Answer:
Therefore the co-ordinate of the point A is (-4,-3)
Step-by-step explanation:
If A(x₁,y₁) and B(x₂,y₂) is divided by a point in ration m:n internally.
Then the co-ordinate of the point is .
Given two points are P(-7,-5) and Q(5,3).
A point A on PQ, that divides PQ into a ratio of 1:3.
Since the point A lies on the PQ.
Therefore it divides the line segment PQ internally.
Here x₁= -7,y₁= -5 , x₂= 5,y₂ =3, m=1,n=3
Therefore the co-ordinate of the point A is
=(-4,-3)
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
Sin P = 0.3
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Answer:
25 seconds
Step-by-step explanation:
Hi there!
In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.
For machine A:
For machine B:
So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:
Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:
The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>
So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.
Greetings!