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3 years ago

If there are 12 entries in the trifecta race, how many tickets must you purchase to guarantee a win?

1 answer:

4 0

Answer: You would need to buy 1320 tickets to guarantee a win.

In a trifecta race, you have to select the correct 1st, 2nd and 3rd places in order.

Therefore, the number of possibilities would be:
13 x 12 x 11 = 1320

You might be interested in

The table shows Avery’s net worth statement.

Mariulka [41]

The current value of Avery’s car is $12,480.

<h3>Current value</h3>

First step is to calculate the Net Worth

Bank accounts $3,900

Credit card debt ($2,950)

Real estate $37,425

Student loans ($1,700)

Investments $4,600

Net worth $41,275

Second step is to calculate the current value of Avery’s car

Current value=$53,755-$41,275

Current value=$12,480

Inconclusion the current value of Avery’s car is $12,480.

Learn more about current value here:brainly.com/question/15904086

7 0

3 years ago

A triangle has an area 14.5 ft.². The base of a triangle is 8 feet. What is the height?

Virty [35]

Answer:

The height is 3.625ft.

Step-by-step explanation:

0.5x8xa=14.5

4a=14.5

a=14.5/4=3.625

7 0

3 years ago

F(x)=−2x <br> 2<br> +8x−10<br> \text{Find }f(-4)<br> Find f(−4)

Sav [38]

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

= -2(16) -32-10

= -32 -32-10

= -74

3 0

3 years ago

Please help on this...

Strike441 [17]

You can use Desmos to graph these and make your own judgment as to the intercepts and rates of increase/decrease.

The ones with a base < 1 will decrease rapidly, then slowly. The one with a base > 1 will increase slowly, then rapidly. The y-intercept is the multiplier in front of the base.

4 0

3 years ago

Let , 4 ,− 7 be a point on the terminal side of θ . find the exact values of cos θ , csc θ , and tan θ .

Makovka662 [10]

Ok, you are given a point and you need to find the exact values for $cos \theta csc \theta & tan \theta$

First thing first. We need to see if we are working with a unit circle and find the radius.

How to tell if we are working with a unit circle?
We know $x^2 + y^2 = r^2$ is a circle.

We know that to find the radius we can use the following formula:
$r^2 = \sqrt{x^2 + y^2}$

If $r^2 = \sqrt{x^2 + y^2} = 1$ we are working with a unit circle.

Lets see if it = 1.
$r^2 = \sqrt{4^2 + -7^2}$
$r^2 = \sqrt{16 + 49}$
$r^2 = \sqrt{65}$

Square both sides now
$\sqrt{r^2} = \sqrt{\sqrt{65}}$
$r = \pm 65^{\frac{1}{4}}}$

Since we squared, we have a + and a - but we disregard the - because we do not have - radii
$r = 65^{\frac{1}{4}}}$
We can also say
$r = \sqrt[4]{65}$

Ok, since r does not equal 1, we are not working with a unit circle but we have found r, which is our radius.

Now that we know the value of r, which is $r = 65^{\frac{1}{4}}}$ , we need to look at the identities of cos, csc and tan.

The identities:
$cos \theta = \frac{x}{r}$
$csc \theta = \frac{1}{y}$
$tan \theta = \frac{y}{x}$

Now that we know their identities and know the radius of our circle, we can find the exact values of cos, csc and tan.

$cos \theta = \frac{x}{r} = \frac{4}{65^{\frac{1}{4}}}$
$csc \theta = \frac{1}{y} = \frac{1}{-7}$
$tan \theta = \frac{y}{x} = \frac{-7}{4}$

The exact values for cos, csc and tan given the point (4,-7) are:
$cos \theta = \frac{4}{65^{\frac{1}{4}}}$
$csc \theta = \frac{1}{-7}$
$tan \theta = \frac{-7}{4}$

4 0

3 years ago