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-BARSIC- [3]
3 years ago
13

Can someone explain to my why sin(90)=1

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0
On the unit circle: the end of the terminal side of a 90 degree angle is (1,0) where 1 is the value of sin(90°) and 0 is the value of cos(90°)

On the graph of sine: 90° = \frac{ \pi }{2} radians. if f(x) = sin(x) in radians, f(\frac{ \pi }{2}) = 1/2
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Identify the k-value that makes the relationship shown in the table below proportional.​
uysha [10]

Answer:

The value of k that makes the relationship shown in the table below proportional is \mathbf{\frac{1}{2}}

Step-by-step explanation:

The relation is proportional if y=kx \:or\:k=\frac{y}{x}

Putting values of x and y to find k.

For x =2 and y =1 k is: k=\frac{y}{x}=\frac{1}{2}

For x =4 and y =2 k is: k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}

For x =6 and y = 3 k is: k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}

For x = 8 and y = 4 k is: k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}

For x =10 and y = 5 k is: k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}

So, The value of k that makes the relationship shown in the table below proportional is \mathbf{\frac{1}{2}}

5 0
3 years ago
I need help with Geometry and volume
diamong [38]
Whats the question? we cant help you if you dont give us the question.

4 0
2 years ago
Perimeter ILL MARK BRAINLY
Kipish [7]

Answer:

The perimeter is 24 in2

Step-by-step explanation:

You have to add up all of the sides together

8 0
2 years ago
Read 2 more answers
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
I need a tutor, <br> Could anyone be of some help for me??
shepuryov [24]
If you need any help whatsoever, I would love to help.
5 0
3 years ago
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