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andriy [413]
3 years ago
14

When is the reciprocal of a fraction a whole number? Plz explain

Mathematics
1 answer:
Sati [7]3 years ago
3 0

The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).

Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)


The reciprocal of a fraction is just the same fraction
turned upside down.

-- The reciprocal of  1/5  is  5/1  or just  5 .
   (Original numerator is ' 1 '.)

-- The reciprocal of  5/25  is  25/5  or just  5 .
    (Original fraction is not in simplest form.)

--  The reciprocal of  5/7  is  7/5 , or  1 and 2/5 . 

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5 hundreds x 10 in standard form
Effectus [21]
5 hundreds is 500. So 500x10= 5000. Answer:5000
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3 years ago
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A population is normally distributed with µ = 100 and σ = 10. a sample of size 9 is selected. the probability that an individual
ASHA 777 [7]
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.

b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.

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* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.
7 0
3 years ago
The expression (secx + tanx)2 is the same as _____.
trapecia [35]

<u>Answer:</u>

The expression \bold{(\sec x+\tan x)^{2} \text { is same as } \frac{1+\sin x}{1-\sin x}}

<u>Solution:</u>

From question, given that \bold{(\sec x+\tan x)^{2}}

By using the trigonometric identity (a + b)^{2} = a^{2} + 2ab + b^{2} the above equation becomes,

(\sec x+\tan x)^{2} = \sec ^{2} x+2 \sec x \tan x+\tan ^{2} x

We know that \sec x=\frac{1}{\cos x} ; \tan x=\frac{\sin x}{\cos x}

(\sec x+\tan x)^{2}=\frac{1}{\cos ^{2} x}+2 \frac{1}{\cos x} \frac{\sin x}{\cos x}+\frac{\sin ^{2} x}{\cos ^{2} x}

=\frac{1}{\cos ^{2} x}+\frac{2 \sin x}{\cos ^{2} x}+\frac{\sin ^{2} x}{\cos ^{2} x}

On simplication we get

=\frac{1+2 \sin x+\sin ^{2} x}{\cos ^{2} x}

By using the trigonometric identity \cos ^{2} x=1-\sin ^{2} x ,the above equation becomes

=\frac{1+2 \sin x+\sin ^{2} x}{1-\sin ^{2} x}

By using the trigonometric identity (a+b)^{2}=a^{2}+2ab+b^{2}

we get 1+2 \sin x+\sin ^{2} x=(1+\sin x)^{2}

=\frac{(1+\sin x)^{2}}{1-\sin ^{2} x}

=\frac{(1+\sin x)(1+\sin x)}{1-\sin ^{2} x}

By using the trigonometric identity a^{2}-b^{2}=(a+b)(a-b)  we get 1-\sin ^{2} x=(1+\sin x)(1-\sin x)

=\frac{(1+\sin x)(1+\sin x)}{(1+\sin x)(1-\sin x)}

= \frac{1+\sin x}{1-\sin x}

Hence the expression \bold{(\sec x+\tan x)^{2} \text { is same as } \frac{1+\sin x}{1-\sin x}}

8 0
3 years ago
Line g has a slope of 7/9. Line h is perpendicular to g. What is the slope of line h ?
Gennadij [26K]

Answer:

The slope of line h is -9/7

Step-by-step explanation:

mathematically, for two lines that are perpendicular to each other, the product of their slopes is equal to -1

say we have two lines l1 and l2, the product of their slopes m1 and m2 is -1

Mathematically;

m1 * m2 = -1

now, m1 here is 7/9 , we now proceed to calculate m2

7/9 * m2 = -1

7m2/9 = -1

7m2 = -9

m2 = -9/7

8 0
3 years ago
How many degrees in a triangle
Vaselesa [24]
A triangle equals 180 degrees

3 0
2 years ago
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