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Elis [28]
3 years ago
5

One side of triangle is one-third the longest side. the third side is 11 11 feet less than the longest side. the perimeter is 73

73. find all three sides.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0
Let x represent the longest side. Then the perimeter is
.. x + (1/3)x +(x -11) = 73
.. (2 1/3)x = 84 . . . . . . . . . . collect terms, add 11
.. x = 84*(3/7) = 36

The sides are 36, 12, 25.
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What is 0.7, 0.755, 5/8 from least to greatest?
Margarita [4]
I like to start by turning all my numbers into the same form.  You can go either way but I am going to turn the decimals into fractions.  so 0.7 is the same as 7/10.

0.755 is like 755/1000 which can be reduced to 151/200  (if you don't understand the convertions let me know i will explaine more.)

Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that.  151/200 already has a denominator of 200 so that one is set.
for 7/10  well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8  8 times 25 is 200 so multiply both numbers by 25 to get 125/200  

the fractionos we have are 125/200  151/200 and 140/200.  Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.

125/200  140/200  151/200  now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7 
151/200 was 0.755
so the final answer is 
5/8, 0.7, 0.755
6 0
3 years ago
Anyone please???????
leva [86]

Answer:

\boxed{\sf B)\: x=\sqrt{17}}

Step-by-step explanation:

<u>Use the Pythagorean Theorem</u>

The equation for the Pythagorean Theorem is \tt a^2+b^2=c^2

* a and b are the lengths of the legs, and c is the hypotenuse.*

(To know which side is the hypotenuse look at longest side which is across the right angle).

a= x, b=8, c=9

\sf a^2+b^2=c^2

Let's Plug in the side lengths:

\sf x^2+8^2=9^2

Evaluate 8^2 and 9^2:

\sf x^2+64=81

Subtract 64 from both sides:

\sf x^2+64-64=81-64

\sf x^2=17

Take the square root of both sides:

\sf x=\sqrt{17}

___________________________

5 0
2 years ago
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How many ways can you arrange the letters in the word prime?
Jobisdone [24]
There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially. 
Slot 1 has 5 choices to pick from
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Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
7 0
3 years ago
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tiny-mole [99]

Answer:

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Step-by-step explanation:

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HELP ME PLS I NEED THIS !!!!
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Answer:

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Step-by-step explanation:

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