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vlabodo [156]
1 year ago
6

The triangles shown below must be congruent.

Mathematics
2 answers:
leonid [27]1 year ago
7 0
These triangles are congruent by AAS condition hence the statement is true
Eddi Din [679]1 year ago
5 0
They are congruent because they have angle angle side congruency
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A submarine is 730 m below sea level. An airplane that is directly over the submarine is 9,144 m above sea level. What is the ve
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Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.
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A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the p
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Ilene who is not yet 21 years old, is two years older than ida
vagabundo [1.1K]

Answer:

whats the question you need answered?

Step-by-step explanation:

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1 year 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
1 year ago
A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
ivolga24 [154]

Answer: The charge was right.

Step-by-step explanation:

If he charged $18 per hour, it means he charged $18 for 60 minutes. He worked for 2 hours 15 minutes which is (60 ×2) + 15 = 135 minutes. For 135 mins, (135 ×18)÷ 60 = 40.5.

He drove 21 miles to his house and 21 miles back. That is 21×2= 42. And for $0.27 = $11.34.

Adding the costs, 40.5 + 11.34 = $51.84

5 0
1 year ago
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