A race car travels 1212 km in 4 hours. What is the car’s rate of speed?

50 points please give step by step instruction

fenix001 [56]

Answer:

 x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

Change cos2x to 1 - 2sin^2x:

1 - 2sin^2x + 2 sinx = sin^2x

Shift the terms to make it a quadratic equation:

3 sin^2x - 2sinx - 1 = 0

Factorise the quadratic equation:

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

Solve for sin x = 1:

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

x = 90, 270 degrees

Solve for sin x = -1/3

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

x = 199.5, 340.5

Hence, x = 90, 199.5, 270, 340.5 degrees

[Sorry if I am wrong :( ]

8 0

4 years ago

A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the exp

ss7ja [257]

Answer:

The number of cars that brings the same profit is 9 and 0

Step-by-step explanation:

Given

$x^2 - 4x = 5x$

Required

Determine the possible values of x

$x^2 - 4x = 5x$

Subtract 5x from both sides

$x^2 - 4x - 5x = 5x - 5x$

$x^2 - 9x = 0$

Factorize

$x(x - 9)= 0$

Split the equation

$x = 0$ or $x - 9 = 0$

$x = 0$ or $x = 9$

Hence, the number of cars that brings the same profit is 9 and 0

5 0

3 years ago

Simplify 5 n (15 - 2). a.5n 13 b.13n 5 c.n 18

slava [35]

Answer: 5n 13, because you solve the quantity in parentheses first

4 0

3 years ago

Read 2 more answers

cuantos litros de leche se necesitan para hacer un pastel para 53 personas? Tomando en cuenta que para 25 personas se usan 1.5 l

yarga [219]

Answer:

3.12 litros de leche

Step-by-step explanation:

7 0

3 years ago

there are 8 pencils in a package.how many packages will be needed for 28 children if each child gets 4 pencils

Rudiy27

Ye he's right up there these not in correct

3 0

4 years ago