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Mariana [72]
3 years ago
5

3csc^2x-4=0 solve [0,2pi}

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
I'm assuming that you meant "3 (csc x)^2 - 4 = 0."  Your "csc^2x" is ambiguous.

If 3 (csc x)^2 - 4 = 0, then 3[1/sin x]^2 - 1 = 0 is equivalent.  We need to solve this for x.

First, rewrite this as 3[1/sin x]^2 = 4.
Next, divide both sides by 3:  [1/sin x]^2 = 4/3
This quadratic equation has two roots, one positive and one negative.

Supposing [1/sin x]^2 = 4/3, then  1/sin x = 2/sqrt(3).  Inverting both sides, sin x = sqrt(3)/2.   Find x by finding the inverse function:

x=arcsin sqrt(3)/2     so x = 60 degrees, or pi/3 radians.

Now find the other root or roots.
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A bottle contains 20 blue bags and 15 red bags. If two bags are picked at random one after the other with replacement, what is t
babymother [125]

Answer:

<h2> 12÷49</h2>

Step-by-step explanation:

The total number of bags in the bottle = 20 + 15 = 35

Then

the probability that the first bag is blue = 20/35

If we replace the first bag :

the probability that the second (picked) bag is blue = 15/35

Conclusion:

If two bags are picked at random one after the other with replacement

Then

the probability that the first bag is blue and then red is :

(20÷35)×(15÷35)

= (4÷7)×(3÷7)

= 12÷49

= 0.244897959184

7 0
2 years ago
Jamar works at Jay's Jeweler. He earns $385 a week plus commission. Last week his sales totaled $1,680. If his commission is 25%
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$805

25% of $1,680 is $420 .
$420+$385= $805
4 0
2 years ago
Read 2 more answers
Find the equation and solve it.
Mice21 [21]
To solve this, you divide 116 by four, this gets you 29. The loser got 29 votes. Then you subtract 116-29 which gives you 87. That is how many votes the winner received. Hope this helps
8 0
3 years ago
Read 2 more answers
Let the equation C = 2.32 N + 34,180 represent the cost of raising a child, C, on an income, N.
ivanzaharov [21]

Answer:

C = 2.32 N + 34,180

C = 2.32 × 60000 + 34,180

C = 139200 + 34180

C = $173,380

4 0
3 years ago
Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
2 years ago
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