Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Answer:
400 meters
Step-by-step explanation:
We are told in the question that:
Jake runs the 100-meter dash in
track.
Erika runs a race 400% the distance of Jake's race.
Hence, the length of
Erika's race is calculated as:
400% × 100 - meter
= 4 × 100- meter
= 400 meters
Therefore, Erika's race was 400 meters long.
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
Answer:
a. $5.43
b. $141.25
c. $8.75
Step-by-step explanation:
First you find the total amount you it cost for all the items
$135.82 + 4% = $141.25
You give three $50 dollar bills
50 * 3 = 150
$150 is the amount you give
--------------------------------------
141.25 - 135.82 = 5.43
$5.43 is the amount of the sale price
---------------------------------------
To find the amount is cost for all the items you add the sales tax + the original price
$135.82 + 4% = $141.25
$141.25 is the amount including the tax
---------------------------------------
Subtract
150 - 141.25 = 8.75
So you will get $8.75 back
A blue whale weighs more than an African elephant by 111.5 tons
African elephant= 15,000/2,000= 7.5 tons
Blue whale weighs 238,000/2,000=
119 tons
119-7.5 = 111.5 tons
