8.02 x 10^-2 = 8.02 * 0.01 = 0.0802 <span>in standard form</span>
Step-by-step explanation:
9 apples for $4.23
Thats the answer
Answer:
Part A: 2.8 miles
Part B: 16.8 miles
Step-by-step explanation:
First, solve for how many miles Ted jogged in 1 day:
Variable x = number of miles
11.2/4 = x/1
Cross multiply
11.2 × 1 = 4 × x
11.2 = 4x
Divide both sides by 4
2.8 = x
He jogged 2.8 miles every day.
To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:
2.8 miles × 6 days = 16.8 miles in 6 days
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
We have two terms: 3x^3 and -9x
You have the correct GCF which is 3x. This GCF is factored out and placed to the left of the parenthesis, as you have done correctly so far.
Since 3x times x^2 is equal to 3x^3, this means that you have the proper first term inside the parenthesis. So far so good.
Where you make a mistake is with the second term inside the parenthesis. Notice how 3x times 2 is NOT equal to -9x
You need to fill in the blank:
3x times _________ = -9x
It turns out that -3 goes in that blank since 3x times -3 = -9x
This is why the final answer for problem 3 is 3x(x^2 - 3)
