First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.
4w=60
w=15
Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,
3x=5y
Going to the triangle on the right its isosceles we can set up equation 2x+50=180
2x=130
x=75
Substitute this back into equation above 3x=5y
5y=3*75
y=45
Therefore
x=75
y=45
w=15
Done!
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Boo167
Helping Hand
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Step-by-step explanation:
Answer:
946
Step-by-step explanation:
Let's make an equation :
34% of x = 321.8
Covert 34% into decimal by dividing by 100 :
34 ÷ 100 = 0.34
Rewrite equation with decimal form :
0.34x = 321.8
Divide both sides by x to make x the subject :
x = 321.8 ÷0.34
x = 946.470588235
To the nearest whole number will be 946 as 4 rounds it down
So our final answer will be 946
Hope this helped and have a good day
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c
So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
A = bh
b = 7 + 4 = 11
h = 8
11(8) = 88
The correct answer is B. 88 m^2
