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3 years ago

Prove that sin30/cos30+sin60/cos60=sin90

Mathematics

2 answers:

aev [14]3 years ago

6 0

you just have to expand the trig. functions into their corresponding values and then finish them off.

vovikov84 [41]3 years ago

5 0

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0

4 years ago

One endpoint (-1,-5) Midpoint (2,3)

Alecsey [184]

I don’t know the answer but I need a answer to this

4 0

3 years ago

Bruno Mars has $108 and is spending

Ilia_Sergeevich [38]

Answer:

Yes

Step-by-step explanation:

4 0

3 years ago

Determine the volume of the cylinder

vova2212 [387]

Answer:

V = πr²h

To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.

Step-by-step explanation:

The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)

Then we multiply the height by the area of the circle.

V = π·r²·h

This can be used in different ways as well,

if we don't know the radius but know everything else we could use the formula:

$r=\sqrt{\frac{V}{\pi*h} }$ (r = √(V/πh))

If we don't know the height we use this formula:

(h = V/(πr²))

3 0

3 years ago

Circle A has a radius that is 5 centimeters less than the radius of Circle B. How does the diameter of Circle A compare to the d

kotegsom [21]

Answer:diameter of circle A is

(2r - 10) centimeters while Answer:diameter of circle B is 2r

Step-by-step explanation:

Diameter = radius/2

Circle A has a radius that is 5 centimeters less than the radius of Circle B. It means that if the radius of circle B is 5 centimeters, then the radius of circle A would be (r - 5) centimeters. Also,

The diameter of circle B would be

2 × r = 2r centimeters

Therefore, the diameter of circle A would be expressed as

2(r - 5) = (2r - 10) centimeters

6 0

3 years ago

Prove that sin30/cos30+sin60/cos60=sin90​

Prove that sin30/cos30+sin60/cos60=sin90