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Harrizon [31]
3 years ago
11

Please help me with this geometry problem

Mathematics
1 answer:
Natalka [10]3 years ago
4 0
You're looking for the volume of the prism.  The dead giveaway there is that you're looking for "cubic" measurement.  Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined.  The volume for this prism is found by multiplying the length times the width times the height.  In decimal form, 45×30×40=54,000.  But that is in cubic inches and we want cubic feet.  So we will use dimensional analysis to convert that.  Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:  54,000in^3* \frac{1ft*1ft*1ft}{12in*12in*12in}.  The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
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A grain is a measure of weight equal to 0.06 gram. An aspirin tablet
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Answer:

300 milligrams

Step-by-step explanation:

You find the answer in grams which is 0.3 then you convert it to milligrams

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How to use the numbers 4, 7, 3, and 9 to get the number 25 only using the operations multiplication, division, and addition
bearhunter [10]

Answer:

(9 x 7)/3 + 4

Step-by-step explanation:

9 x 7 = 63

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5 0
2 years ago
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What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line
Karo-lina-s [1.5K]

Rewriting the equation of the given line in slope-intercept form,

-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}

6 0
2 years ago
Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1
nikklg [1K]
Given

\Sigma_{n=1}^\infty15(-4)^n

The first 10 partial sums are as follows:

S_1=\Sigma_{n=1}^{1}15(-4)^n=15(-4)=\bold{-60} \\  \\ S_2=\Sigma_{n=1}^{2}15(-4)^n=\Sigma_{n=1}^{1}15(-4)^n+15(-4)^2 \\ =-60+15(16)=-60+240=\bold{180} \\  \\ S_3=\Sigma_{n=1}^{3}15(-4)^n=\Sigma_{n=1}^{2}15(-4)^n+15(-4)^3 \\ =180+15(-64)=180-960=\bold{-780} \\  \\ S_4=\Sigma_{n=1}^{4}15(-4)^n=\Sigma_{n=1}^{3}15(-4)^n+15(-4)^4 \\ =-780+15(256)=-780+3,840=\bold{3,060} \\  \\ S_5=\Sigma_{n=1}^{5}15(-4)^n=\Sigma_{n=1}^{4}15(-4)^n+15(-4)^5 \\ =3,060+15(-1,024)=3,060-15,360=\bold{-12,300}

S_6=\Sigma_{n=1}^{6}15(-4)^n=\Sigma_{n=1}^{5}15(-4)^n+15(-4)^6 \\ =-12,300+15(4,096)=-12,300+61,440=\bold{49,140}

The rest of the partial sums can be obtained in similar way.
7 0
3 years ago
PLEASE HELP!!
navik [9.2K]

Answer:

B) 8x - 20 + 2x = 11

Step-by-step explanation:

4(2x - 5) + 2x = 11

use pemdas

parenthesis comes first

open the parenthesis

4 * 2x - 4 * 5 + 2x = 11

8x - 20 + 2x = 11

6 0
3 years ago
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