Answer:
Step-by-step explanation:
975,204 can be re-written in expanded form as follows:
9*100000 + 7*10000 + 5*1000 +2*100 + 4*1
Answer:
2,57 * 10^5 or 257000
Step-by-step explanation:
(5,14 * 10^9) / (2 * 10^4) =
2,57 * 10^5 =
257000
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!
You know that a perfect square trinomial is given by square of first term, twice the product of first and last terms and square of second term
So we have x^2 that is square of x, 2x that is twice the product of x*1, the second term shoulf be 1, that is square of 1
So your answer would be 1
If you try (x+1)^2 = x^2+2x+1