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3 years ago

Please Help!!! 5 STARS Let cos(−θ)=45 and tanθ>0 . What is the value of sin(−θ) ?

Mathematics

1 answer:

serious [3.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

We know the identity, even/odd

cos(-Θ) = cos (Θ)

Means cos(Θ)= $\frac{4}{5}$

Using triangle method and SOH CAH TOA, please refer the diagram attached

sin(θ)= $\frac{3}{5}$

We know, sin(-Θ)= -sin(Θ)

So, sin (-Θ) = $-\frac{3}{5}$

So the answer is C : Answer

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Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that

IgorC [24]

The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
$P(5 \ \textless \ x \ \textless \ 7) = \frac{2}{10} = \frac{1}{5}$
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
$P(2 \ \textless \ x \ \textless \ 3)=\frac{1}{10}$
c. The mean is given by:
$\mu=\frac{a+b}{2}=\frac{0+10}{2}=5$
d. The variance is given by:
$\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333$
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3 years ago

What is the axis of symmetry for the function f(x)=3(x-2)^2+4

Alex73 [517]

y=3(x-2)²+4

Vertex is(2,4)

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3 years ago

Phillip bought a used car for x dollars. one year later the value of the car was 0.88x. which expression is another way to descr

prisoha [69]

If I said I had .25 cents you would know I had a quarter of a dollar or 1/4th of a dollar, .25 cents could also be thought of as 25% of a dollar.

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3 years ago

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s

Andre45 [30]

Answer:

150 short-sleeved shirts
100 long-sleeved shirts

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

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5S +10L = 1750

The number sold was ...

(1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

S +2L = 350
2S +3L = 600

Subtracting the second equation from twice the first gives ...

2(S +2L) -(2S +3L) = 2(350) -(600)

L = 100 . . . . . . simplify

2S +3(100) = 600

S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

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3 years ago

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Whats 2/5 ÷ 3/5. Please give me an Answer

babymother [125]

Answer:

2/3

Step-by-step explanation:

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2 years ago

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