Jon buys packages of pens for 5$ each. what is the independant variable and dependant variable in this situation

Find an equation equivalent to r=6secθ in rectangular coordinates and describe the graph of the equation.

k0ka [10]

Answer:

x = 6

Step-by-step explanation:

r = 6 sec θ

r = 6 / cos θ

r cos θ = 6

x = 6

The graph is a vertical line passing through (6, 0).

6 0

3 years ago

Whats the formula for finding circumference and area of a circle?

Vedmedyk [2.9K]

Area equals pie r square

4 0

4 years ago

Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom tw

Tresset [83]

The wording is unclear without a diagram. As such, there are two possible cases and two possible answers.

Case 1: Diagonal $\overline{DB}$ i<span><span>s formed by connecting the vertices formed by the meeting points of a 25-inch side and a 29-inch side. </span>
</span>Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. $\overline{AC}$ bisects $\overline{DB}$ , so $DE=BE=20\text{ inches}$ . Since the diagonals of a kite are perpendicular to each other, $\triangle AED$ and $\triangle CED$ are both right triangles. One has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ , but both share a leg of $20$ . Using the Pythagorean Theorem, we can get that the length of the other leg in the triangle with a hypotenuse of $29$ is $21$ . Similarly, for the triangle with a hypotenuse of $25$ , the other leg has a length of $15$ . Together, these legs make up $\overline{AC}$ , meaning $AC=21+15=36 \text{ inches}$ , our final answer.

Case 2: Diagonal $\overline{DB}$ i<span>s formed by connecting the vertices formed by the meeting points of the sides with equal lengths.
</span>Call the intersection point of $\overline{DB}$ and $\overline{AC}$ E. We will focus on two triangles, namely $\triangle ADE$ and $\triangle ABE$ . Since diagonals intersect perpendicularly, these triangles are right triangles. One of them has a hypotenuse of $29$ , and the other has a hypotenuse of $25$ . They both share a leg that is half of $\overline{AC}$ because $\overline{DB}$ bisects $\overline{AC}$ . Let $AE=y$ and the non-shared leg of the right triangle with a hypotenuse of $29$ equal $x$ . Since $DB=40$ , the non-shared leg of the other right triangle (the one with a hypotenuse of $25$ ) has a length of $40-x$ . Using the Pythagorean Theorem, we can get the equations $x^2+y^2=29^2$ and $(40-x)^2+y^2=25^2$ . These can simplify to $x^2+y^2=841$ and $1600-80x+x^2 + y^2=625$ . Isolating the term $y^2$ , we can get $y^2=841-x^2$ and $y^2=625-x^2+80x-1600$ . The latter can simplify to $y^2=-975-x^2+80x$ . Using substitution, we can combine the two equations into one and get $841-x^2=-975-x^2+80x$ . We can simplify that to $80x=1816$ , meaning $x=22.7$ . However, we are looking for $2y$ ( $y$ is only half of $\overline{AC}$ ). We can solve for $y$ using the Pythagorean Theorem and the triangle with a hypotenuse of $29$ and a leg of $22.7$ . We get $y \approx 18.05$ , meaning $\overline{AC}=2y \approx 36.1 \text{ inches}$ , our final answer.

3 0

4 years ago

Read 2 more answers

A company has developed a new battery, but the average lifetime of all of the batteries it makes is unknown. In order to estimat

uranmaximum [27]

Answer:

<h2>The answer here would be <u>Statistic</u>.</h2>

Step-by-step explanation:

In Statistics,Statistic is a term which refers to the values or estimates obtained from the sample to evaluate the actual population parameters.
In this instance,observe that the average lifetime of the sample of 500 batteries tested comes out to be 225 hours., which is used to estimate the actual average lifetime of all the batteries developed by the company,which is also the population of interest in the concerned study.
Hence,the average lifetime of the sample of 500 batteries of 225 hours is a sample Statistic which can be tested to determine the actual average lifetime of the all the batteries produced by the company.

4 0

4 years ago

(1) Write a note on advantage of using a solar cooker?

kherson [118]

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

4 0

3 years ago