The surface area is 188.4 m²
1.) First find the area of the circle.
A = πr²
A = 3.14 (3)²
A = 3.14 (9)
A = 28.26 m²
2.) Find the area of the other circle. We need to multiply the radius (3 m) by 2 to solve for the circumference.
3 * 2 = 6 m
3.) Now solve for the circumference of the second circle.
C = πd
C = 3.14 (6)
C = 18.84 m
4.) Find the area of the rectangle. The net of a cylinder includes two circles and a rectangle.
(The circumference that was solved was for us find the area of the rectangle. We only had 7 m for one of the dimensions of the rectangle.)
Now we have 18.84 m as the length of the rectangle and 7 m as the width.
A = lw
A = 18.84 (length) * 7 (width)
A = 131.88 m²
5.) Add the area of the circle two times with the area of the rectangle.
28.26 + 28.26 + 131.88 = 188.4 m²
I hope this helps. Im not good at explaining things, especially about math :’)
In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.
Let's start with the two triangles at either end of the prism.
A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide
We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².
There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.
A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply
A = (9)(6) Area of the base
A = 54 yd² Multiply
A = (8)(9) Area of the vertical edge
A = 72 yd²
We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!
72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²
The answer is 264 yd², or answer choice C.
18parts/hour * 24hours = the hours cancel and you are left with 432parts
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Answer:
0.002
Step-by-step explanation:
The negative exponent means you need to move the decimal point back three