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2 years ago

when the denominator of a proper fraction is 99 what do you notice about the repeating digits in its decimal form

Mathematics

1 answer:

pantera1 [17]2 years ago

7 0

Step-by-step explanation:

When the denominator of a proper fraction is 99, the decimal form repeats every 2 digits.

For example, 1/99 = 0.01010101..., and 12/99 = 0.12121212...

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Factor the sum of terms as a product of the gcf and sum. 60 + 72

liraira [26]

60+72=(12x5) +(12x6)=12(5+6)

60=12x5
72=12x6

4 0

2 years ago

If a 30-foot tree casts an 18-foot shadow, find the length of the shadow cast by a 27-foot tree.

ipn [44]

Answer:

16.2 foot shadow

Step-by-step explanation:

Let the shadow cast by 27 foot tree be x.

Using ratio and proportions,

18 / 30 = x / 27

(18 x 27) / 30 = x

x = 486 / 30

x = 16.2

8 0

2 years ago

Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

3 years ago

The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma

Amiraneli [1.4K]

In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

6 0

2 years ago

(1,46) (2,40) (3,39) (4,35) (5,30) (6,27) equation line of best fit

siniylev [52]

Answer:

ertyghujikol

Step-by-step explanation:

3456t7ujn

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2 years ago