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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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(PLEASEE HELPP 24 points)Regina’s work to find the surface area of a square pyramid from its net is shown below. A square pyrami
Fantom [35]

Answer:

She should have used One-half (9.4) (11.9) to represent the area of a single triangle

Step-by-step explanation:

The pyramid is composed by 4 triangles and 1 square

area of the square: base² = 9.4²

area of each triangle = 1/2*base*height = 1/2*9.4*11.9

surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²

8 0
3 years ago
Which of the following is not a true bi-conditional statement?
mrs_skeptik [129]
<h3>Answer: Choice B) </h3>

Jane goes to the beach if and only if it is a sunny day.

========================================================

Reason:

A regular conditional statement is in the form "If P, then Q" where P and Q are placeholders for other statements.

For example, we can replace "P" with "it rains" and replace "Q" with "the grass gets wet". This means "If P, then Q" becomes "If it rains, then the grass gets wet".

It's hopefully clear that the example above is a one way street. It points in only one direction. The act of raining leads directly to the grass being wet. However, we cannot go in reverse. If we see the grass is wet, it doesn't mean it rained. Perhaps someone turned on a hose or sprinkler system. P leads to Q, but Q does not lead to P.

In short, all of what is mentioned so far is considered a regular conditional statement. So far we haven't addressed bi-conditional statements.

----------------

Bi-conditional statements are conditionals that work in reverse.

An example would be "If a figure is a square, then it has 4 congruent sides and 4 right angles". That conditional statement works in reverse. Therefore "If a figure has 4 congruent sides and 4 right angles, then the figure is a square" is also true simply by what it means to be a square.

So the format "If P, then Q" can be reversed to "If Q, then P" to have an equivalently true statement. The common practice is to use "if and only if" to help shorten things.

We would have the template "P if and only if  Q" which is the same as "Q if and only if P". The order doesn't matter since we can reverse things just fine.

Often you'll find bi-conditional statements when it comes to definitions. The term "weekend" literally means the day is either Saturday or Sunday, which is why choice C is another bi-conditional. A very similar situation applies to choice D as well.

--------------------

We've found that choices A, C and D are bi-conditional statements. They can be ruled out. We're left with choice B.

This is not a bi-conditional. Why not? It's assumed that Jane would go to the beach on a sunny day, but perhaps she enjoys the beach just fine on cloudy days. There's also the fact she could be doing other things on sunny days. The presence of the sun doesn't automatically mean the beach. If you said "It gets warm if and only if it's a sunny day", then I think this is more in line with a bi-conditional.

This is why <u>choice B</u> is the final answer.

6 0
1 year ago
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klemol [59]
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6</span>
5 0
3 years ago
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for a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 40 N acts on
Law Incorporation [45]

Answer:

50N

Step-by-step explanation:

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Add 2 to the 8/ms2, resulting in the second ms2, 10/ms2.

Multiply 10 by 5 for a solution of 50N.

hope this helps!;)

6 0
3 years ago
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Julli [10]
Would it not be 4:5 as a ratio?
8 0
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