Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.
Answer:
64π inches² (approximately 201.06 inches²)
Step-by-step explanation:
where 
is the radius
To find the radius, divide the diameter by 2
16 ÷ 2 = 8 inches
Plug in 8 as the radius
(approximately)
Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².
I hope this helps!
Answer: x=-5
2x-20=-30
x-10=-15
+10 +10
x=-5
Explanation: first, you need to divide by 2 to both sides. then, add 10 to both sides.
You should get, x=-5.
The right answer is Option D.
Step-by-step explanation:
Let,
Kyle's money = x
Hayden's money = y
Jeremy's money = z
According to statements;
Kyle has three times as much money in his savings account as Hayden.
x = 3y Eqn 1
Hayden has twice as much money in his savings account as Jeremy.
z = 2y Eqn 2
Combined Kyle, Hayden, and Jeremy have a total of $612.
x+y+z=612 Eqn 3
Putting value of x and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 6
Putting in Eqn 1;
Kyle has $306 in his account.
The right answer is Option D.
Keywords: Linear equations, division
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