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tiny-mole [99]
3 years ago
15

Find the slope.....................

Mathematics
2 answers:
bekas [8.4K]3 years ago
7 0
Answer: 2x is the slope
Y= 2x-2
When finding slope think “rise over run” implying that when writing it as a fraction the rise would go over the run, this answer for example would be 2/1x because the line rises 2 for every 1 unit it passes. I don’t think you need this large of a explanation but I thought it would help
Stels [109]3 years ago
7 0
4 shaksjxhdjakajzjxjgh
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Find the volume and surface area of the prism below
Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0
3 years ago
Suppose sin(A) = 1/4. use the trig identity sin^2(A)+cos^2(A)=1 to find cos(A) in quadrant II. around to ten-thousandth.
larisa86 [58]

In quadrant II, \cos(A) will be negative. So

\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = -\sqrt{1 - \sin^2(A)} = -\dfrac{\sqrt{15}}4 \approx \boxed{-0.9682}

8 0
2 years ago
The complement of 4 heads in the toss of 4 coins is
Fofino [41]

Answer:

b i believe the answer is

4 0
3 years ago
The Appalachian Trail is a hiking trail that stretches 2158 miles from Georgia to Maine the record for completing this hike in t
inn [45]
They averaged about 17 hours a day.
3 0
3 years ago
What is the simplest form for 30/42? thanks!?
andre [41]
It would be: 30/42 = 15/21 = 5/7

In short, Your Answer would be 5/7

Hope this helps!
7 0
3 years ago
Read 2 more answers
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