The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
Answer:the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 is $15.3
Step-by-step explanation:
Let x represent the number of ccf of water that Jake uses in a month.
Jake's water bill is $24.40 per month plus $2.20 per ccf (hundred cubic feet) of water. This means that if she uses x ccf of water in a month, her total water bill would be
24.40 + 2.2x
Therefore, the maximum number of ccf Jake can use if he wants his bill to be no more than $58.00 would be
24.40 + 2.2x ≤ 58
2.2x ≤ 58 - 24.4
2.2x ≤ 33.6
x ≤ 33.6/2.2
x ≤ 15.3
Answer:
(-2, 2)
Step-by-step explanation:
<u>Given:</u>
- Point A is at (2, -8) and point C is at (-4, 7)
<u>Difference of coordinates:</u>
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
<u>The ratio of AB to AC is 2:1. So:</u>
- AB = 2*AC/3 and BC = AC/3
<u>Then coordinates of point B should be 2/3 from the point A:</u>
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
Answer:
The percentage of boys students in Jamie's class is 20 %
Step-by-step explanation:
Given as :
The total number of boys in the Jamie's class =
of the total student
Let the total number of student's in the class = x
So, The number of boys =
× x
I.e The number of boys = 
So , in percentage the number of boys students in class =
× 100
OR, % boys students =
× 100
or, % boys students =
∴ % boys students = 20
Hence The percentage of boys students in Jamie's class is 20 % . Answer
Answer:
(x-17)+(7x+5)=180
8x-12=180
8x=192
x=24
Step-by-step explanation: