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3 years ago

Please help me with this as soon as you can

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

9514 1404 393

Answer:

14.14

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

AC = AB×√2

AC = 10√2 ≈ 14.14

_____

The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...

d² = s² + s²

d² = 2s²

d = (√2)(√s²) = s√2

This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.

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When tossing two dice, find the probability of rolling a sum greater than 7?

Arte-miy333 [17]

12 - 7 = 5

5/12

0.416

41%

You have a 41% chance of rolling a sum greater than seven.

7 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2

sladkih [1.3K]

Answer:

2x(2x²+x+1)

Dtep-by-step explanation:

f(x) = 9x³+2x²-5x+4

g(x) = 5x³-7x+4

f(x) - g(x)

= 9x³+2x²-5x+4 - (5x³-7x+4)

= 9x³+2x²-5x+4-5x³+7x-5

= 4x³+2x²+2x

= 2x(2x²+x+1)

3 0

3 years ago

If socks sell at $3.99 per pair or 5 pairs for $15.50, how much is saved, to the nearest $0.01, on each pair by buying them 5 at

makvit [3.9K]

(3.99•5)-15.50
19.95-15.50
4.45.
You would save $4.45.

8 0

3 years ago

The sum of three consecutive numbers is 84. Write and solve a math expression in terms of n for the smallest of the three number

bagirrra123 [75]

Answer: Required expression : $(n-1)+n+(n+1)=84$

Smallest number = 27

Step-by-step explanation:

Let the three consecutive number be n-1 , n , n+1 .

Since , the sum of three consecutive numbers is 84.

$\Rightarrow\ (n-1)+n+(n+1)=84$

Remove parenthesis

$n-1+n+n+1=84$

Simplify

$3n=84$

Divide both sides by 3, we get

$n=28$

That means the three consecutive numbers would be (28-1) , 28 , (28+1)

i.e. 27 , 28 , 29.

Hence, the smallest number is 27.

8 0

4 years ago

Evaluate f(-6) for the function f(x) = 9 - 2x. a -42 b 21 c -3 d 1

Temka [501]

Answer:

b)21

Step-by-step explanation:

f(-6) = 9 - 2 × (-6) = 9+12=21

3 0

3 years ago