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Archy [21]
3 years ago
9

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0
Sin x =  square root (2) / 2

In order for us to get for cos x and tan x, first we need to know what 
Hypotenuse, Adjacent, and Opposite sides.

sin x = opposite / hypotenuse.

adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)

cos x = adjacent / hypotenuse
tan x = opposite / adjacent..

cos x = square root (2) / 2
tan x = square root (2) / <span>square root (2)  = 1

So, </span>cos x = square root (2) / 2 and tan x<span> = 1</span>
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True or false: the median of the values 3.4, 4.7, 1.9, 7.6, and 6.5 is 4.05.
sergejj [24]

3.4, 4.7, 1.9, 7.6, and 6.5


Rearrange the numbers in ascending orders:


1.9 , 3.4, 4.7, 6.5, 7.6


⇒ The median (the number in the middle) is 4.7


Answer: False


7 0
3 years ago
Read 2 more answers
If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
zloy xaker [14]

Answer:

25

Step-by-step explanation:

Let x be the number of students in the class

15 is 60% of x

60% of x can be written as 0.6x

15 = 0.6x

Divide by 0.6 on both sides

25 = x

There are 25 students in the class

Hope this helps :)

8 0
2 years ago
Kirsten walked 230 meters in 50 seconds. What was Kirsten's speed?
choli [55]
4.6 meters per second was her walking speed
3 0
3 years ago
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ASAP! Please help me with this question!
Nonamiya [84]

Answer:

24 cm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

2304 pi = 4/3 pi r^3

Divide each side by pi

2304 = 4/3 r^3

Multiply each side 3/4

2304 * 3/4 = 4/3 r^3 * 3/4

1728 = r^3

Take the cube root of each side

1728 ^ 1/3 = r^3 ^ 1/3

12 = r

We want the diameter

d = 2*r

d = 2*12

d = 24

7 0
3 years ago
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Mark wants to improve his free throw percentage in basketball He has shot 1,250 free throws over the last 20 days. He shot eithe
Sedaia [141]
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20

We also know that he shot total of 1250 shots:
50a + 100 b = 1250

We have two equations. We can solve them for a and b.  Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15

Mark shot 100 shots on 5 days.
4 0
3 years ago
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