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erica
2 months ago
8

Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 3.5 inches. Volume (to the neares

t tenth) = cubic inches.
Mathematics
2 answers:
Zina [12.3K]2 months ago
6 0
Answer: 179.5. Here is a step-by-step breakdown:
tester [12.3K]2 months ago
4 0
To address the problem outlined above, follow the procedure below: 1. Use the formula for determining the volume of a sphere, which is: V=4πr³/3, where V signifies the sphere's volume and r represents the radius (r=3.5 inches). 2. Substitute these numbers into the formula to arrive at the sphere's volume, resulting in V=4π(3.5 inches)³/3. 3. Therefore, the final answer is: V=179.5 inches³.
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2 months ago
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There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders
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Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is g+400-1800=1300.

Step-by-step explanation:

Given:

Initial gravel amount = 'g'.

Currently Given:

Throughout the day, 400 pounds of gravel is added to the pile.

Thus we can conclude;

Gravel amount after addition = g+400

Also given:

Two orders of 900 pounds are sold and the gravel is taken from the pile.

Hence, two orders of 900 pounds = 2\times 900 = 1800 \ pounds

This leads us to state;

Gravel amount post-removal = g+400-1800

Now Given:

Remaining gravel at the end of day = 1300 pounds.

Therefore, we derive that;

g+400-1800=1300

Consequently, the equation that best describes the scenario is g+400-1800=1300.

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1 month ago
Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC
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3\sqrt{5}/2

Step-by-step explanation:

Given that AC = BC, this is an isosceles triangle.

Since CD is perpendicular to AB, we find AD = DB = 0.5AB = 3/2

Now considering triangle ACD,[TAG_17]]

we will use Pythagoras' theorem,

AC = \sqrt{AD^{2} + CD^{2} }

AC = 3\sqrt{5}/2

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2 months ago
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Which of the following scenarios best describes division of a polynomial using synthetic division? Select all that apply. The di
Svet_ta [12734]

Response:

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Elaboration:

The valid points are:

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3. If the last term in the quotient contains a number, a remainder will exist. After performing the division, if a number other than zero remains in the final term of the quotient, it is classified as the remainder.

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