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juin [17]
3 years ago
11

Is a reciprocal of an improper fraction sometimes, always, or never a proper fraction? Explain.

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
It is always because if you have an improper fraction, the larger number is always the numerator. To get a reciprocal, you flip the fraction so that the denominator is the numerator, and vice versa. If the numerator is always bigger, and you make it the denominator, it would be proper.
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Josie tells her clients to drink water when training. Drink 500 mL two hours before a training session. Drink 250 mL at the star
Citrus2011 [14]
500 before training session
250 at start of session
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5 0
3 years ago
Triangle X Y Z is shown. The length of X Y is 9, the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
nalin [4]

Answer:

y² = 9² + 19² - 2(9)(19)Cos (41°)

Step-by-step explanation:

Triangle X Y Z is shown.

The length of X Y is 9,

the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.

Law of cosines is given as:a²= b² + c² – 2bccos(A)

Applying this to Triangle XYZ, and since we are Solving for y

y² = x² + z² - 2xzCos Y

The length of X Y = x is 9,

the length of Y Z = y is 19

y²= 9² + 19² - 2(9 × 19)Cos (41°)

= y² = 9² + 19² - 2(9)(19)Cos (41°)

Option d is correct

6 0
3 years ago
Read 2 more answers
How many triangles are formed by the angles and sides-unique triangle, no triangle, or many triangle
kirill115 [55]

No triangle formed

Solution:

Given data:

One angle is 45°

Another angle is 108°

One side is 7 cm

To find how many triangles are formed for the given data.

Let the unknown side of a triangle be x°.

Sum of all the sides of a triangle = 180°

45° + 108° + x° = 180°

⇒ x° = 180° – 45° – 108°

⇒ x° = 27°

There is no such angle can be formed with 27° in the given image.

Hence there is no triangle can be formed.

3 0
3 years ago
A project has an initial cost of $60,000, expected net cash inflows of $14,000 per year for 9 years, and a cost of capital of 14
vredina [299]

Answer:

74

Step-by-step explanation:

60,000 + 14,000

ANS 14%

ANSWER: 74

6 0
3 years ago
20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at
Allisa [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, \hat{p}=32\5=0.32

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=

So, Interval would be

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Hence, Option 'c' is correct.

6 0
3 years ago
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