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2 years ago

Will give brainliest if u help!!! Thank you!

Mathematics

1 answer:

Gnesinka [82]2 years ago

4 0

So the slop intercept equation is y= mx+b, so you take the 1/2x and plot it on the X axis. then since the slop is 1, you go over one, up one. and then that is how you graph the equation.

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Find a rectangular equation. X = 3tan t, Y = 2sec t, for in (−π /2 , π /2 )

anzhelika [568]

Answer:

Step-by-step explanation:

$x= 3tan(t) \rightarrow tan(t) = \frac{x}{3} \rightarrow tan^2(t) = \frac{x^2}{9}$

$y= 2sec(t) \rightarrow sec(t) = \frac{y}{2} \rightarrow sec^2(t) = \frac{y^2}{4}$

$sec^2(t) -tan^2(t) =1$

$\frac{y^2}{4} -\frac{x^2}{9} =1$

is the rectangular equation of the parameter functions.

also, it is a hyperbola. The condition $-\pi/2 < t$ limit x from 0 to infinitive

7 0

3 years ago

In how many different ways can 5 books be arranged on a shelf?

lions [1.4K]

Permutation:

5! = 5 * 4 * 3 * 2 * 1 = 120

7 0

3 years ago

there are 82 people in a survey who like vanilla ice cream. if 2 out of every 5 people surveyed like vanilla ice cream, how many

Anton [14]

82 / (2/5) = 82*5/2 = 205 people

7 0

3 years ago

A motor club has estimated that a 325 mile car trip will take 6 1/2 hours. What is the club assuming to be the average speed mil

In-s [12.5K]

<u>Answer: </u>

The average speed that the club is assuming is 50 miles per hour

<u>Solution: </u>

We know that Distance = Speed × Time.

Here it is given that distance is 325 miles and the time to cover 325 miles is $6_{2}^{1}$ hours which is equal to $\frac{13}{2}$ hours.

Now to find the average speed mile per hour we use the formula

$\begin{aligned} \text { Speed } &=\frac{\text { Distance }}{\text { time }} \\ &=\frac{325}{\frac{13}{2}} \\ &=\frac{325 \times 2}{13} \end{aligned}$

By cancelling 325 by 13 we get 25

= 25 × 2

= 50 miles per hour

Thus the average speed that the club is assuming is 50 miles per hour.

3 0

3 years ago

Which explanation can be used to informally derive the formula for the volume of a cone?.

Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

6 0

2 years ago