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ASHA 777 [7]
3 years ago
11

What is the length of a diagonal of a cube with a side length of 6 inches?

Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

d = 6√3 inches ≈ 10.40 inches

Step-by-step explanation:

d² = a² + c²

= 36 + 72

= 108

d = √108

= √3×36

= √3×6²

= 6√3 inches

= 6×1.73 inches

= 10.38 inches

≈ 10.40 inches

valkas [14]3 years ago
5 0

Answer:

10.4 inches

Step-by-step explanation:

To find the length of the diagonal through the cube, we use the Pythagorean theorem again with legs sqrt(72)  and 6, looking for the hypotenuse

a^2 + b^2 = c^2

6^2 + (sqrt(72)^2) = c^2

36 +72 = c^2

108 = c^2

Take the square root of each side

sqrt(108) = sqrt(c^2)

sqrt(108) = c

10.39230485 =c

Rounding to the nearest tenth

10.4 = c

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Answer:

-3x = 7 .  

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

5 0
3 years ago
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3x squared - 2 x y when x=2 and y = 5
ira [324]

the Answer is 4 do order of operations

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A milk container capacity is one gallon. how many cups would be equal?
Elza [17]
A milk container that has the capacity of one gallon is equal to a container that has the capacity of 16 cups.
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3 years ago
The base of an isosceles triangle is 9 and its perimeter 49. The base of a similar isosceles triangle is 14. What is the missing
ratelena [41]

Answer: 76.2

Step-by-step explanation:

Perimetar of isiscales triangle is calculated using  equation;

P=b+2a

b=9

P=49

lets find sides of triangle.

P-b=2a

a=(P-b)/2

a=49-9/2

a=40/2=20

If another triangle is similar that means that his base and sides are proportional to first triangle.

Base of first trianlge b₁=9

Base of similar triangle is b₂=14

use proportion to find out side of similar triangle:

b₁:b₂=9:14

a₁:a₂=9:14

a₁=20

20: a₂=9:14

a₂=14*20/9=280/9=31.1

Perimetar of second triangle is:

P₂=b₂+2a₂

P₂=14+2*31.1=14+62.2=76.2

3 0
3 years ago
Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
alexandr1967 [171]

Answer:

y = -29/19  and x = -44/19

Step-by-step explanation:

3x + 2y = -10    multiply by -2  ⇔    -6x -  4y = 20

2x - 5y = 3       multiply by 3   ⇔    <u>  6x - 15y = 9    </u>

Add the two equation                             -19y = 29

                                                                       y =  -29/19

Use equation one and solve for x

3x + 2(-29/19) = -10

3x - 58/19 = -10

3x = -10 + 58/19

3x = -190/19 + 58/19

3x = (-190 + 58)/19

  3x = -132/19

    x =  - 132/ 19 ÷3                           \frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}

    x =  -44/19

5 0
3 years ago
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