Answer:
h=6
Step-by-step explanation:
To find the volume of a right angle prism-
Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft
To find the area of the cross-section, do:
3 x 3 = 9
9 ÷ 2 = 4.5 (Area of cross-section)
Since we don't know the length of h, we need do:
27^3 ÷ 4.5 = 6
Therefore 6 is h
Hope I explained it okay:)
Remember you can do anything to an equaiton as long as you do it to both sides
7x-4=5x+15
minus 5x both sides
2x-4=15
add 4 both sides
2x=19
divide by 2
x=19/2
The probability is found from a suitable table or probability calculator.
p(z < 1.3) ≈ 0.9031995154
Answer:
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Step-by-step explanation:
The acceleration of the object will be 10 m/s²
Step-by-step explanation:
Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- If y varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
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