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2 years ago

Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with

Mathematics

1 answer:

raketka [301]2 years ago

8 0

According to my calculations it will take 14 years :)

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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

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On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .

kirza4 [7]

Answer:

1. A. AC=3IN

2. D AND C

Step-by-step explanation:

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3 years ago

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Determine the slope of the line 3x − 5y − 6 = 0

igor_vitrenko [27]

0=10, which is " never true" , and this leads to " no solution" also

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3 years ago

Math test pls help me

Natalija [7]

Answer:

D. $\frac{45}{x^{10}}$

Step-by-step explanation:

$(3 {x}^{ - 4} )^{2} (5 {x}^{ - 2} ) \\ \\ = (9 {x}^{ - 8} )(5 {x}^{ - 2} ) \\ \\ = 9 \times 5 \times {x}^{ - 8 - 2} \\ \\ = 45 {x}^{ - 10} \\ \\ = \frac{45}{ {x}^{10} }$

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2 years ago

Which equation can be used to find the unknown length, b, in this triangle?

Paha777 [63]

Answer:

use pythagorean theorem

Step-by-step explanation:

a^2+b^2=c^2

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3 years ago