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s2008m [1.1K]
3 years ago
8

Find the five rational number lying between square of 5/6 and 6/7​

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

Answer:

1229/1764,  1231/1764, 179/252,  1255/1754 and 185/252.

Step-by-step explanation:

(5/6)^2 = 25/36

(6/7)^2 = 36/49

LCM of 36 and 49 is 1764

So 25/36 =   25 * 49 / 1764 = 1225/1764

and 36/49  =   36 * 36 / 1764 = 1296/1764

So the 5 rational numbers could be:

1229/1764,  1231/1764, 1253/1764 ( = 179/252),  1255/1764 and 1295/1764 (= 185/ 252).

VMariaS [17]3 years ago
5 0

Answer:

71/84

Step-by-step explanation:

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How do I know if it’s similar, congruent or neither?
Phantasy [73]

Answer:

These two triangles are congruent.

Step-by-step explanation:

You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.

Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.

5 0
2 years ago
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

3 0
3 years ago
Please help me again
Vikentia [17]

Answer:

y = 10

Step-by-step explanation:

<u>Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180</u>

<u />

5y + 10 - 10 = 60 - 10

5y / 5 = 50 / 5

y = 10

Answer:  y = 10

7 0
3 years ago
$12,800 15% is taken out what's the answer
Anuta_ua [19.1K]

Answer:

$10,880

Step-by-step explanation:

15% = 15 ÷ 100 = 0.15

So 15% of 12800 = 0.15 x 12800 = 1920

Therefore, 12800 - 1920 = 10880

OR

12800 x (1 - 0.15) = 10880

7 0
2 years ago
What is are the factors of 180 that when added will equal 24?
Leya [2.2K]
You can have 30 and a negative 6. IDK. Hope it can help a bit.
4 0
3 years ago
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