8x+2$

The sum of the constants is 8+2=10

The sum of the coefficients is 4+8=12

The fourth expression is;

$8+3x^2+7x+4$

The sum of the constants is 8+4=12

The sum of the coefficients is 3+7=10

Hence the correct choice is the expression in which the sum of the constants greater than the sum of the coefficients

3 0

3 years ago