Find the area of the given triangle. Round your answer to the nearest tenth.

x = 7.3

Step-by-step explanation:

We're going to use the formula for the area of a triangle:

Area = 1/2 x base x height

We can see that the height of the triangle is 10, but we don't know what the base length is.

We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.

We're using the height and the base, which are the opposite (O) and adjacent  (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).

The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.

tan (54°) = 10/x

Multiply both sides of the equation by x.

x tan (54°) = 10

Divide both sides of the equation by tan(54°).

x = 10/tan(54°)

Use your calculator to solve for x.

x = 7.265

To the nearest tenth, x = 7.3

the answer is d. (1.2, -4.7) on edgn

hope this !

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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