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N76 [4]
2 years ago
15

A right triangle has side lengths 7, 24, and 25 as shown below.

Mathematics
1 answer:
Alla [95]2 years ago
5 0

9514 1404 393

Answer:

  • tan(A) = 7/24
  • sin(A) = 7/25
  • cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

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gizmo_the_mogwai [7]
Assuming each story is the same height
910=65 stories put together
910=65 times (height of each story)
910=65h
divide both sides by 65
14=h
each story is 14 feet

the equation is 910=65h
4 0
3 years ago
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Two consecutive positive integers have a product of 6. what are the integers
sergejj [24]

Hey there!

One way to do this is find all the factors of 6 and then see which pair fit the requirements.

The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)

You can find them by asking if each number can go into 6.

1, 2, 3, and 6 all go into 6, while 4 and 5 do not.

The requirements we have is that they must be consecutive <u>and</u> have a product of 6.

Consecutive means right after one another.

The only numbers that fit this are 2 and 3.

2 x 3 = 6

Hope this helps!

6 0
2 years ago
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The number of students in an school building that have the flu after t days is given by the function
gulaghasi [49]

Step-by-step explanation:

p(0) =  \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} }  =  \frac{800}{1 + 49}  =  \frac{800}{50}  = 16

200 =  \frac{800}{1 + 49 {e}^{ - 0.2t} }  \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t}  = 800 \\ 9800 {e}^{ - 0.2t}  = 600 \\  {e}^{ - 0.2t}  =  \frac{3}{49}  \\  ln( {e}^{ - 0.2t} )  =  ln( \frac{3}{49} )  \\ -  0.2t =  - 2.793 \\ t = 13.96 = 14

6 0
3 years ago
What is the x intercept of the line 3x+2y-10=0
Vesna [10]
To find the x int, sub in 0 for y and solve for x
3x + 2y - 10 = 0
3x + 2(0) - 10 = 0
3x - 10 = 0
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5 0
3 years ago
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Here are five number cards. 2 5 7 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6.
Lubov Fominskaja [6]

Answer:

Card 7

Step-by-step explanation:

2+5+7+8+9 =31

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31-5=26, No

31-2=29, No

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The only way to get a multiple of 6 is to subtract card 7, so card 7 is the answer.

7 0
3 years ago
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