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salantis [7]
3 years ago
9

What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

376.52 is the volume of the composite figure.

Step-by-step explanation:

Let's break this into two shapes.

A rectangular prism and a hemisphere

Volume Formula for rectangular prism: l • h • w

Volume Formula for hemisphere: (2/3)πr^3

l • h • w

10 • 4 • 8

40 • 8

320

Rectangular Prism: 320

(2/3)πr^3

2/3(3)^3

2/3(3.14)(27)

2.09333333333(27)

56.52

Hemisphere: 56.52

320 + 56.52 = 376.52

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An item that is on sale for 40% off costs $66. What was the item's regular price?
IRINA_888 [86]
  • <em>Answer:</em>

<em>The regular price was $110</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em />

<em>60% .......... $66</em>

<em>100% ..........$ x</em>

<em>x = 100×66/60</em>

<em>=  6600/60</em>

<em>= $ 110</em>

<em />

<em>Good luck !</em>

7 0
3 years ago
Air pressure may be represented as a function of height (in meters) above the
denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
4 years ago
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
bixtya [17]

1 blue paper chain and 2 red paper chains

7 0
3 years ago
Read 2 more answers
Someone help me!!!<br> please...
ycow [4]

Answer:students are the independent because he will get a number of cards depending on how many students there are so its

s independent and c dependent

Step-by-step explanation:

6 0
2 years ago
Which of the following is not an identity?
Shkiper50 [21]
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x 
- sin² x / sin x = - sin x
- sin x = - sin x     ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x  ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x   ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity. 
8 0
3 years ago
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