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3 years ago

5

20 points. Find the surface area of the rectangular prism.

2 answers:

neonofarm [45]3 years ago

7 0

Answer:

60

Step-by-step explanation:

4 times 3 = 12 12 times 5 =60

Vsevolod [243]3 years ago

7 0

Answer:

47cm²

Step-by-step explanation:

You might be interested in

Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals $5^{10}$ or not

Take for instance:

$5^5 * 5^5$

Using law of indices:

$5^5 * 5^5 = 5^{5+5$

$5^5 * 5^5 = 5^{10$ ---- equivalent

$\frac{5^5 + 5^5}{2 * 5^{-5}}$

Factorize the numerator

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}$

Cancel out 2

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}$

Apply law of indices

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10$ ---equivalent

$125 * 78125$

Express as exponent

$125 * 78125 = 5^3 * 5^7$

Apply law of indices

$125 * 78125 = 5^{3+7$

$125 * 78125 = 5^{10$ ---- equivalent

$5^3 + 5^7$

Solve exponents

$5^3 + 5^7 = 125 + 78125$

$5^3 + 5^7 = 78250$ ---- not equivalent

4 0

3 years ago

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.

Molodets [167]

The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
If the point (x , y) translated vertically up by k units then its image is (x , y + k)
If the point (x , y) translated vertically down by k units then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ $x_{1}$ = -5 and $x_{2}$ = 3

∴ $y_{1}$ = 2 and $y_{2}$ = 5

- Substitute these values in the rule of the distance

∵ $d=\sqrt{(3--5)^{2}+(5-2)^{2}}$

∴ $d=\sqrt{(3+5)^{2}+(3)^{2}}$

∴ $d=\sqrt{(8)^{2}+(3)^{2}}$

∴ $d=\sqrt{64+9}=73$

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

#LearnwithBrainly

5 0

4 years ago

Read 2 more answers

If 4lm+3=18 then m =

Simora [160]

Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

4 0

3 years ago

What is the distance from 7 to 0? O A. 7, because 171 = 7 Jurid O B. 7, because 171 = 7 O c. 7, because |-71 = -7 O D. -7, becau

kozerog [31]

The distance from 7 to 0 is 7 because the absolute value of 7 is 7.

Correct Answer: A

7 0

1 year ago

1. Find the area of the shaded area of this figure:

statuscvo [17]

(area of square) - (area of triangle)

We know the are of a square is equal to s^2, where s is the side length.

While the are of a right angle tringle is 1/2*base*height

Then we have,

s = 10
base = 4
height = 4

(area of square) - (area of triangle)

=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92

Finally we get: 92 in^2

8 0

2 years ago