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dusya [7]
3 years ago
6

Approximating slopes of tangent lines using the process shown last week for the function

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

9514 1404 393

Answer:

  -5

Step-by-step explanation:

The right secant line has a "rise" of -6-(-1) = -5 for a "run" of 3-2 = 1. The slope is the ratio ...

  m = rise/run = -5/1 = -5

The slope of the right secant line is -5.

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Yeah another one ha ha
boyakko [2]

Answer:

16.75 cubic inches

Step-by-step explanation:

<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>

1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.

  • Volume of a sphere --> V= \frac{4}{3}\pi r^3 (V = volume, and r = radius)
  • Volume of a cylinder --> V = \pi r^2h (V = volume, r = radius,h = height)

These formulas will be needed.

2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.

3) Let's start by finding the volumes:

  • Cylinder --> V = \pi r^2h            

We have the radius (which is 2) and the height (which is 4)

  • This means we can solve --> V = \pi(2^2)(4)
  • 2 squared is 4, so then it would be --> V = \pi (4)(4)
  • 4 times 4 is 16 so V = 16\pi ---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi).
  • Next is the Sphere--> V = \frac{4}{3}\pi r^3

We have the radius (which is 2) so we can solve

  • V = \frac{4}{3}\pi  (2^3)
  • 2 cubed is 8, so it would be --> V = \frac{4}{3}\pi (8)
  • 8 times 4/3 is 32/3 so --> V = \frac{32}{3}\pi --> which is Around 33.51 cubic  inches

4) Now we have to find the difference, so we do:  

  • 50.24 - 33.51 = 16.74

This means your answer would be 16.75 as that is the closest one.

<em>Hope you understood and have a nice day!! :D</em>

5 0
3 years ago
In the diagram, m∠F = 60°.
natima [27]
1. The Side Angle Side (SAS) similarity theorem states that:

If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.

2. That is, we notice the equivalent ratios:

 \frac{40}{20}= \frac{20}{10}

so \frac{EF}{FG}= \frac{HI}{IJ}

then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem. 
7 0
3 years ago
Read 2 more answers
Is the length of a rectangle always more than the width?
Morgarella [4.7K]
No it's not because the length of a rectangle is not always but some times do and you can search on internet or ask your teacher too that might be helped I think may be.
3 0
4 years ago
Read 2 more answers
The value of 23 + 33 = ___. Numerical Answers Expected!
IrinaK [193]

Answer:

75.76%

Step-by-step explanation:

4 0
3 years ago
You need at least $485 to go on a trip to New York City. You already have $100 saved for the trip. You decide to save an additio
elena-14-01-66 [18.8K]
Remark
The entire trip costs 485 dollars. She has a hundred, and you are looking for the number of weeks needed to save for the trip.

Step one
Set up the basic equation.
35w + 100 ≥ 485

Step two
solve
35w + 100 ≥ 485        Subtract 100 from both sides.
35W ≥ 485 - 100         
35W ≥ 385 Divide by 35
W ≥ 385 / 35
W ≥ 11 weeks.

Since we don't have choices, we can't eliminate those that are wrong.

If I had to guess I would say it was something that looked like
35W + 100 ≥ 485

3 0
3 years ago
Read 2 more answers
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