Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:

The most challenging task here is to express
as a proper fraction. Once that fraction is found, expressing the original number
will be as simple as rewriting a mixed number as an improper fraction.
Let
.
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by
(same as
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
Answer:
s= 15 (nearest integer), 14.8 (to nearest 10ths)
Step-by-step explanation:
here you need to apply the cosine rule,

substituting the values,
u= 13, t=5 and angle S as 60 and solving will give you the answer 14.76 (2 dp)
Answer:
85° and 95°
Step-by-step explanation:
Given that , x and x + 10 are a pair of angles .
- If they will be pair of angles on the same line , then their sum will be 180° .
=> x + x + 10° = 180°
=> 2x = 180° -10°
=> 2x = 170°
=> x = 170°/2
=> x = 85° .
<h3><u>Hence </u><u>the </u><u>two </u><u>angles</u><u> </u><u>are </u><u>8</u><u>5</u><u>°</u><u> </u><u>and </u><u>9</u><u>5</u><u>°</u><u> </u><u>.</u></h3>
Answer:
Graphically. As shown below, the roots of a polynomial are the values of x that make the polynomial zero, so they are where the graph crosses the x-axis, since this is where the y value (the result of the polynomial) is zero. The roots are the two green dots.
Step-by-step explanation: