Answer:
8, -5, -4, 6
Step-by-step explanation:
9514 1404 393
Answer:
10°, 80°
Step-by-step explanation:
<em><u>Setup</u></em>
Let x and y represent the measures of the two acute angles in the right triangle.
From your knowledge of right triangles, you know the two acute angles are complementary:
x + y = 90
The problem statement gives you another relation:
x = 2(y + 30) . . . . twice the sum ...
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<em><u>Solution</u></em>
The second equation gives you an expression for x that can be substituted into the first equation.
(2(y +30)) + y = 90
3y +60 = 90 . . . . . . . . collect terms
3y = 30 . . . . . . . . . subtract 60
y = 10 . . . . . . . . divide by 3
x = 2(y +30) = 2(40) = 80
The two angles are 10° and 80°.
First, you need to find the amount of rate of change/slope of this equation of minutes, which is 2/3 of a ton.
We will then multiply 2/3 by 60, because we need to find how much in an hour. (60 minutes = 1 hour)
2/3 x 60 = 40
We will then multiply 40 by 24, because we need to find approximately what rate the recycling plant processes glass in a full day. (24 hours = 1 day)
40 x 24 = 960
We now have our answer:
The recycling plant processes 960 tons of glass in a whole day.
Hope this helps! :)
Answer:
D
Step-by-step explanation:
Hi there!
We can use right-triangle trigonometry to solve.
We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.
cosθ = Adjacent/Hypotenuse
We can plug in what is given:
cos(28) = A/17
Solve for 'A':
17cos(28) = <u>15.01 ft</u>
