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3 years ago

12

Max installed a motion detector on the shed that illuminates a semicircle with a radius of 12 ft. What is the area of the yard t

hat will be lit by the motion detector light? Leave your answer in terms of π.

1 answer:

Jobisdone [24]3 years ago

5 0

You didn't give enough information. We don't know the yard size.

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The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length

guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 ) feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² = ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

So, w = - 3 feet , $\frac{7}{2}$ feet

here we consider only positive value of w i.e $\frac{7}{2}$ feet

∴ The length of rectangle = ( 2 w - 1 ) feet

or, The length of rectangle = 2 × $\frac{7}{2}$ - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0

3 years ago

Find the sixth term of the

Citrus2011 [14]

Answer:

$T_6 = 37.96875$

Step-by-step explanation:

Given

$a =5$

$r = \frac{3}{2}$

Required

Determine the 6th term

This is calculated as:

$T_n = ar^{n-1$

Where

$n = 6$

Substitute $n = 6$ , $a =5$ and $r = \frac{3}{2}$

$T_6 = 5 * (\frac{3}{2})^{6-1$

$T_6 = 5 * (\frac{3}{2})^{5$

$T_6 = 5 * (\frac{243}{32})$

$T_6 = 5 * \frac{243}{32}$

$T_6 = \frac{5 *243}{32}$

$T_6 = \frac{1215}{32}$

$T_6 = 37.96875$

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3 years ago

Multiply or divide as indicated.

Rainbow [258]

5a^2 * 6a^4

=
5*6 * a^(2+4)

so that's a
30a^6

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3 years ago

John is installing three solar panels on the roof of his house. The width of each panel is between 2 feet and 4 feet, and the le

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Estimate should be lower

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4 years ago

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Can someone explain how to solve the system of equation x+y=3 by graphing?

Bess [88]

Answer:

its not possible

Step-by-step explanation:

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4 years ago