What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?answer in terms of pie

Answers

Answer 1
Answer: volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³

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What two numbers multiply into 30 but adds up to negative 11

Answers

-6 and -5 both add up to -11 and multiply to 30
-5 and -6
-5*-6 = 30, since the two factors are negative the answer is positive.
-5-6 = -11, -5-6 is the same as -5 + -6 which equals -11

Solve the inequality 4x-7<5

Answers

4x - 7 < 5

Add 7 to the both sides,
4x - 7 + 7 < 5 + 7
4x < 12

Divide 4 from the both sides,
4x/4 < 12/4
x < 3

So, your final answer is x < 3

Hope this helps!

The zero mark on the number line represents Maya's home. The negative numbers represent the number of feet Mayawalks from her home toward the left. The positive numbers represent the number of feet Maya walks from her home
toward the right
B
С
D
-100
0
100
Which point represents Maya walking 50 feet from her home toward the left?
O Point A
Point B
Point C
O Point D

Answers

Answer: a is the correct answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

HELP MATHS perpendicular lines

Answers

Answer:

y = (1)/(3) x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation of line L₁

y = - 3x + 8 ← in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = - (1)/(m) = - ( (1)/(-3) ) = (1)/(3) , then

y = (1)/(3) x + c ← is the partial equation of line L₂

to find c , substitute the point P(3, 5 ) into the partial equation

5 = (1)/(3) (3) + c = 1 + c ( subtract 1 from both sides )

4 = c

y = (1)/(3) x + 4 ← equation of line L₂

I NEED HELP!!!! WITH NUMBER 9, & 10??

Answers

Answer:

awnser one is 7 and question 2 is -10

Step-by-step explanation:

−12−2−−55=?  question one

In the first fraction, the negative numerator and negative denominator cancel each other.

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

122+55=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(12/2, 5/5) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(122×55)+(55×22)=?

Complete the multiplication and the equation becomes

6010+1010=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

60+1010=7010

Since 70 divided by 10 equals 7 then,

7010=7

Therefore:

−12−2−−55=7    

Question 2

−81+6−3=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−81+−63=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-8/1, -6/3) = 3

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−81×33)+(−63×11)=?

Complete the multiplication and the equation becomes

−243+−63=?

The two fractions now have like denominators so you can add the numerators.

Then:

−24+−63=−303

Since -30 divided by 3 equals -10 then,

−303=−10

Therefore:

−81+6−3=−10

Solution by Formulas

Apply the fractions formula for addition, to

−81+6−3

and solve

(−8×−3)+(6×1)1×−3

=24+6−3

=30−3

=−10

Write an equation of the line in standard form with integer coefficients y=-3/5x+3

Answers

Answer:

Step-by-step explanation:

Let's multiply all the terms in 5 :

5y=-3x+15