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Helen [10]
3 years ago
11

A triangle has sides with lengths of 3 feet, 6 feet, and 8 feet is it a right triangle?

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

Solution,\\Longest~side(h) = 8ft.\\Perpendicular(p) = 3ft.\\Base(b) = 6ft.\\Now, \\h^2 = (8)^2 = 64sq.ft.\\p^2+b^2 = 3^2+6^2 = 9+36 = 45sq.ft.\\Since, h^2\neq p^2+b^2, ~the~triangle~is~not~a~right~triangle.

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The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
3 years ago
X-20 = y+20<br>2Y - 44 = X + 22<br>​
nordsb [41]

X-20 = Y+20........    X-Y = 20+20........

X-Y = 40

AND

2Y-44=X+22.............   Y-X= 44+22

Y-X=66

NOW, LET'S FIND X AND Y FROM THESE TWO EQUATIONS....

X-Y =40

Y-X= 66

IF WE COLLECT .......     2Y = 106 AND Y = 53

THEN, USE Y IN ANY EQUATIONS FOR FINDING X

X-53 = 40 ..... X= 53+40 .......... X= 93

X= 93

Y=53

8 0
3 years ago
A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
3 years ago
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julsineya [31]

Answer:

4/2, 2/7, 1/2, 5/6 is your answer

8 0
3 years ago
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Answer:

do you go to garcia middle school 9 feet is the answer

Step-by-step explanation:

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3 years ago
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