Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
C.35⁰
Step-by-step explanation:
C= 180⁰-145⁰= 35⁰
Answer:
Up to 5 hours
Step-by-step explanation:
<u>Given:</u>
- One off fee = $46
- Hourly rent = $6.4 / hr
- Amount limitation= $78
<u>Equation to reflect the condition:</u>
- 78 = 46 + 6.4t
- 6.4t = 78 - 46
- 6.4t = 32
- t = 32/6.4
- t = 5 hours max
So, the meeting room can be rented for up to 5 hours with $78
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
- 2x²-8x+6=0
- x²-4x+4=1
- (x-2)²=1
- x-2=1 ⇒ x= 3
- x-2= -1 ⇒ x= 1
If you would like to know how many kilometers did Kelly jog that week, you can calculate this using the following steps:
Morgan: 51.2 kilometers
Kelly: Morgan - 6 kilometers = 51.2 - 6 = 45.2 kilometers
The correct result would be 45.2 kilometers.
