Answer: 1 1/18
Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)
- First, you need to find a like denominator, which is 18
- Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
- Next you add them but only the numerator 15/18 + 4/18 = 19/18
- Finally, you change the the fraction into a mixed number 1 and 1/18
The diagonals of a rectangle are equal and bisect each other.
NQ= 2×5 =10
Using Pythagoras theoram,
PQ²+NP²=NQ²
4²+ NP²= 10²
NP²= 100-16
NP²= 84
NP =√84
<h3>
NP=2√21 = 9.2</h3>
he ratio of 3:1 involves 4 units. 3 men +1 woman.
Find how many people each unit represents:
4units 2476 people
Therefore each unit represents 2476/4 = 619 people per unit
Now, take the ratio, and multiply up:
3:1 => 3619:1619 => 1857:619 You check this is right by adding the two fractions:
1857 men + 619 women = 2476 people therefore, we are correct
The number of men more than women = Number of men - Number of women
= 1857-619 = 1238 and that is your answer
Answer:
x^2 +y^2 = 4y
Step-by-step explanation:
Using the usual translation relations, we have ...
r^2 = x^2+y^2
x = r·cos(θ)
y = r·sin(θ)
Substituting for sin(θ) the equation becomes ...
r = 4sin(θ)
r = 4(y/r)
r^2 = 4y
Then, substituting for r^2 we get ...
x^2 +y^2 = 4y . . . . . matches the first choice
