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2 years ago

Find the equation in general form of the circle with center at the origin and radius equal 6.

1 answer:

3 0

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}\\
&0&0&6
\end{array}\\\\
-------------------------------\\\\
(x-0)^2+(y-0)^2=6^2\implies x^2+y^2=36$

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For an essay contest, Annika needs to write 400 words with an absolute deviation of less than 10 words. Using w as a variable, w

saw5 [17]

Answer:

The absolute value inequality to represent the situation is presented as follows;

$\left | w -400 \right |$

Step-by-step explanation:

The given information are;

The number of words Annika needs to write = 400 words

The absolute deviation of the number of words Annika needs to write = 10 words

When we let the number of words Annika write = w, we have;

The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;

$\left | w -400 \right |$

Therefore we have;

$\left | w -400 \right |$ gives the statement, -10 < w - 400 < 10.

5 0

2 years ago

Help

padilas [110]

Answer:

The answer is 100.5 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = $\pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $(\pi) (2 in^{2}) (8 in)$ .

Then, solve the equation, and the answer will be 100.5 $in^{3}$ .

8 0

2 years ago

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length

mafiozo [28]

Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16

Therefore, length = 20 meters and width = 16 meters

7 0

2 years ago

Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1

professor190 [17]

Given:

The ratio is $\dfrac{3}{1}$ .

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio $\dfrac{3}{1}$ = $\tan^{-1}\dfrac{3}{1}$

= $\tan^{-1}3$

Using scientific or graphing calculator, we get

Inverse tangent of the ratio $\dfrac{3}{1}$ = $71.565^\circ$

Round to the nearest degree

Inverse tangent of the ratio $\dfrac{3}{1}\approx 72^\circ$

Therefore, the correct option is C.

3 0

2 years ago

The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

melomori [17]

In this question, we're trying to find cost of one sandwich.

To find this, we must make a systems of equation from the given information:

We would represent sandwiches as "s" and drinks as "d".

Systems of equations:

6s + 4d = 53

4s + 6d = 47

Solve for s:

6(6s + 4d = 53)

-4(4s + 6d = 47)

36s + 24d = 318

-16s - 24d = -188

--------------------------

20s = 130

Divide both sides by s

s = 6.50

This means that one sandwich costs $6.50

Answer:

$6.50

8 0

2 years ago