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Hunter-Best [27]
2 years ago
12

A steel hex nut has two regular hexagonal faces and a hole with a diameter of 0.4 cm through the middle. Its mass is 3.03 grams.

Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon is times the apothem times the perimeter. V = cm3 Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3 Find the volume of the composite figure. V = cm3 Calculate the density by dividing the mass by the volume. d = g/cm3
Mathematics
2 answers:
Minchanka [31]2 years ago
8 0

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation: Got it right on e{dg}enuity.

marin [14]2 years ago
7 0
1.V = 0.45cm^3

2.V = 0.06cm^3

3.V = 0.39cm^3

4.D = 7.77g/cm^3
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one angle of a linear pair is 10 more than two thirds the other angle. find the measure if both angles
BigorU [14]

Answer:

One Angle = 110°

Other Angle = 70°

Step-by-step explanation:

A linear pair means that two angles are in a straight line (or, a straight angle).

A straight line is 180 degrees.

THey are supplementary.

We can say one angle is "a" and another one is "b".

<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>

<em>a=\frac{2}{3}b+10</em>

<em />

<em>Also, since they are supplementary (add up to 180), we can write:</em>

<em>a + b = 180</em>

<em />

We can now substitute 1st equation in this one and find b:

a+b=180\\(\frac{2}{3}b+10)+b=180\\\frac{2}{3}b+b=180-10\\\frac{5}{3}b=170\\b=\frac{170}{\frac{5}{3}}\\b=170*\frac{3}{5}\\b=110

Since a + b = 180, we can write:

a + 110 = 180

so,

a = 180 - 110

a = 70

Thus,

One Angle = 110°

Other Angle = 70°

8 0
1 year ago
If a person invests $220 at 7% annual interest, find the approximate value of the investment at the end of 10 years.
frez [133]

\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$220\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=220[1+(0.07)(10)]\implies A=220(1.7)\implies A=374

5 0
1 year ago
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Joshua is 25 years old and has a high risk job making $72,000 a year. The insurance company charges him an extra 20% on top of h
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The premium will cover 14,400 dollars over the course of 5 years.
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2 years ago
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Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
nordsb [41]
I hope this helps you..;

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2 years ago
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The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
Amiraneli [1.4K]

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

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