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saw5 [17]
4 years ago
5

Two semicircles are attached to the sides of a rectangle as shown.

Mathematics
2 answers:
Tatiana [17]4 years ago
7 0
Ok so this answer is 194 try an do it you will get this answer
iragen [17]4 years ago
5 0

Answer:

194\ ft^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the rectangle plus the area of one circle (Remember that the area of two semicircles is equal to the area of one circle)

step 1

Find the area of rectangle

The area of rectangle is equal to

A=bh

we have

b=8\ ft

h=18\ ft

substitute

A=8*18=144\ ft^{2}

step 2

Find the area of one circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=8/2=4\ ft

\pi=3.14

substitute

A=(3.14)(4^{2})=50.24\ ft^{2}

step 3

Find the area of the figure

144\ ft^{2}+50.24\ ft^{2}=194.24\ ft^{2}

Round to the nearest whole number

194.24\ ft^{2}=194\ ft^{2}

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A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 5%, what is the total price of the CD, including tax?
Vedmedyk [2.9K]

Answer:

$14.28

Step-by-step explanation:

If the CD is $17 and is have a 20% off then you multiply .20 and 17 to get the amount that is off. Subtract that answer from 17 and you should get $13.60. That is the cost of the CD WITHOUT tax. To apply the tax, you multiply the cost and 0.05 (5%) to get 0.68. 0.68 is the tax cost. To get the entire cost of the CD, you add 0.68 (tax) and price (13.60) and get $14.28.

5 0
3 years ago
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nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e
Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

\text{Amount of fencing}=\text{Perimeter of square}

\text{Amount of fencing}=4a=4(11.874)=47.496

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0
3 years ago
If v1 = (2,-5) and v2 = (4,-3), then the angle between the two vectors is _________. Round your answer to two decimal places.
siniylev [52]
The angle between two vectors is given by:
 cos (x) = (v1.v2) / (lv1l * lv2l)
 We have then:
 v1.v2 = (2, -5). (4, -3)
 v1.v2 = (2 * 4) + (-5 * (- 3))
 v1.v2 = 8 + 15
 v1.v2 = 23
 We look for the vector module:
 lv1l = root ((2) ^ 2 + (-5) ^ 2)
 lv1l = 5.385164807
 lv2l = root ((4) ^ 2 + (-3) ^ 2)
 lv2l = 5
 Substituting values:
 cos (x) = (23) / ((5.385164807) * (5))
 x = acos ((23) / ((5.385164807) * (5)))
 x = 31.33 degrees
 Answer:
 
The angle between the two vectors is:
 
x = 31.33 degrees
3 0
3 years ago
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