Answer:
8
Step-by-step explanation:
Given:
To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:
31x can be written as 3x + 28x.
Take 3x common in 1st two terms and 7 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
In the same way, factorize the denominator:
8x can be written as 4x + 4x.
Take 4x common in 1st two terms and 1 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
Substitute the terms we found for numerator and denominator:
Cancel the common factors.
The simplified expression is 
.
Answer:
A. 16.55
Step-by-step explanation:
What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.
21 * sin(38)
<em>sin(38) calculates to 0.615661475.</em>
21 * 0.615661475
<em>Multiply 21 by 0.615661475</em>
side a = 12.928890975
Now to find x. Use this to find x: √21² - 12.928890975²
√21² - 12.928890975²
<em>Square both numbers</em>
√441 - 167.156221843
<em>Subtract 167.156221843 from 441</em>
√273.843778157
<em>Find the square root of 273.843778157</em>
x ≈ 16.548225831
x ≈ 16.55, so the answer is A.
Greatest- 277,299
Smallest- 277,295
Btw I did this by tens.
0.003 is 1/10 of 0.03.
Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplying by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.
