A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
1 answer:
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Answer:
An ice cream cone with 5 scoops cost is, $4.5
Step-by-step explanation:
As per the statement:
An ice cream stand uses the expression to determine the cost of an ice cream cone that has x scoops of ice cream.
⇒ Cost of an ice cream cone C(x) = .....[1]
Given: x = 5 scoops
We have to find the cost of an ice cream cone with 5 scoops cost.
Substitute the given value of x =5 in [1] we have;
C(5) =
C(5) = = 2 + 2.5 = $4.5
Therefore, an ice cream cone with 5 scoops cost is, $4.5
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where models the height of the ball in meters and
the time.
Now, let's find the time when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by :
(4)
This quadratic equation can be written in the form , and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
Answer:
<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>Step-by-step explanation:
Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units
From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.
By the definition of rhombus, diagonals meet at right angles.
Implies that PQ = QA
x+2 = 3x - 14
x-3x=-14-2
-2x=-16
2x = 16
dividing by 2 on both sides, we will get,
The line segment
( since x=8)