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2 years ago

A cylinder has a radious of 6 ft and a height of 8 ft what is the volume of the cylinder?

Mathematics

2 answers:

victus00 [196]2 years ago

6 0

Answer:

V≈904.78ft³

Step-by-step explanation:

AnnyKZ [126]2 years ago

6 0

Answer:

About 904.77868

Step-by-step explanation:

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If f(x) = x2 – 2x, find: f(-3) = [?]

maksim [4K]

9514 1404 393

Answer:

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

f(-3) = (-3)² -2(-3) = 9 +6

f(-3) = 15

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2 years ago

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Factor 65x^2+212x-133 completely

worty [1.4K]

65x^2 + 212x - 133
you have to use the quadratic formula
x=( -b +/- √b²-4ac) / 2a
a is 65
b is 212
c is 133
because the first value is squared you will have 2 answers
x= 7/13
x= - 19/5

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2 years ago

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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3 years ago

Solve 0.6(10n + 25) = 10 + 5n ?

Pachacha [2.7K]

Answer: $x=-5$

Simplify both sides of the equation

$(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10$

Subtract 5n from both sides

$6n+15-5n=5n+10-5n\\n+15=10$

Subtract 15 from both sides

$n+15-15=10-15\\n=-5$

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3 years ago

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True or False: The slope of the line that passes through (9, 9) and (6, 4) is 3/5.

emmainna [20.7K]

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (9, 9)

Point (6, 4)

Step 2: Find slope m

Substitute: $m=\frac{4-9}{6-9}$
Subtract: $m=\frac{-5}{-3}$
Simplify: $m=\frac{5}{3}$

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2 years ago