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Ivenika [448]
2 years ago
5

How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 10 foot radius?

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You must calculate the perimeter of the circle:

The radius of the circle in inches is:

radius=\frac{(10ft)(12in)}{1ft}=120in

P=2\pi(radius)\\  P=2\pi(120in)\\ P=753.98in

2. Now, you must divide the perimeter by the space between each flower to find the number of flowers needed, which you can call x:

x=\frac{753.98in}{6in}=125.6=126

The answer is: 126 flowers.

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Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
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The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5

This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
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3 years ago
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If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?
CaHeK987 [17]
Hello,

y=2x+5
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If the given values in a right triangle are cos A =
Vlad1618 [11]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
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applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
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the answer is
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Answer:

x = 7

Step by step explanation:

<em>minus</em><em> </em><em>x</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

6 = x -1

<em>add</em><em> </em><em>1</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

<em>x</em><em> </em><em>=</em><em> </em><em>7</em>

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3 years ago
Write two expressions that show that decreasing a quantity by 10% is the same as multiplying that quantity by 0.9​
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Step-by-step explanation:

x -0.1x = x(1-0.1) = 0.9x

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