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emmainna [20.7K]
3 years ago
8

A circle centered at the origin has a radius of 5 units. The terminal side of an angle, , intercepts the circle in Quadrant 3 at

point D. The x-coordinate of point D is -3, what is the value of sin θ?
Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

sorry

Step-by-step explanation:

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A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

<u>3, 5, 5, 6, 6, 6, 7, 7, 8, 8,</u> 8, <u>8, 8, 8, 9, 9, 10, 10, 10, 10, 11</u>

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

<u />

3 0
3 years ago
Read 2 more answers
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
What is 12 rounded to the nearest ten
MariettaO [177]
10 because the number in the ones place is less than 5 which means u would go down to 10
6 0
3 years ago
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At a shelter 15%of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies???? Will Mark BRAINLLEST
tankabanditka [31]

Answer:

there are 9 puppies.

Step-by-step explanation:

Hope this helps! Happy Trails!

8 0
4 years ago
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What is 183 for 4 as a unite rate
olganol [36]

Answer:

45.75

Step-by-step explanation:

183/4=45.75.

3 0
3 years ago
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