One angle has 60 degrees, the other angle has 30 degrees.
60 divided by 30 = 2.
and 60 + 30 = 90.
Answer:
x = 404.83
Step-by-step explanation:
The given expression is :
19,432÷x=48 ...(1)
We need to find the value of x.
Cross multiplying both sides,
Dividing both sides by 48
So, the value of x is 404.83.
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
they purchased 40 tickets
Step-by-step explanation:
they already spent 10 to get in the fair and 0.25 × 40 = 10 so 10 +10 =20
