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2 years ago

Use the Unit Circle to find the exact value of the inverse trig function.

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

5 0

Answer:

330

Step-by-step explanation:

When we are at 30 degrees on the unit circle, we are at the point ( $\sqrt3$ /2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (- $\sqrt3$ /2, -1/2).

Note: (cosine, sine)

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What is 37.04 +56.20? Show your work

Tomtit [17]

37.04
+ 56.20
----------------
93.24

6 0

3 years ago

Read 2 more answers

I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can he

UNO [17]

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

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3 years ago

Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?

Varvara68 [4.7K]

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

7 0

2 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

You purchased a new car for 17,999 in the year 2015. It is now 2020 and you want to sell your car for a fair price. If your car

salantis [7]

Answer:

$7,986.25

Step-by-step explanation:

We can use the following formula to solve:

$A=P(1-r)^t$

P = principal value

r = rate (decimal)

t = time (years)

First, change 15% into a decimal:

15% -> $\frac{15}{100}$ -> 0.15

Since 2015 and 2020 are 5 years apart, we will use 5 for t. Now, plug the values into the equation:

$A=17,999(1-0.15)^5$

$A=7,986.25$

Your car would be worth $7,986.25

8 0

3 years ago