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:
No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
Step-by-step explanation:
We try to solve the equation first.
2x + 2 = x + 1
We want all variables on the left side and all numbers on the right side.
Subtract x from both sides.
x + 2 = 1
Subtract 2 from both sides.
x = -1
Check: Plug in -1 for x on both sides and see if it makes a true statement.
2x + 2 = x + 1
2(-1) + 2 = -1 + 1
-2 + 2 = 0
0 = 0
0 = 0 is a true statement, so the solution x = -1 is the correct solution.
Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.
Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
By MVT,
Moreover, 
Hence the largest possible value of f(5) is 13
Answer:
haha thanks for the points btw the answer is. h2t=th6
Step-by-step explanation:
