Answer:
Step-by-step explanation:
we have that
The scale drawing is

we know that
Using proportion find out the actual dimensions of the volleyball court
Let
x -----> drawing court lengths in cm
y ----> court lengths in cm
For x=40 cm

For x=80 cm

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
For x=40 cm, y=900
substitute
----->
The equation is
Answer:
If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day
will be
.
Step-by-step explanation:
From the question, it is clear that
- If ‘A’ can finish a work in ‘n’ days, then
- we have to determine the part of work finished in 1 day.
So
let '
' be the number of days
takes to complete the whole work
Let the whole job be denoted as '
'
Thus, the part of work finished in 1 day will be:

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be
.
Keywords: work, word problem
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Answer:
y=2x +1/2
Step-by-step explanation:
Answer:
221.87 feet
Step-by-step explanation:
Given that,
A 525 ft cable runs from the top of an antenna to the ground.
The angle of elevation made by the ground to the top of an antena 25°
We need to find the height of the antenna.
Using trigonometry,
Hypotenuse, H = 525 ft
θ = 25°
So,

So, the height of the antenna is equal to 221.87 feet.
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:
And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.