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serg [7]
2 years ago
12

7. In the figure below, lines p and q are parallel. The measure of 23 = 126°.

Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

You just subtract 126 degrees from 180 degrees = 34 degrees for all angles

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According to the chart below, what percentage of Ralph’s expenses are items other than taxes?
pochemuha

Answer:

  • <u>65%</u>

Explanation:

Please, see attached the chart corresponding to this question.

The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.

The items corresponding to<em> taxes</em> are:

  • <em>Federal tax: 29%</em>
  • <em>State tax: 6%</em>

All the other expenses are not taxes.

Add the two items that are taxes: 29% + 6% = 35%.

Hence, the expenses that are not taxes can be calculated by difference:

  • 100% - 35% = 65%.

8 0
2 years ago
Read 2 more answers
The figure below shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is tru
zzz [600]
Here is something to keep in mind. 
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis 
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward. 

your answer will be D

6 0
2 years ago
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A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N rep
poizon [28]
<span>Answer:

The two events are independent. In the given scenario, P(M and N) =0.25

Explanation:

1) Independent events are those that do not affect each other. In this case the number that you roll does not change the flip of the coin. So, whatever number you get with the die, the probabilities of landing tail or head when tossing the coin are the same.

2) The probability of the two simultaneous events: getting an odd number and landing a tail, since they are independent, is equal to the product of the two independent events:
P(M and N) = P(M) x P (N) (only because they are independent)

3) The probability of getting and odd number is 0.5 (half of the numbers are odd and half are even => probability = 1/2)

4) The probability of the coin lands tail is 0.5 (1/2).

5) Then the joint probability is 0.5 x 0.5 = 0.25</span>
3 0
2 years ago
World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

7 0
2 years ago
Aidan is filling a new kiddie pool with water. The pool is the shape of a rectangular prism and is 3/4 foot deep, 6 1/2 feet wid
ss7ja [257]

Answer:292.5 is what i got but i saw somewhere where it say the volume of this pool is 1077.12 gallons of water.

Step-by-step explanation: hope this helps

6 0
2 years ago
Read 2 more answers
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