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Olegator [25]
4 years ago
13

Which is the best example of Newton's First Law of Motion?

Mathematics
2 answers:
Law Incorporation [45]4 years ago
8 0
Its B because the ball would have kept going in that direction if it wasn't for inertia or the player who made it go another way.

zheka24 [161]4 years ago
5 0

I agree, the answer is B.

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Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y=e^x
dimulka [17.4K]

The fourth option is correct.

See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

\pi((\text{outer radius})^2-(\text{inner radius})^2)(\text{height})

so when we integrate, we take

\displaystyle\pi\int_0^1((e^x+2)^2-3^2)\,\mathrm dx

7 0
3 years ago
Please help me out :P
Veseljchak [2.6K]

cos θ = \frac{-4\sqrt{65} }{65}, sin θ = \frac{-7\sqrt{65} }{65}, cot  θ  = 4/7, sec  θ = \frac{-\sqrt{65} }{4}, cosec  θ  = \frac{-\sqrt{65} }{7}

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = \sqrt{7^{2} + 4^{2} } = \sqrt{49+16} = \sqrt{65}

sin θ = opposite/ hyp = \frac{7}{\sqrt{65} }

Rationalize, \frac{7}{\sqrt{65} } x \frac{\sqrt{65} }{\sqrt{65} } = \frac{7\sqrt{65} }{65}

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - \frac{7\sqrt{65} }{65}

cos   θ  = adj/hyp = \frac{4}{\sqrt{65} }

By rationalizing and knowing that cos  θ  is negative, cos θ  = -\frac{-4\sqrt{65} }{65}

cot θ  = 1/tan θ  = 1/7/4 = 4/7

sec θ  = 1/cos θ  = 1/\frac{4}{\sqrt{65} } = -\frac{-\sqrt{65} }{4}

cosec θ  = 1/sin θ  = 1/\frac{\sqrt{65} }{7} = \frac{-\sqrt{65} }{7}

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0
2 years ago
Nathan plants equal-sized squares of sod in his front yard. Each square has an area of 6 square feet. Nathan plants a total of 1
Lelechka [254]
1 sod = 6 square feet
Total planted = 1000

1000*6 \\ 6000

There are 6,000 square feet of sod.
4 0
3 years ago
Help! Geometry question!! Photo attached!
jonny [76]

The triangles are not the same size so a dilation made the original one smaller and a translation moved it to map ABC to A'B'C'.

3 0
4 years ago
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
enyata [817]

Average speed: distance traveled/elapsed time

= 75/30

= 2.5 meters per second.

Best of Luck!

5 0
3 years ago
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