How do I fine x to the nearest tenth ??

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Answer:

x = 13.6

Step-by-step explanation:

Here, we want to find the value of x

to find the value of x. we are going to use the sine rule

It states that the ratio of the sine of an angle to the measure of the side facing the angle is fixed for a triangle

In this case;

11/ sin 27 = x/ sin 34

x = 11 sin 34/sin 27

x = 13.6

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QUICK!!! PLEASE HELP!!! 50 points.. and BRAINLIEST FOR THE QUICK AND CORRECT ANSWER.

faust18 [17]

Answer: $e=-50|t-40|+2000$

The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.

Step-by-step explanation:

Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.

Then, total time taken to reach the peak = (Distance) ÷ (speed)

= (2,000 feet) ÷ ( 50 feet/minute)

= 40 minutes

Then, as the car moves down to the hill’s base, its elevation drops at the same rate.

The equation that models the cable car’s elevation, e, after t minutes is

e= (constant rate)|t- time to reach peak |+ Peak's height

$e=-50|t-40|+2000$

When the cable car’s elevation will be 750 feet after minutes, then we have

$750=-50|t-40|+2000\\\\\Rightarrow\ -50|t-40|=750-2000\\\\\Rightarrow\ -50|t-40|=1250\\\\\Rightarrow|t-40|=-\dfrac{1250}{50}\\\\\Rightarrow|t-40|=-25\\\\\Rightarrow t-40=-25\text{ or }t-40=25\\\\\Rightarrow t=-25+40\text{ or }t=25+40\\\\\Rightarrow t=15\text{ or }t=65$