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marysya [2.9K]
3 years ago
15

II. Using Radians to Measure Arcs and Angles

Mathematics
1 answer:
padilas [110]3 years ago
4 0
Pi radians is 180 degrees.
A
1) 180/3=60
2) 270
3) 45
4) 3240
B
1) 100/180=5/9
3) 30/180=3/18
5) 1/180
C
1) (pi) cm
2) 2pi
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Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
How to rewrite 3x4-1+2
igomit [66]
If you want to solve it the answer is 13...
If you want multiple ways to write that here are some:
3x4+2-1
3x4+1
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4 0
3 years ago
A man invests $2000 in an account that pays 6.5% interest per year, compounded quarterly.
skelet666 [1.2K]

Answer:

The correct answer is a. $2275.28; b. 17.04 years

Step-by-step explanation:

Principal to be invested is $2000

Interest rate (r) per year is 6.5 quarterly.

Interest is calculated compoundly.

a. Time (t) for the investment is given to be 2 years.

Amount after two years is = Principal × ( 1+ \frac{r}{100n}) ^ {nt} where the value of n is 4.

⇒ A = 2000  × ( 1+ \frac{6.5}{400}) ^ {8}

⇒ A = $2275.28.

b. Now the value of A is given to be triple the principal = $ (3 × 2000).

Therefore we need to find the value of t.

⇒ 3 × 2000 =  2000  × ( 1+ \frac{6.5}{400}) ^ {4t}

⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)

⇒ t = 17.04

Therefore it would take 17.04 years for the principal to triple.

5 0
2 years ago
John makes 35% of his free throw shots.
Minchanka [31]

Answer:

(1)0.39

(2)0.14

(3)0.21

(4)0.26

Step-by-step explanation:

John makes 35% of his free throw shots.

  • The probability that John makes his shot =0.35
  • The probability that John misses his shot =1-0.35=0.65

Sue makes 40% of her free throw shots.

  • The probability that Sue makes her shot =0.4
  • The probability that Sue misses her shot =1-0.4=0.6

(1)John and sue both miss their shots

P(John and sue both miss their shots)

=P(John miss his shot) X P(Sue misses her shot)

=0.65 X 0.6 =0.39

(2)John and Sue both make their shots

P(John and Sue both make their shots)

=P(John makes his shot) X P(Sue makes her shot)

=0.35 X 0.4=0.14

(3)John makes his shot and Sue misses  hers

P(John makes his shot and Sue misses  hers)

=P(John makes his shot) X P(Sue misses her shot)

=0.35 X 0.6=0.21

(4)John misses his shot and Sue makes  hers

P(John misses his shot and Sue makes  hers)

=P(John miss his shot) X P(Sue makes her shot)

=0.65 X 0.4 =0.26

8 0
3 years ago
Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pict
FinnZ [79.3K]

Answer:

each friend will get 22

Step-by-step explanation:

so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22

4 0
2 years ago
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