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Law Incorporation [45]

3 years ago

12

Brenda is laying down colored rope to mark the borders of a beach volleyball court. The length of the court must be triple its w

idth. The court needs to be 17 feet wide. How much rope will Brenda use to mark the outline of the court?

1 answer:

nalin [4]3 years ago

3 0

Try 17 times 3 I think

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Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

<u>Step-by-step explanation:</u>

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

3 years ago

You work as a quality control inspector of shirts for a clothing manufacturing company. Today you examine one batch and 15% fail

Otrada [13]

Answer:

23%

Step-by-step explanation:

To find how many failed inspection, add together all the percentages:

15 + 5 + 3

= 23

So, 23% of the products failed inspection

5 0

3 years ago

Write a real world statement for each inequality p < 200

sveta [45]

P is less than 200
im pretty sure thats it

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%286%20-%204y%29%20-%202y%20%3E%205y%20-%20153" id="TexFormula1" title="3(6 - 4y) - 2y > 5

lord [1]

Solve for Y: y < 9

I don't know if you want me to solve for Y or not

7 0

3 years ago

Which equation represents the circle described? The radius is 2 units. The center is the same as the center of a circle whose eq

Serhud [2]

Answer:

$(x-4)^2+(y-3)^2=2^2$

Step-by-step explanation:

The given circle has equation; $x^2+y^2-8x-6y+24=0$

Comparing to the general equation of the circle: $x^2+y^2+2ax+2by+c=0$

We have $2a=-8\implies a=-4$ and $2b=-6\implies b=-3$

The center of this circle is (-a,-b)=(4,3).

The required circle has radius r=2 units.

The equation of a circle, given the center (h,k) and radius r, is given by:

$(x-h)^2+(y-k)^2=r^2$

We substitute the values to obtain $(x-4)^2+(y-3)^2=2^2$

6 0

3 years ago

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