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Fofino [41]
4 years ago
6

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If

the gardener wants to build a fence around the garden, how many feet of fence are required?
(Use the value for 3.14 , and do not round your answer. Be sure to include the correct unit in your answer.)
Mathematics
1 answer:
vekshin14 years ago
7 0

Answer:

133 ft

Step-by-step explanation:

Given in the question,

length of the rectangle = 31 ft

width of the rectangle= 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

Formula to use:

<h3>perimeter of rectangle + perimeter of semicircle</h3>

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

Plug values in the formula above

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

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yuradex [85]
The problem above uses the concept of ratio and proportion. The ratio between the cost and amount of the organic milk should always be equal. The proportion between two cases is shown below, 
                        ($2.52 / 0.5 gallon) = (x / 4 gallons)   
Solving for x gives x = 20.16. Therefore,  4 gallons of organic milk costs $20.16. 
7 0
3 years ago
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Write and solve an equation to find the value of x and a missing angle in the triangle below.
Arturiano [62]

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

5 0
3 years ago
If a hiker starts at sea level and increases her elevation at a rate of 1 foot per minute what will her elevation be in 20 minut
sattari [20]

Answer:

20 feet above sea level.

Explanation:

This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.

With this rate, after 20 minutes, the elevation can be shown as:

20 min × 1 foot= 20 feet.

4 0
3 years ago
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Select the favorable Outcomes for rolling double sixes
ira [324]
We want double sixes. This means that we want both the first roll and the second roll to be 6.

The given point is given as (r1 , r2) where:
r1 is output from first roll
r2 is output from second roll

Since we want both outputs to be 6, therefore, the answer would be: (6,6)
4 0
4 years ago
The standard form of the equation of a parabola is y= x2 - 8x + 29.
fomenos

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

7 0
3 years ago
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