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AveGali [126]
3 years ago
9

ASAP please help I’m failing math

Mathematics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

Part A) The volume of the entire cone is 168\pi\ in^3

Part B) see the explanation

Step-by-step explanation:

Part A) we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

where

r is the radius of the base of the cone

h is the height of the cone

In this problem triangle ABD is similar to triangle ACE

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

so

\frac{AB}{AC}=\frac{BD}{CE}

substitute the given values

\frac{7}{14}=\frac{3}{x}

solve for x

x=14(3)/7\\x=6\ in

To find out the volume of the entire cone we have

r=CE=x=6\ in

h=AC=14\ in

substitute in the formula

V=\frac{1}{3}\pi (6)^{2}(14)

V=168\pi\ in^3

Part B) How did you determine the value for x in triangle ACE

In this problem triangle ABD is similar to triangle ACE

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

so

\frac{AB}{AC}=\frac{BD}{CE}

substitute the given values and solve for x

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2x + 2y = -2<br> 3x - 2y = 12<br> Solve By Elimination<br> Pls give me the hole equation
Sholpan [36]

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

8 0
2 years ago
What is the value of the expression 3^−4 ?
ikadub [295]
3^-4 = 1/3^4 = 1/81

hope it helps!
4 0
3 years ago
Read 2 more answers
Plz help I want to ace this
nikklg [1K]

Answer:

B

Step-by-step explanation:

You multiply the 3 numbers.

6 0
2 years ago
Three consecutive odd integers have a sum of 27. What is the greatest of these integers?
Gnoma [55]

Answer:

  11

Step-by-step explanation:

The middle of the three is their average, their sum divided by 3:

  middle = 27/3 = 9

Then the largest is 2 more. It is 11.

6 0
3 years ago
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Answer:

72°

Step-by-step explanation:

tan x= PN/OP=95/31

⇒x ≈ 72°

7 0
2 years ago
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