How do you sketch the angle in standard position and 40 degrees

Answers

Answer 1
Answer: A 40 degree angle: go from the right positive side of the x-axis and go left (left is positive degrees) forty degrees, which is a little less than halfway in quadrant 1.

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In the first year of ownership, a new car can lose 20% of its value. If a car lost $4,200 of value in the first year how much did the car originally cost?

Answers

Original cost of the car is $21,000.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

A new car lose 20% of its value.

In first year, A car lost $4,200 of the value.

Now, Let original price of car = $x

Then, By the given condition;

20% of x = $4,200

Solve for x;

20/100 of x = 4,200

20/100 × x = 4,200

1/5 × x = 4,200

x = 5 × 4,200

x = 21,000

Thus, Original cost of the car is $21,000.

Learn more about the percentage visit:

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Using the (is/of = %/100) 4,200 is 20% of x. 4200/x = 20/100. Cross multiply and divide and you should get $21,000

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the inverse of h?

Answers

Answer:  \bold{D)\quad h^(-1)(x)=(1)/(6)(x-1)}

Step-by-step explanation:

Inverse is when you swap the x's and y's and then solve for y

y = 6x + 1

x = 6y + 1          swapped the x's and y's

x - 1 = 6y           subtracted 1 from both sides

(1)/(6) (x - 1) = y         divided both sides by 6

Let f(x)=1/x and g(x)=x^2+5x find (f×g)(x)

Answers

Answer:

(f×g)(x) = x +5.

Step-by-step explanation:

Given  : f(x)= (1)/(x) and g(x) = x²+5x.

To find : find (f×g)(x).

Solution: We have given f(x)= (1)/(x) and g(x) = x²+5x.

For (f×g)(x) = f(x) * g(x) .

Plug the values

(f×g)(x) =  (1)/(x) * x²+5x.

(f×g)(x) = (x^(2)+5x )/(x)

On taking x common from the numerator

(f×g)(x) = (x(x+5))/(x).

(f×g)(x) = x +5.

Therefore, (f×g)(x) = x +5.

just multiply
remember the distributive proeprty a(b+c)=ab+ac
(f *g)(x)=f(x)g(x)=(1/x)(x^2+5x)=(x^2/x)+(5x/x)=x+5

(f*g)(x)=x+5

How to find cos(-19pi/6)

Answers

Use the unit circle.

-19pi/6 is the same as 3pi + pi/6
This means that it goes around the unit circle 3pi times and ends up at 7pi/6

So -19pi/6 is equivalent to 7pi/6.

Looking at the unit circle, cos(7pi/6) = -√3/2

Write the equivalent percent for each fraction 13/20

Answers

13*5, since 100/20 is 5. your answer is 65
65/100 hope this helps :)

ANSWER ASAP PLEASE! What is the equation of a parabola in standard form given the directrix is y = 3 and the focus is (3,-3)?(x - _ )^2 = _y

Answers

Answer: (x - 3)^2 = -24(y + 3)

Step-by-step explanation:

To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.

Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.

The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.

-3 = 3 + p

p = -6

Substituting the values into the formula, we get:

(x - 3)^2 = 4(-6)(y - (-3))

So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).