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bixtya [17]
3 years ago
10

The lower base of the frustum shown in the figure is a square 8ft on each side. The upper base is a square 4ft on each side. In

the altitude is 6ft, find the slant height
A- 4ft
B- 5.66 ft
C- 6 ft
D- 6.32 ft
Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0
The answer is D 6.32
S= the slant Height
Then we need to get the apothem of the lower and upper base
S^2 = (apothem of the lower base - apothem of the upper base)^2 + (height)^2 
and they would be like this:
apothem of the lower base = 8 / 2*tan(90/2) = 4 
apothem of the upper base = 4 / 2*tan(90/2) = 2 
S^2 = (4 - 2)^2 + (6)^2 
S^2 = 2^2 + 6^2 
S^2 = 4 + 36 
S^2 = 40 
<span>S = 6.32 </span>
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meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

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Marcela is registering for her college classes, which cost $105 per unit. How many units can she take to have a maximum cost of
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Answer:

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Step-by-step explanation:

In order to find the number of units that Marcela can take for her college classes, we can set up an inequality and solve for the variable.  Since each unit costs $105, we can say that 105u ≤ 1365 where u = the number of units.  The number of units multiplied by the cost per unit, must be less than or equal to $1,365.  In order to solve for 'u', we can use inverse (opposite) operations and get rid of the coefficient by dividing both sides of the inequality by 105.  1365÷105 = 13.  So, the number of units that Marcela can take must be less than or equal to 13 units.  

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Read 2 more answers
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