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3 years ago

How do you know which function is the inner radius and which is the outer radius?

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

Step-by-step explanation:

Graphing them is the best way to tell (I put one from Desmos in th attachment scribbled on it a little to match our situation). Otherwise you'll just have to know which one is going to be where on the interval given; but that knowledge comes by graphing them a lot anyways.

Also remember to draw your strips/lines from the axis of revolution to the curves. The longer one will represent the outer radius of the volume and the shorter one the inner radius.

So:

Graph the functions.
Draw your strips/lines
Outer is longer, Inner is shorter

Comment with any questions.

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Conduction can occur within a single substance, but parts of the substance must have which property? different temperatures diff

Julli [10]

Answer:

Step-by-step explanation:

answer is A

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3 years ago

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Use the variable t for the number of teeth in one row. Write an expression to determine the number of teeth in a sharks mouth.

AURORKA [14]

If t represents the number of teeth in one row...and a shark has 3 rows of teeth...then the expression to find out how many teeth he has in his entire mouth is : 3t

7 0

3 years ago

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

Data set: 13, x, 4, 16, 6, y
Mean = 12
y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

$\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12$

Let us substitute the value of y (2x) in the data.

$\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12$

Now, add all the terms in the data and simplify.

$\implies \dfrac{39 + x +2x}{6} = 12$

$\implies \dfrac{39 + 3x}{6} = 12$

Distribute the denominators and simplify.

$\implies \dfrac{39}{6} + \dfrac{3x}{6} = 12$

$\implies \dfrac{13}{2} + \dfrac{x}{2} = 12$

$\implies 6.5 + \dfrac{x}{2} = 12$

Subtract 6.5 both sides and simplify.

$\implies 6.5 + \dfrac{x}{2} - 6.5 = 12 - 6.5$

$\implies \dfrac{x}{2} = 5.5$

Use cross multiplication and simplify.

$\implies x= 5.5 \times 2$

$\implies x= 11$

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

$\implies y = 2x$

$\implies y = 2(11)$

$\implies y = 22$

When the x and y values are substituted in the data, we get;

⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0

2 years ago

Eduardo and Paul are leaving the same airport in Florida. Eduardo’s flight to Jamaica is 273 miles long. Paul's flight to Hondur

k0ka [10]

Answer:

B. 41.8° is the correct answer

Step-by-step explanation:

We are given that,

Length of Eduardo's flight path = 273 miles

Length of Paul's flight path = 357 miles

Distance between their destinations = 238 miles.

Now, using the law of cosines, we get,

$238^2=273^2+357^2-2\times 273\times 357\times \cos \theta$

i.e. $56644=74529+127449-194922\times \cos \theta$

i.e. $56644=201978-194922\times \cos \theta$

i.e. $194922\times \cos \theta=145334$

i.e. $\cos \theta=0.7456$

i.e. $\theta=\arccos 0.7456$

i.e. θ = 41.8°

Hence, the angle between their flight paths is 41.8°.

4 0

3 years ago

The amount of Social Security benefits received by an individual that he or she must include in gross income:

algol13

Answer:

b. May be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.

Step-by-step explanation:

Social security measures an organization to guarantee individuals against certain risks (social risks). Social security is made up of a set of institutions whose function is to protect individuals from the consequences of various events or situations, generally referred to as social risks.

Social Security is a public service of the State, ensuring all the social risks of workers, employees, liberal professions, self-employed, and non-salaried workers. Social Security provides the benefits provided by the Social Security Code. However, the amount of Social Security benefits received by an individual that they must include in gross income may be zero or as much as 85% of the Social Security benefits received, depending upon the taxpayer's Social Security benefits and other income.

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3 years ago