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Solnce55 [7]
3 years ago
14

Find this awnser and ur the best​

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
7 0

Answer:

1)Perimeter=23.20 cm

 Area = 32.96 cm^{2}

2)Perimeter= 32.93 m

  Area= 77.70 m^{2}

Step-by-step explanation:

<em>1) The above problem can be broken in 2 parts, rectangle with 3 sides and a semicircle.</em>

The perimeter can be given as, for rectangle,

= (2)(6.2) + 2(2.1) = 16.6 cm

The perimeter of semicircle can be given by,

=\pi (R) = \pi (2.1) = (\frac{22}{7})(2.1) = 6.6cm

Thus, the total perimeter is = 16.6 + 6.6 = 23.2

The area can be found as, for rectangle,

= (6.2)(4.2) = 26.04 cm^{2}

for semicircle,

= \frac{\pi(R^{2})}{2} = \frac{\pi((2.1)^{2})}{2} = 6.9237cm^{2}

Thus, the total area is = 26.04 + 6.9237 = 32.9637cm^{2}

2)<em> This figure can be broken into semicircle and triangle with one side open.</em>

The perimeter is given by, of triangle,

= (2)(7.9) = 15.8 m

of semicircle,

= \pi (R) = \pi (5.45) = 17.1285m

Thus, the total perimeter is = 17.1285 + 15.8 = 32.9285m

The, total area is given by,

A = area of triangle + area of semicircle

A = (\frac{1}{2})(10.9)(5.7) + (\frac{\pi(5.45)^{2}}{2}) = 31.065 + 46.632 = 77.697m^{2}  

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Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

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