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gogolik [260]
4 years ago
11

If a circle c with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point p on c traces out a curve called a

n epicycloid, with parametric equations x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. find the area it encloses
Mathematics
1 answer:
STALIN [3.7K]4 years ago
3 0
I need to think on this one.
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What is m<efh =(5×+1)°,m<hfg =62° and m <efg = (18×+11)°, find each measure.​
Naddik [55]

Answer:

m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°

Step-by-step explanation:

Given:

m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

m\angle efh+m\angle hfg=m\angle efg

Plug in their values and solve for 'x'. This gives,

5x+1+62=18x+11\\5x+63=18x+11\\18x-5x=63-11\\13x=52\\x=\frac{52}{13}=4

Therefore, the angle measure of each are:

m\angle efg=5x+1=5(4)+1=20+1=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=18x+11=18(4)+11=72+11=83\°

6 0
4 years ago
Two jackets have a combined cost of $98. Jacket a costs $12 less than jacket b. How much does each jacket cost?
lawyer [7]

Answer:

Jacket A costs 43$

Jacket B costs 55$

Step-by-step explanation:

According to the Question,

  • Given, Two jackets have a combined cost of $98. Jacket 'A' costs $12 less than jacket 'B'. Thus, if the jacket B Cost 'X' So, Jacket A costs 'X-12'.

Therefore, Jacket A + Jacket B = 98

X-12+X = 98

2X = 110

X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .

7 0
3 years ago
Help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
zmey [24]

Answer:

D. should be the answer

3 0
3 years ago
Read 2 more answers
1 point
erik [133]

Answer:

$1806.06 million

Step-by-step explanation:

-This is a question of proportionality.

We are given that 13.2% is equivalent to $238.4 million in chocolate expenses

-To find the total value of chocolate expenditurerealized, we divide $238.4 million by 13.2%:

Total\  sales=\frac{238.4}{0.132}\\\\=\$1806.06\ million

Hence, the total amount spent on chocolate is $1806.06 million

7 0
3 years ago
Help! :(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((
Hatshy [7]

Answer:

The answer is 7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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