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Xelga [282]
2 years ago
7

This one is hard! try your best please.

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

1. 301.6 in^{3}

2. 576 in^{3}

3. 274.41 in^{3}

Step-by-step explanation:

We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and \frac{12}{3} =4. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.

Then, you can find the volume of the box, because you know its dimentions are 12x12x4.

Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)

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Step-by-step explanation:

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What is the equation of the line in slope-intercept form?<br><br> y=_x+_
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Step-by-step explanation:

4 0
3 years ago
Review of Significant Figures: How many significant figures does the result of the following calculation have: 24.78*(37.3-31.72
horsena [70]

Answer:

The significant figure of the result is 138.8

Step-by-step explanation:

24.78*(37.3 - 31.72)

Solving the bracket first:

37.3 - 31.72 = 5.58

A zero is added to 37.3 before the substraction, so;

37.3 - 31.72 = 37.30 - 31.72 = 5.58

Following the rule of significant figure; we have the answer of the substraction as 5.6 since the least number of significant is one decimal place.

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24.78 * 5.6 = 138.768

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5 0
3 years ago
Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?
diamong [38]

The equation perpendicular to the line passing through the points (-4,7) and (1,3) isy=\frac{5}{4}x-2

<h3>Equation perpendicular to a line</h3>

The slope of the given line is calculated as:

m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}

The equation perpendicular to the given line will be of the form

y-y_1=\frac{-1}{m} (x-x_1)

Substitute x_1=-4, y_1=7, and m=\frac{-4}{5}

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Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is y=\frac{5}{4}x-2

Learn more on perpendicular equations here: brainly.com/question/1441594

#SPJ1

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