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2 years ago

Use the figure at the right for Exercises 1-4

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

Use the figure at the right for Exercises 1-4

1) Name a pair of vertical angles.

Name a pair of adjacent angles with vertex M.

3) Name a pair of adjacent angles with vertex S.

4) Name a linear pair.

Step-by-step explanation:

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How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow

notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

$\frac{100}{100} \times 1000 watts/m^{2}$

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

$\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}$

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0

3 years ago

Read 2 more answers

Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).

KATRIN_1 [288]

Answer:

y=4x+6

Step-by-step explanation:

4 0

3 years ago

A certain amount of money is shared between

ICE Princess25 [194]

<h3>Hello There !! </h3>

<h3><u>Explanation :- </u></h3>

• Amount received by Rui = 5x = 5 x 11 = $55..

• Amount received by Vishal = 9x = 9 x 11 = $99..

Let the amount received by Rui be 5x..

Then the amount received by Vishal is 9x ..

And by this data = 5x + 44 = 9x ..

4x = 44
x = 44/4 = 11

• Amount received by Rui = 5x = 5 x 11 = $55..

• Amount received by Vishal = 9x = 9 x 11 = $99..

<h3>Hope this helps you..! </h3>

7 0

2 years ago

Somone please help me asap i need to turn this in its due tomorrow

Novosadov [1.4K]

Hope this helps !
Answer circled on green

6 0

2 years ago

Find all solutions of the equation in the interval [0, 2pi).

natali 33 [55]

Answer:

Step-by-step explanation:

Begin by squaring both sides to get rid of the radical. Doing that gives you:

$sin^2x=1-cosx$

Now use the Pythagorean identity that says

$sin^2x =1-cos^2x$ and make the replacement:

$1-cos^2x=1-cosx$ . Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:

$1-cos^2x+cosx-1=0$ and then simplify to

$cosx-cos^2x=0$

Factor out the common cos(x) to get

$cosx(1-cosx)=0$ and there you have your 2 trig equations:

cos(x) = 0 and 1 - cos(x) = 0

The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

$x=\frac{\pi }{2},\frac{3\pi}{2}$

The second equation simplifies to

cos(x) = 1

Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.

So, in the end, your 3 solutions are

$x=\frac{\pi}{2},\pi,\frac{3\pi}{2}$

8 0

3 years ago