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ladessa [460]
3 years ago
8

Calculate the surface area help plsss

Mathematics
1 answer:
seraphim [82]3 years ago
3 0
677 mi^2

find the area of the two triangles and double them(or just not divide by two on both of them since they’re being doubled anyways) and then add the area of the bottom rectangle.
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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0
3 years ago
These figures are similar. The area of one is given. Find the area of the other. PLZ HELP
stellarik [79]

Answer:

12 in squared

Step-by-step explanation:

Since the side on the bigger figure is 6 and the smaller figure‘s side is 3, that means the smaller figure is half the size of the big figure.

So.. 24 divided by 2 is 12

6 0
3 years ago
Dolores spent $ 13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?
Veronika [31]

Answer:

In order to find the fraction of the 20 dollars that has been spent, we have to divide the amount spent by the total amount. So 0.65 is the fraction of 20 that is spent.

Step-by-step explanation:

6 0
3 years ago
A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?
SashulF [63]
For a half- life, the formula is
A(t) = A0(0.5)^( t / t_0.5)
where A(t) is the amount of substance at time t
A0 is the initial amount of subtance
t_0.5 is the time it will reduce its amount to half
t is the time

substitute the given to the formula
A(t) = 100(0.5)^( t/6 )
so the decay factor is 0.5^( t/6 )
6 0
3 years ago
Factor out the greatest common factor <br>-5x^2 - 5x^3 - 15x^4
vaieri [72.5K]
Our answer is -5x^{2} (3x^{2} +x+1)

Our greatest common factor, or GCF, is -5x^{2}, so when we factor is out, our divide each term by -5x^{2}, we get our answer. To check this, we can multiply the -5x^{2} back across the parenthesis and see if we get the same result as our initial question.

Hope this helped! :))
5 0
3 years ago
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