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sladkih [1.3K]
3 years ago
13

Please help!! Giving BRAINLIEST!

Mathematics
1 answer:
garri49 [273]3 years ago
3 0
Answer: D
Explanation: rad 36 is the same as rad 6^2 and they are perfect roots do then you just add the numbers like usual.
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Help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the
Anastasy [175]

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

V =side^3 = a^3

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, V' = (a+2)^3

Using the formula:

(x+y)^3 =x^3+y^3+3xy(x+y)

V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)

So, V' = V + 8+6a(a+2)

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches  -- False

Each face in a cube is a square.

Area of each face, A = side^2 = a^2

New area, A' = (a+2)^2

Using the formula: (x+y)^2 =x^2+y^2+2xy

A' = a^2+4+4a

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = a\sqrt2

Increase of 2 in the edge:

New diagonal = (a+2)\sqrt2 = a\sqrt2+2\sqrt2

So, increase of 2\sqrt2 not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges  = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + <em>24</em>

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

4 0
3 years ago
Please help! (Find the area of the shaded region)
jeyben [28]

Answer:

9.43 ft

Step-by-step explanation:

First, we need to find the area of the entire circle(shaded & unshaded), which is 12.57, with a radius of 2 ft. Next, we find the area of the white area, and NOT the shaded area, which is 3.14, with a radius of 1 ft. Now, we need to subtract the white area(3.14) from the total area(12.57), which is 9.43.

Hope this helps!

8 0
3 years ago
If the product of nine tenths and eight tenths is subtracted from the sum of seven tenths and six tenths,what os the difference?
agasfer [191]
Product = multiply
Sum = addition
So 9 tenths * 8 tenths = 72 tenths
7 tenths + 6 tenths = 13 tenths
72 tenths - 13 tenths = 59 tenths or 5 and 9 tenths.
7 0
3 years ago
An experiment consists of rolling a six sided die to select a number between 1 and 6 and drawing a card at random from a set of
Dennis_Churaev [7]

Answer:

35

Step-by-step explanation:

dice

3 0
4 years ago
What is the slope of the line that passes through the points ( 8 , − 6 ) and (8,−9)? Write your answer in simplest form.
Natalka [10]

Answer:

No slope

Step-by-step explanation:

The points given are on the vertical line x = 8

   vertical lines have an 'undefined' slope....no slope

4 0
2 years ago
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