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Allisa [31]
2 years ago
7

Select point B, and drag it. As you drag B, circle AB changes. Verify that you can make circle AB coincide with AC. Return B to

its approximate initial position. When circle AB coincides with circle AC, what do you notice about the regions CAD and EAF? In terms of similarity, what does your observation imply about the relationships among the lengths of the radii of AB and AC and the lengths of arc EF and arc CD? Write the relationship in the form of a proportion, and explain how it follows from your observation.
Mathematics
1 answer:
-BARSIC- [3]2 years ago
8 0

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

radius of Ab/ radius of Ac= length of arc EF/ length of arc CD

Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

This is the exact answer so make sure you change it up a little.

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6(1 + 3R) = 2(10R - 9) -4R
Damm [24]

Answer:

R=-12

Step-by-step explanation:

6(1 + 3R) = 2(10R - 9) -4R

Distribute 6 through the parentheses

6+18R=2(10R-9)-4R

Distribute 2 through the parentheses

6+18R=20R-18-4R

Collect like terms

6+18R=16R-18

Move the variable to the left-hand side and change its sign

6+18R-16R=-18

Move the constant to the right-hand side and change its sign

18R-16R=-18-6

Collect like terms

2R=-18-6

Calculate the difference

2R=-24

Divide both sides of the equation by 2

R=-12

if you'd make me brainliest that'd be great, if not its ok as well! I hope this helped!!!

5 0
3 years ago
A graph, titled a Car, on a coordinate plane. Horizontal axis measures gasoline in gallons. Vertical axis measures distance in m
borishaifa [10]

its 1200 i think i work it out but i could have done it wrong


4 0
2 years ago
Please answer quickly with explanation. I am in need of major help. PLEASE NO FILE DOWNLOADS EITHER!!
Natali5045456 [20]
I am not sure but I think it’s b
7 0
2 years ago
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

6 0
2 years ago
What is the length of AC?
MatroZZZ [7]
The sin <ABC means that AC/AB. So we know AB=34. AC/AB=8/17. So the length of AC is 16. cos<ABC means BC/AB. tan<ABC means AC/BC.
8 0
2 years ago
Read 2 more answers
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