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Brums [2.3K]
3 years ago
9

How do you simplify 4:420

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
Divide each ends of the ratio by 4 to find the unit rate.
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❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️
tiny-mole [99]

Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}

We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

6 0
3 years ago
Kate gave 5/6 of her CDs to Sue. Sue gave 7/8 of these to Joan. Joan gave 3/5 of these to Ann. Ann received 70 CDs how many did
olya-2409 [2.1K]
Let us assume the number of CDs Kate had = x
Number of CDs given to Sue = 5x/6
Number of CDs given to Joan = (5x/6) * ( 7/8)
                                                = 35x/48
Number of CDs given to Ann = (35x/48) * (3/5)
                                              = 7x/16
Total number of CDs Ann received = 70
Then
7x/16 = 70
x = 160
From the above deduction, it can be concluded that the number of CDs that Kate originally had was 160. I hope that this is the answer that has actually come to your help.
5 0
4 years ago
Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minu
ollegr [7]
The correct answer is B
8 0
3 years ago
684,658 round to the nearest hundred thousand
OverLord2011 [107]
700,000 is the answer I believe
8 0
4 years ago
Read 2 more answers
Which of the following transformations will not always result in a congruent image?
Scorpion4ik [409]

Answer:

Step by step

A) Dilation

6 0
3 years ago
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