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EleoNora [17]
3 years ago
5

Apply the distributive property to factor out the greatest common factor. 5 6 + 3 2 = 56+32=

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer:

8 (7 + 4) = 56 + 32

Step-by-step explanation:

Greatest common factor of  56 & 32 is 8

8 x 7 = 56

8 x 4 = 32

8 (7 + 4 )

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The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!
lara31 [8.8K]

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

3 0
3 years ago
10) The scale of a map is 1 inch represents 4 miles. How many miles does 0.5 inches represent?
scoundrel [369]

Answer:

2 miles

Step-by-step explanation:

1 in=4miles

0.5 in=2miles

so divide by two on each side

7 0
2 years ago
Read 2 more answers
54 out of the 60 magazines at the bookstore are women's magazines. What percentage of the magazines at the bookstore are women's
Nataly_w [17]

Answer:

90

Step-by-step explanation:

for percentage

\frac{54}{60}×100

= 0.9×100

=90

6 0
3 years ago
(5 1/4 - 2 1/2) + (6 2/3 - 3 1/2)
Vaselesa [24]
5 11/12 is the answer
8 0
3 years ago
£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
seraphim [82]

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

4 0
3 years ago
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