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Ostrovityanka [42]
4 years ago
5

Find the surface area of each figure to the nearest tenth.

Mathematics
1 answer:
Stells [14]4 years ago
7 0
For the cylinder on the left-hand-side,

\bf \textit{surface area of a cylinder}\\\\
S=2\pi r(h+r)\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=10\\
r=5
\end{cases}\implies S=2\pi (5)(10+5)

now, for the triangular prism on the right-hand-side,

notice is really just 2 triangles and 3 rectangles, stacked  up to each other at the edges.

the triangles have a base of 4, and a height of 1.5.

the rectangle on the left and the one on the right is a 6x2.5 rectangle.

the rectangle at the bottom, is a 4x6 rectangle.

adding their areas, is the area of the prism,

\bf \stackrel{two~triangles}{2\left[\cfrac{1}{2}(4)(1.5)  \right]}+\stackrel{left-right~rectangles}{2(6\cdot 2.5)}+\stackrel{bottom~rectangle}{4\cdot 6}
\\\\\\
6~~+~~30~~+~~24
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Byron bought 1.9 of banannas and 11/12 pounds of grapes. how many more pounds of bananas did he buy
Genrish500 [490]

Answer:

11/12

Step-by-step explanation:

I took 1.9 and turned it into a fraction and the fraction is 1 9/12 so if you have 11/12 and 1 9/12 then you bought 10/12 more pounds of banana than grapes

5 0
3 years ago
Calculate the area of the shaded region between the regular polygons. Round to the nearest hundredth.
wolverine [178]

Answer:

I hope I'll help you with this but I am not sure of it all...

The area of the shaded region is 46,77

Step-by-step explanation:

To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.

The formula to calculate the area of a hexagon is (3√3 s2)/ 2

(where s = one side of the hexagon)

if one side a the little white hexagon equals 6 ft;

3√3 6ft.2/2 = 18√3/2 = 9√3

now for the bigger hexagon where one side is 12 ft;

3√3 12 ft.2/2 = 72√3/2 = 36√3

now the area of the bigger one minus the area of the smaller one;

36√3 - 9√3 = 46,77

3 0
3 years ago
In the diagram below AB is parallel to CD what is the value of y?
Ilya [14]
Y° = y₁° (opposite or Vertical angles), but y₁ = 45° corresponding angles,


then y = 45°
5 0
3 years ago
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Four times Audrey’s age plus 7 is Patricia’s age. Patricia is 23. What is Audrey’s age
babymother [125]

Answer: 4

Step-by-step explanation:

I think the answers correct because, If they give us pactricia's age and it's 23, then we have to subtracct 7 and divide by 4. First of all 23 minuts 7 equals 16, then we divide 16 by 4 and that equals 4 and you got your answer.

Hope This Helps!

8 0
3 years ago
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Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle
pashok25 [27]

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.


\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
2(30)=B\implies \blacktriangleright 60=B \blacktriangleleft

7 0
3 years ago
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