The structure makes a right triangle with the hypotenuse of 23 ft.
To find the height of the can we need length along y or...
sin(31 degrees) x 23 ft = 11.85 ft approx.
answer: 11.85 ft approx.
<span> a(b – c) if a = -8, b = 12, and c = 4
</span><span> = -8(12 – 4)
= -8 (8)
= -64</span>
Answer:
The average rate of change is 12x=12.0x.
Description:
Function: x= 1x = 3 convert to short form: x 1x 3
Interval: x= 1 , x 3
Steps:
Input: Find the average rate of change of f(x)=3x2 on the interval [x,3x].
We have that a=x, b=3x, f(x)=3x2
Thus, f(b)−f(a)b−a=3((3x))2−(3(x)2)3x−(x)=12x.
Answer: the average rate of change is 12x=12.0x.
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<em><u>Hope this helps.</u></em>
<h2>
Answer:</h2>
The difference in the cost for a one-night stay with and without breakfast is:
$ 23
<h2>
Step-by-step explanation:</h2>
Total cost to stay one night at sleepyhead Motel without breakfast is: $119.
and cost to stay one night at sleepyhead Motel with breakfast is: $142.
Hence, the difference in the cost for a one-night stay with and without breakfast is calculated by:
$ (142-119)
= $ 23
Hence, the answer is: $ 23
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
