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Zepler [3.9K]
3 years ago
9

Use the net to determine the total surface area. The net of a prism with width 10 inches, length 5 inches, and height 7 inches i

s laid flat. 330 in2 270 in2 310 in2 350 in2
Mathematics
2 answers:
leva [86]3 years ago
6 0
We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width 
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared

The answer is 310 in2.
schepotkina [342]3 years ago
5 0

Answer:

 The answer is 310 in2

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Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.
dmitriy555 [2]

9514 1404 393

Answer:

  18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

  V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

  32·18·12 = 24·16·h

  (32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

6 0
3 years ago
If a town with a population of 1,500 doubles in size every 18 years, what will the population be 36 years from now? *
ad-work [718]

After the first 18 years, the population of 1500 will be doubled to 3000.

After the next 18 years, making 36 years total, the population of 3000 will double to 6000.

6 0
3 years ago
Read 2 more answers
-7(n - 2) + 2n = -5(n + 6)
skad [1K]

Given the expression below

-7(n-2)+2n=-5(n+6)

To find n

Open the brackets

\begin{gathered} -7(n-2)+2n=-5(n+6) \\ -7n+14+2n=-5n-30 \\ -7n+2n+14=-5n-30 \\ -5n+14=-5n-30 \end{gathered}

Collect like terms

\begin{gathered} -5n+14=-5n-30 \\ -5n-(-5n)=-30-14 \\ 0\ne-44 \end{gathered}

Since, the sides are not equal,

Hence, there is no solution

7 0
1 year ago
Bret wants to plot a graph to show the prices of different numbers of skateboards. He has to plot the following points:
Rudik [331]
From 0 to 200 at intervals of 50

7 0
3 years ago
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









4 0
3 years ago
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