Question

Math question please show work due today last day to submit Assignments or I fail please help

Answer 1

A. 41

B. 1,590

C. .1

Explanation:

A.

the equation is l*w=A

9.2*4.5=A

41.4=A

rounded it would be 41

B.

the equation is pi*r^2=A

3.14*22.5^2=A

3.14*506.25=A

1,589.6=A

^round this up to get 1,590

C.

what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)

.5*.2/2=A

.1/2=A

.05=A

.05+.05=0.1

Answer 2

`\text{a. }41.4\:\mathrm{m^2},\\\text{b. }1590.4\:\mathrm{cm^2},\\\text{c. }0.1\:\mathrm{m^2}`

Explanation:

Part A:

The figure implies a rectangle. The area of a rectangle with base
`b` and height
`h` is given by
`A=bh`.

What we're given:

• 
  `b` of 9.2
• 
  `h` of 4.5

Therefore, the area of the rectangle is
`9.2\cdot 4.5=\boxed{41.4\:\mathrm{m^2}}`

Part B:

The figure shows a circle. The area of a circle with radius
`r` is given by
`A=r^2\pi`. In the figure, the diameter is marked as 45 cm. To find the radius, we must divided this by 2, because by definition, the radius if half the diameter. Therefore,
`r=(45)/(2)=22.5\:\mathrm{cm}` and the area of this circle, rounded to the nearest tenth, is
`22.5^2\pi=1590.43128088\approx \boxed{1590.4\:\mathrm{cm^2}}`

Part C:

The figure shows a triangle (polygon with three sides). The area of a triangle with base
`b` and height
`h` is given by
`A=(1)/(2)bh`.

What we're given:

• 
  `b` of 0.4
• 
  `h` of 0.5

Substituting given values, we get:

`A=(1)/(2)\cdot 0.4\cdot 0.5=\boxed{0.1\:\mathrm{m^2}}`