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Fantom [35]
3 years ago
14

What is the surface area of this rectangular prism?

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

160cm^2

Step-by-step explanation:

So the surface area is basicly the sum of all the areas of the rectangles in this prism.

So the formula can be written as  2(wl + hl+hw).

The w stands for width, the h stands for height, and the l stands for length.

5cm is the width, 10 cm is the length, and 2 cm is the height.

So inserting all those values for the variabls the formula now looks like this.

2((5)(10)+(2)(10)+(2)(5)).

So 5*10 is <u><em>50</em></u>

2*10 is <u><em>20</em></u>

2*5 is <em><u>10</u></em>

So adding all that up we get 80.

Then multiplyong that by 2 we get 160cm^2.

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The cost of 3 burritos is $22.50. If the cost is proportional to the number of burritos ordered,which of the following prices is
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Answer:

A. 7 burritos for $51.50

Step-by-step explanation:

22.50/3=7.50

1 burrito cost $7.50

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5 burritos will cost $37.50

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The quadratic function g(x) = a.ca + bx+c has the
Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

f(x)=ax^2+bx+c

Here we know that the leading coefficient a=1 so we reduce our equation to:

g(x)=x^2+bx+c

The roots are those values at which g(x)=0

So:

x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\  49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\

Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\  49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0

So we have:

(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}

Finding c from (1):

33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

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Which fraction is equal to 30%
Nookie1986 [14]

Answer:

Step-by-step explanation:

\frac{30}{100}=\frac{3}{10}

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