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andriy [413]
2 years ago
8

Cal is creating a circular garden for his yard. The radius of the garden is 15 feet. He wants to put fencing around the garden t

hat costs $3.54 per foot. How much will the fencing cost? Explain your steps.
Mathematics
1 answer:
notsponge [240]2 years ago
7 0

Answer:

The fence will cost $333.64

Step-by-step explanation:

In order to calculate how much it'll cost to build the fence around his garden we first need to know the length of material he'll need to buy. To do that we must find the length of the circle that surrounds the garden and then multiply by the price of each foot. The length of the circle is given by:

length = 2*pi*r

length = 2*pi*15

length = 30*pi

length = 94.25 feet

The cost of the fence, is:

cost = length*(cost per foot) = 94.25*3.54

cost = 333.64

The fence will cost $333.64

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kabir spends 1/3of his pocket money on books,1/5on traveling and rest on food.if his pocket money is 450 rupees how much money d
Talja [164]

Answer:

210

Step-by-step explanation:

450 X 1/3 = 150

450 X 1/5 = 90

.

90 + 150 = 240

.

450 - 240 = 210

4 0
2 years ago
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
pshichka [43]

Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

The answer is:

\bold{c\approx 20.2\ units}

4 0
2 years ago
Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to t
ycow [4]

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our <em>x</em> is positive, we are going to the right of the x-axis (where positive values lay).

Since our <em>y</em> is negative, we are going down in the y-axis (where negative values lay).

7 0
2 years ago
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8.3.7 From the data on the pH of rain in Ingham County, Michigan: 5.47 5.37 5.38 4.63 5.37 3.74 3.71 4.96 4.64 5.11 5.65 5.39 4.
Step2247 [10]

Answer:

95% Confidence Interval: 4.7 ± 1.57

3 0
2 years ago
There are 8 soccer teams for the 110 players in the league. The league wants the same number of players on each team. Which expl
seropon [69]

Answer:

The answer is D

Step-by-step explanation:

When you divide 110 by 8 that equals 13.75 but when you divide 120 by 8 you get 15.

Hopefully this helps you :)

6 0
2 years ago
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