Which of the following is an open statement?

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 24 ft wide. If

garik1379 [7]

Step-by-step explanation:

First, find the perimeter of the rectangle;

1) perimeter = 2length + 2 width

2) 2(31) + 2 (24) = 110ft

Second, find the circumference of the circle;

1) C = 2πr

2) Since the rectangle is joined to the semicircle, we can assume the diameter is equal the width (or length) of the rectangle. The radius (r) is half of the diameter. (length: r = 15.5 or width: r = 12)

So, C = 2(3.14)(15.5) = 97.32ft

or

C = 2(3.14)(12) = 75.36ft

Since it is a semicircle, we only need half of its circumference.

97.32 / 2 = 48.66

75.36 / 2 = 37.68

Finally, we are going to add up our values;

1) If the semicircle is on the length of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-31) + 48.66 = 127.66ft

2) If the semicircle is on the width of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-24) + 37.68 = 123.68ft

3 0

3 years ago

Find the sum of the equation

stealth61 [152]

Answer:

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

Step-by-step explanation:

1) Rewrite ${y}^{2}-2y+1y$ in the form ${a}^{2}-2ab+{b}^{2}$ , where a = y and b = 1.

$\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}$

2) Use Square of Difference: ${(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$ .

$\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}$

3) Factor ${y}^{2}+6y-7$ .

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

$(y-1)(y-7)$

Outcome/Result: $\frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}$

4) Rewrite the expression with a common denominator.

$\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}$

5) Expand.

$\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}$

6) Collect like terms.

$\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}$

7) Simplify ${y}^{2}+(7y+6y)-6y$ to ${y}^{2}+13y-6y$

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

5 0

2 years ago

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The side walk in front of billys house is 9'8" long.how long is the side walk in inches

prisoha [69]

There are 12 inches in a foot so
9'8" = 9*12 + 8 = 116 inches

8 0

4 years ago

What are the steps to find the lower and upper quartiles of a data set? 1. Order the values. 2. Find the median. 3. Find the low

Yuri [45]

The steps to finding the upper and lower quartiles are given in the first choice.

1. Order the data from least to greatest. If you don't do this, the data is random.

2. Find the median - you will do this so that you can find the midpoint of the data set (half of of the data is smaller and half of the data is larger).

3. Find the lower quartile - this is the half of the lower half of numbers; think of it as breaking the lower half of the data into 2 sections.

4. Find the upper quartile - this is the half of the greater half of numbers; this will break the upper half of the data into 2 sections.

8 0

3 years ago

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Will mark brainleist+20 points Find the value of x for the following triangle below.

LuckyWell [14K]

Your answer would be 135.

This is because angles on a straight line add up to 180°, and so we need to subtract 45 from 180, which gives us 135.

I hope this helps!

6 0

3 years ago

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