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3 years ago

Which of the following terms best describes three points that all lie in a straight line

Mathematics

2 answers:

sergiy2304 [10]3 years ago

7 0

You have three colinear points

Alja [10]3 years ago

6 0

We say that the three points are collinear.

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

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

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

I need help please

emmainna [20.7K]

Answer:

1+1=2

Step-by-step explanation:

3 0

2 years ago

Shoot your shot! When Nick shoots a basketball, he either sinks the shot or misses. For each shot Nick sinks, he is given 5 poin

Misha Larkins [42]

Answer:

Nick sank 8 shots

Step-by-step explanation:

* Lets explain how to solve the problem

- Assume that Nick sinks x shots and misses y shots

- Nick attempts a total of 28 shots

- That means he sinks and misses 28 shots

∴ x + y = 28 ⇒ (1)

- His father give him 5 points (+5) for every sank shot and takes away

2 points (-2) for every missed shot

- That means his score calculated by adding (the number of sank shots

multiplied by 5) and (the number of missed shots multiplied by (-2))

- Nick ends up with zero points

∴ 5x + (-2)y = 0

- Remember: (+)(-) = (-)

∴ 5x - 2y = 0 ⇒ (2)

* Now we can solve the two equations by elimination method to find

the number of sank shots

- Multiply equation (1) by 2 to eliminate y

∴ 2x + 2y = 56 ⇒ (3)

- Add equations (2) and (3)

∴ 7x = 56

- Divide both sides by 7

∴ x = 8

∵ x represents the number of sank shots

∴ Nick sank 8 shots

8 0

3 years ago

How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point) a Two b None c One d Infinitely many

elena55 [62]

Answer:

Infinity

Step-by-step explanation:

-4y + 4y + 2 = 2

2 = 2 = always true

6 0

3 years ago

Read 2 more answers

Write each as a percent. Round to the nearest tenth of a percent

Ghella [55]

Answer:

4. 3.1% this could be 0% either idk bc 0.031 rounded to nearest 10th is 0

6. 90%

8.10%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers