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pashok25 [27]
3 years ago
15

Question

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of 7\sqrt{2}.

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

a^2+a^2=(7\sqrt{2})^{2}         [combine like terms]

2a^2=(7\sqrt{2})^2               [square root both sides]

a\sqrt{2} =7\sqrt{2}                 [divide both sides by root 2]

a=7

Now, we know that a leg is length 7, which is B.                

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Simplify each expression by using the Distributive Property and combine like terms to simplify the expression.-2(-x-1)-(x+9)
Ymorist [56]

-2(-x-1)-(x+9)

= -2x + 2 - x - 9

Rearrange

= -2x - x + 2 - 9

= -3x - 7

8 0
1 year ago
Help math sucks THESE MAKE MY BRAIN DIE​
Flura [38]

Answer:

A ∩ B = {1, 3, 5}

A - B = {2, 4}

Step-by-step explanation:

The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5, 6, 9}

One is asked to find the following:

A ∩ B,

A - B

1. Solving problem 1

A ∩ B,

The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,

A ∩ B = {1, 3, 5}

2. Solving problem 2

A - B

Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).

A - B = {2, 4}

3 0
3 years ago
Soit trois nombres consécutifs. Lorsque l’on soustrait le double du deuxième nombre du quadruple du
irina [24]

Answer:

Les trois nombres sont 5, 6 et 7.

Step-by-step explanation:

Soit x le premier nombre.

x + 1 sera le second et x + 2 sera le troisième.

On pose l'équation :

2x + 3(x + 1) = 4(x + 2)

2x + 3x + 3 = 4x + 8

5x - 4x = 8 - 3

x = 5

4 0
3 years ago
Find the measure of a central angle of a regular polygon with 10 sides
Paraphin [41]

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

Thus, we substitute n for 10, and you get:

(10-2)180=1440

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

5 0
3 years ago
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, ho
Lena [83]

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

5 0
2 years ago
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