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Brums [2.3K]
3 years ago
7

Give the formula for the area of the following shapes. .

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
Let's go shape by shape!

The area of a rectangle can be calculated as follows:

L * W = area where L = length and W = width

The area of a trapezoid can be calculated as follows:

\frac{( b_{1} +  b_{2})*H}{2} = area
where b1 and b2 = lengths of the base and H = height of the shape

The area of a parallelogram can be calculated as follows:

B * H = area where B = length of the base and H = height of the shape
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Alice and Bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s numb
vazorg [7]

Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.

the condition says that x-y = 1 or x-y = -1.

so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.

let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the  2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.

the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
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Answer:

Step-by-step explanation:

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2 years ago
What is 42−{(7+14)÷7}×4
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Answer:

the answer is 30

Step-by-step explanation:

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3 years ago
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Of the 28 students in class, about 65% are wearing sneakers. How many students are not wearing sneakers? Round to the nearest wh
BigorU [14]

Answer:

10

Step-by-step explanation:

Based on the given conditions, formulate: \(28 \times ( 1 - 65\% )\)

Calculate the sum or difference:\(28 \times 0.35\)

Calculate the product or quotient:\(9.8\)

Find the closest integer: 10

Answer: 10

7 0
3 years ago
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,
Romashka-Z-Leto [24]

Answer:

radius   x  = 3 ft

height   h = 23,8  ft

Step-by-step explanation:

From problem statement

V(t)  = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c)  = π*x²*h       area of cylinder = area of base + lateral area

                                              A(c)  = π*x²  +   2*π*x*h

V(h) = (2/3)*π*x³   area of hemisphere   A(h)  =   (2/3)*π*x²

A(t)  =  π*x²  +   2*π*x*h +   (2/3)*π*x²

Now A as fuction of x    

total volume   505  = π*x²*h  +  (2/3)*π*x³

h = [505 - (2/3)* π*x³ ]  /2* π*x    

Now we have the expression for A as function of x

A(x) =  3π*x² + 2π*x*h     A(x) = 3π*x² + 505  - (2/3)π*x³

Taking derivatives both sides

A´(x) =  6πx -  2πx²              A´(x) =  0         6x  - 2x²  = 0

x₁  =  0  we dismiss

6 - 2x = 0

x = 3     and   h = [505 - (2/3)* π*x³]/2* π*x

h  =  (505 - 18.84) / 6.28*3

h  = 23,8  ft

7 0
3 years ago
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