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3 years ago

What solid 3D object is produced by rotating the quarter-circle about line m

Mathematics

2 answers:

murzikaleks [220]3 years ago

8 0

Answer:

A semisphere (half sphere) with diameter 10 units

Step-by-step explanation:

Grace [21]3 years ago

3 0

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

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The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by

padilas [110]

Answer:

length = 35ft, width = 20ft

Step-by-step explanation:

We are working with length (L), width (W), and area (A). We are asked to find the 2 dimensions. The question tells us that L = W + 15, so we can express L in terms of W. However, we still don't know what A is. Since we have 2 unknowns, we somehow need to develop 2 equations to get a solvable system.

We can set up the first equation using the relationship between L and W:

$W(W+15)=A$

We can set up the second equation using the information in the second sentence:

$(W-2)(W+13)=A-106$

Now we can plug the first equation, already isolated for A, into the second equation and solve for W:

$(W-2)(W+13)=W(W+15)-106\\W^2+11W-26=W^2+15W-106\\4W=80\\W=20$

A pretty nasty-looking equation actually becomes pretty easy to solve. We know the length is 15ft greater than the width, so if W=20, L=35.

6 0

3 years ago

Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. Ho

myrzilka [38]

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

<h3>What is the Volume of a Sphere/Spherical Solid?</h3>

To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.

Diameter of the smaller spherical ball = 5 inches

Radius of the smaller spherical ball = 5/2 = 2.5 inches

Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³

Volume of the smaller spherical ball ≈ 65.5 in.³

Diameter of the larger spherical ball = 13 inches

Radius of the larger spherical ball = 13/2 = 6.5 inches

Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³

Volume of the larger spherical ball ≈ 1,150.3 in.³

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3 - 65.5

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

Learn more about the volume of sphere on:

brainly.com/question/22807400

#SPJ1

4 0

1 year ago

What is the answer for this Evaluate 3|-3|.

zhenek [66]

Answer: 9

Concept:

Here, we need to know the idea of absolute value.

The absolute value of a number or integer is the actual distance of the integer from zero, in a number line.

There are no negatives in absolute value. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive.

Solve:

Given

3 |-3|

Expand absolute value sign, which means making [-3] positive

= 3 × (3)

Simplify by multiplication

= $\boxed{9}$

Hope this helps!! :)

Please let me know if you have any questions

4 0

3 years ago

Read 2 more answers

Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,

Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

$0.08*0.6 + 0.4x = 0.2$

$0.4x = 0.2 - 0.08*0.6$

$x = \frac{0.2 - 0.08*0.6}{0.4}$

$x = 0.38$

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0

3 years ago

The elevation of Mt. Everest is 29,028 feet. The elevation of the Dead Sea is –485 feet. What is the difference in the elevation

navik [9.2K]

Answer:

28,543

Step-by-step explanation:

If we take the height of Mt. Everest (29,028) and the height of the Dead sea (-485) and subtract we get the `answer of 28,543.

6 0

3 years ago

Read 2 more answers