Answer:
1. Base of pyramid; 6 in by 6 in
2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.
3. twice the area of the square
4. Area = 228 inches squared
Step-by-step explanation:
For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.
<h3>Step 1. Add all surface areas together</h3>
Prism: 6 surfaces
Surface area = 216 inches sq
- Front = 6 x 6 = 36
- Back = 6 x 6 = 36
- Top = 6 x 6 = 36
- Bottom (base) = 6 x 6 = 36
- Side = 6 x 6 = 36
- Other side = 6 x 6 = 36
Pyramid: 5 surfaces
Surface area = 84 inches sq
- Bottom (base) = 6 x 6 = 36
- Front triangle = (6 x 4)/2 = 12
- Back = (6 x 4)/2 = 12
- Side = (6 x 4)/2 = 12
- Other side = (6 x 4)/2 = 12
TOTAL surface area: 216 inches + 84 inches = 300 inches sq
<h3>Step 2. Subtract surfaces that are NOT being painted</h3>
300 - base of pyramid - base of prism
300 - 2(36)
300 - 72
<u>228 inches sq</u>
Hope this helps!
Answer:
1.00304 * 10^10
Step-by-step explanation:
The first one dark blue I think
Answer:
commutative propriety of addition
Step-by-step explanation:
M+P =P+M is an example of the commutative propriety of addition
when numbers or parentheses connected by addition or multiplication switch places (commute) we have commutative propriety of addition or multiplication
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
Answer:
5unit
Step-by-step explanation: since area of rectangle = length*width
Here length is (x+2) and width is(2x+3)
(x+2)(2x+3)=91
On further solving
2x^2+75x-85=0
2x^2-10x+17x-85=0
2x(x-5)+17(x-5)=0
(2x+17)(x-5)=0
x=5unit
