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rjkz [21]
4 years ago
8

Refer to the scenario below to answer the following question.

Mathematics
1 answer:
baherus [9]4 years ago
8 0

Answer:

Tom's profit is 43,000.

Step-by-step explanation:

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In angle def , DF=22 and m angle f=45. Find the length of a leg. Leave your answer in simplest radical form
Levart [38]
The figure is the right triangle DEF.

In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).

Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.

Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:

DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2

Taking square roots from both sides:

=> x =  DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2

Remember, both legs have the same length.

Answer: 11√2
6 0
3 years ago
Perform the operation below using a number line. -7-(-8). ASAP. pleeease help.​
Aliun [14]

Answer:

1

Step-by-step explanation:

Calculation steps:

-7-(-8) =                  ⇒ two negatives cancel and change to positive

- 7 + 8 =                  ⇒ 8-7 = 1

1                              ⇒ answer

4 0
4 years ago
Help me please please
Yuki888 [10]

Answer:

the answer would be B I believe

6 0
3 years ago
How do you convert 41/8 and 12/1 to common denominators?
Anna [14]
Multiply 8 the numerator and denominator to the second one.
12/1
8(12/1)
96/8
Now they have the same denominators.
6 0
4 years ago
(75 POINTS) BRAINLIEST Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
kogti [31]

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

8 0
3 years ago
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