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Alex_Xolod [135]
2 years ago
15

In the triangle above, what is sin A

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

\large\boxed{\sf sin(A)=0.5}

Step-by-step explanation:

A right angled triangle is given to us and we would like to find out the value of sin(A) .

From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

\longrightarrow A = 30^o

On using sin both sides ,

\longrightarrow sin(A) = sin30^o

As we know that the value of sin30° = 1/2. So;

\longrightarrow sin(A)=\dfrac{1}{2}

Simplify by converting it into decimal ,

\longrightarrow \underline{\underline{sin(A) = 0.5}}

<u>Hence</u><u> </u><u>option</u><u> </u><u>B</u><u> </u><u>is</u><u> </u><u>correct</u><u> </u><u>.</u>

And we are done!

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If a1 = 8 and an<br> An-1 + 2 then find the value of a4.
mote1985 [20]

9514 1404 393

Answer:

  a4 = 14

Step-by-step explanation:

Use the recursive definition repeatedly.

  a1 = 8

  a2 = a1 +2 = 8 +2 = 10

  a3 = 10 +2 = 12

  a4 = 12 +2 = 14

_____

The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...

  an = 8 + 2(n-1)

Then a4 is ...

  a4 = 8 +2(4 -1) = 8+6

  a4 = 14

5 0
3 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
4 years ago
Can somebody plz help quick
SCORPION-xisa [38]
1 1/6 is yah awnser boom
8 0
3 years ago
Read 2 more answers
A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?
mixas84 [53]

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

6 0
3 years ago
Question 1 (1 point)
insens350 [35]

Answer:

1. q = p - mn

2. c = -6

3. 10

Step-by-step explanation:

1.

mn=p-q\\\textsf{add q to both sides}\implies mn + q = p\\\textsf{subtract mn from both sides}\implies q = p-mn

2.

5c+23=c-1\\\textsf{subtract 23 from both sides}\implies5c=c-24\\\textsf{subtract c from both sides}\implies4c=-24\\\textsf{divide both sides by 4}\implies c=-6

3.

4f^2-g\\\implies 4(2)^2-3=13\\\\3f^2-3g\\\implies 3(2)^2-(3 \times3)=3\\\\13-3=10

4 0
2 years ago
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