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Annette [7]
3 years ago
7

What is the total surface area of the rectangular prism?​

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 =  102.4 cm^2

which agrees with the second answer option provided.

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3 years ago
Any help would be greatly appreciated
harkovskaia [24]

Answer:

<h2>the first ordered pair is (-2, -2)</h2><h2>the second ordered pair is (4,0)</h2>

Step-by-step explanation:

to find the missing values, plug in the given values into the equation:

x-3y=4

the first ordered pair:

we are given a y-value (-2), so lets plug it into the equation:

x-3*(-2)=4

now solve for the missing value:

x+6=4

x=4-6

x=-2

now plug in both x and y and check if the equation is true:

(-2)-3*(-2)=4

-2+6=4

6-2=4

4=4

the first ordered pair is (-2, -2)

the second ordered pair:

we are given a x-value (4), so lets plug it into the equation:

(4)-3y=4

now solve for the missing value:

-3y=4-4

-3y=0

y=0/-3

y=0

now plug in both x and y and check if the equation is true:

(4)-3*(0)=4

4-0=4

4=4

the second ordered pair is (4,0)

8 0
3 years ago
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Step-by-step explanation:

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3 years ago
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredient
Kay [80]

Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answer:

15

Step-by-step explanation:

We are given

Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.

The total amount of sugar he would need

2 1/2 + 1 1/4

= (2 + 1) + (1/2 + 1/4)

= 3 3/4 cups of sugar.

We need this amount of sugar in 1/4 cup scoops.

This is calculated as:

let x be the number of scoops needed

x * 1/4 = 3 3/4

x* 1/4 = 15/4 ( 3 3/4 = 15/4)

x= 15

Therefore, he would be needing 15 , 1/4 cup scoop of sugar

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3 years ago
Prove the following theorem indirectly. We will give you a start. Prove that a triangle cannot have two right angles. A triangle
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A triangle that has no two right angles is called a scalene triangle.  If the triangle has two right angles, it is called isosceles triangle. A triangle with equal sides is called an equilateral triangle.

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