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denis23 [38]
2 years ago
6

Please answer the following questions​

Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

a) 8.8 square centimetres

b) 31.8 square centimetres

c) (3a + 12) square centimetres

d) Area = (2b + 2c + 4) square centimetres

Step-by-step explanation:

a) We have to split the diagram into three separate rectangles as shown below.

The area of A:

Area = 5.3 * 1 = 5.3 square centimetres

The area of B:

Area = 3.3 * 1 = 3.3 square centimetres

The area of C:

Area = 2 * 1 = 2 square centimetres

The area of the shape is the sum of the areas of the three shapes:

Area = 5.3 + 3.3 + 2 = 8.8 square centimetres

b) We have to split the diagram into two separate rectangles as shown below.

Note:(The diagram has conflicting values for 2.6 and 2.1 but I went with 2.6 as it seems more feasible in the diagram)

The area of A:

Area = 3 * 2.6 = 7.8 square centimetres

The area of B:

Area = 6 * 4 = 24 square centimetres

The area of the shape is the sum of the areas of the two shapes:

Area = 7.8 + 24 = 31.8 square centimetres

c) The shape is a rectangle and so its area is:

Area = 3 * (a + 4) = (3a + 12) square centimetres

d) The shape is a trapezium and so its area is:

Area = 0.5(A + B)H

where A =  c cm

B = b + 2 cm

H = 4 cm

The area of the shape is therefore:

Area = 0.5 * (c + b + 2) * 4

Area = 2 * (b + c + 2)

Area = (2b + 2c + 4) square centimetres

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Rectangle Given:1=15 m, w=6m,A=​
sashaice [31]

Answer:

90m^2 and 144 m^2

Step-by-step explanation:

Given :

Length of the rectangle (l)=15m

Width of the rectangle (w)= 6 m

Area of the rectangle can be calculated as :

A=l*w\\A=(15)(6)\\A=90 m^2

Now,

Side of square (s)=12 m

Area of the square can be find:

A=s^2\\A=12^2\\A=144 m^2

6 0
2 years ago
-5x+4y=3<br><br> x=2y-15<br><br><br> Solve for y and x
serious [3.7K]

Answer:

<em><u>x=9, y=12</u></em>

Step-by-step explanation:

-5x+4y=3 --------A

x=2y-15----------B

Putting the value of x from B in A

-5(2y-15) +4y=3

-10y+75+4y=3

-6y=3-72

-6y=-72

y=72/6= 12

Putting the value of y =12 in B

x= 2(12)-15

x= 24-15

x=9

3 0
2 years ago
Im sooo confused please help!
Harrizon [31]
So what it is asking you to do is compare the amount of oats to the other ingredients. ex, 2 cups of oats for every 0.5 cup of quinoa. just do that for the rest of them
8 0
3 years ago
What is 0.32 multiplied by 300 ??
UkoKoshka [18]
.32 multiplied by 300 is 96
5 0
2 years ago
What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
kvasek [131]

Answer:

The center of the circle is:

  • \left(a,\:b\right)=\left(14,\:-21\right)

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

\left(x-a\right)^2+\left(y-b\right)^2=r^2

here,

  • r =  raduis
  • center = (a, b)

Given the equation

\left(x-14\right)^2+\left(y+21\right)^2=64

\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}

\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2

comparing with the circle equation

\left(x-a\right)^2+\left(y-b\right)^2=r^2

Therefore, the center of the circle is:

  • \left(a,\:b\right)=\left(14,\:-21\right)

Thus, option (2) is true.

7 0
2 years ago
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