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tangare [24]
2 years ago
9

Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden with edging that costs $0.75 per foot. About ho

w much will the edging cost?
Mathematics
1 answer:
OverLord2011 [107]2 years ago
3 0

Answer:

$2.25 is answer

perimeter of circular garden=2πr=2×π×1.5=3πfeet

1 foot=$0.75

3πfeet=3×$0.75=$2.25

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How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Fantom [35]
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
4 0
3 years ago
Find angle B and angle E
Natali [406]

Answer:

x = 9, Angles are 54°

Step-by-step explanation:

First, we need to find x:

7x-9 = 5x+9

+9 +9

7x = 5x+18

-5x -5x

2x = 18

x = 9

Now, we plug our x value in to find our angles.

5(9) + 9 = 54

Angle B = 54°

7(9) - 9 = 54°

Angle E = 54°

(angles are the same due to AAA property)

6 0
2 years ago
Write the equation in slope intercept form. what are the slope and y intercept?
VMariaS [17]

Option C  

<u> Answer: </u>

The equation in slope intercept form is -\frac{5}{12} x-\frac{11}{12}

The slope is -\frac{5}{12} and y-intercept is -\frac{11}{12}

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c    ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

-5x - 12y + 5x = 5x + 11

-12y = 5x + 11

Now on dividing -12 on both sides,

y=-\frac{5}{12} x-\frac{11}{12}     ---- eqn (3)

Comparing the given equation (3) with equation (1), we get  

m = -\frac{5}{12} and c = -\frac{11}{12}

Hence Option C is correct.

5 0
3 years ago
Help:
yKpoI14uk [10]
A 0.365 B Margaret C 1.56 D Tuesday
4 0
3 years ago
What is the slope of a line that contains the points (5, -3) and (7, 3)? *
Allisa [31]

Slope formula: y2-y1/x-x1

We can use the given points to solve.

3-(-3)/7-5

6/2

3

Best of Luck!

4 0
3 years ago
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