The answer is tan64 = 13/x :)
Answer: 5 : 3 1/8 = 8 : 5
Step-by-step explanation:
Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Answer:
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Step-by-step explanation:
Using quadratic formula, x=(-1±sqrt(1-48))/4.
x=-1/4+i*sqrt(47)/4 and x=x=-1/4-i*sqrt(47)/4
Hi there!
We can begin by solving the inequality using the positive and negative terms:
3y - 1 > 5
Add 1 to both sides:
3y > 6
Divide both sides by 3:
y > 2
Now, solve the negative:
-(3y - 1) > 5
Distribute the -1:
-3y + 1 > 5
Subtract 1 from both sides:
-3y > 4
Divide both sides by -3. REMEMBER to flip the sign.
y < -4/3
'y' has to be LESS than -4/3 and greater than 2, so:
y < -4/3, y > 2
If area then
3 x 12 = 36
1 x 3 = 3
36 + 3 = 39
area = 39 ft^2
