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3 years ago

11

A rectangle has a perimeter of 108 units. The length of the rectangle is 2x+8 units and the width is 3x -4 units. Find the value

of x, justify and check your solution.
BRAINLIEST WILL BE AWARDED!

1 answer:

Dmitry [639]3 years ago

8 0

The answer should be x=20

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radio station KROQ broadcast in all directions to a distance of 40 miles how many square miles are in the stations broadcast are

marshall27 [118]

$\bf \textit{area of a circle}\\\\ A=\pi r^2~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=40 \end{cases}\implies A=\pi (40)^2\\\\\\ A=1600\pi \implies A\approx \stackrel{mi^2}{5026.5}$

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Given the cosine equation y = 2cos(4x) - 1, What is the midline?

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Answer:

$y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15$

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3 years ago

Find a1, for the given geometric series. Round to the nearest hundredth if necessary. Sn= 86,830, r= 2.2, n=4

larisa86 [58]

Answer:

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Step-by-step explanation:

The sum of n terms of geometric sequence can be calculated using formula

$S_n=\dfrac{a_1(1-r^n)}{1-r}$

In your case,

$S_n=86,830\\ \\r=2.2\\ \\n=4\\ \\a_1=?$

Substitute into the formula:

$S_4=\dfrac{a_1(1-2.2^4)}{1-2.2}\\ \\86,830=\dfrac{a_1(1-23.4256)}{-1.2}\\ \\-104,196=a_1(-22.4256)\\ \\22.4256a_1=104,196\\ \\a_1=\dfrac{104,196}{22.4256}\approx 4,646.30$

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castortr0y [4]

Answer:

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Step-by-step explanation:

there are 5 white marbles, 4 yellow marbles, and 2 green marbles.

there are 11 marbles in total, and 4 yellow marbles

the probability of her selecting a yellow marble is 4/11

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Step-by-step explanation:

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