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:
15.625
Step-by-step explanation:
V=wxhxl=2.5x2.5x2.5=15.625
Cross multiply:-
3(b - 2) = (2b - 5)(b + 2)
3b - 6 = 2b^2 + 4b - 5b - 10
2b^2 - 4b - 4 = 0
b^2 - 2b - 2 = 0
b = 2.73, -0.73 Answer
The maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
<h3>Calculating Maximum speed</h3>
From the question, we are to determine how much greater the maximum walking speed of Giraffe is to that of Hippopotamus
From the give information,
The maximum walking speed, S, is given by
S = √gL
Where g = 32ft/sec
and L is the length of the animal's leg
Thus,
For a Giraffe with a leg length of 6 feet
S = √32×6
S = √192
S = 13.856 ft/sec
For a Hippopotamus with a leg length of 3 feet
S = √32×3
S = √96
S = 9.798 ft/sec
Now, we will determine how many times greater 13.856 is than 9.798
13.856/9.798 = 1.41
Hence, the maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
Learn more on Calculating Speed here: brainly.com/question/15784810
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Answer:
He can buy 10 cds
Step-by-step explanation:
125-30=95
95 divided by 9 = 10.5555555556
