Answer:
(a) v = 1536640/ m^2.
(b) (i) 1186 m/s.
(ii) 52.4g .
Step-by-step explanation:
(a) The equation is v = k / m^2 where k is the constant of variation.
When m = 49, v = 640 so 640 = k / 49^2
k = 640 * 49^2
= 1,536,640.
Therefore the relation is v = 1536640/ m^2.
(b) (i)
When m = 36g, the speed v = 1536640 / 36^2
= 1186 m/s.
(ii) When the speed is 560 m/s :-
560 = 1536640 / m^2
m^2 = 1536640 / 560
= 2744
mass m = √2744
= 52.4g
Answer:
a)

b)

c)

d)

e)

f)

Step-by-step explanation:
<em>" A fraction in which the numerator is greater than the denominator "</em>
We have to change each of the mixed fraction into improper fraction:
We know that the mixed fraction is converted into fraction as:

a)
could be written as:

b)


c)


d)


e)

f)

Answer:
110°
Step-by-step explanation:
The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).
Therefore:
∠4 and ∠6 are consecutive interior angles. Hence:
∠4 + ∠6 = 180° (sum of co-interior angles)
∠4 + 70 = 180
∠4 = 180 - 70
∠4 = 110°
Answer: 3x²-3y²+8xy
Step-by-step explanation:
When you multiply two factors, you want to use the FOIL method.
First
Outer
Inner
Last
(x+3y)(3x-y) [distribute by FOIL]
3x²-xy+9xy-3y² [combine like terms]
3x²+8xy-3y² [rewrite]
3x²-3y²+8xy
Now, we know the product is 3x²-3y²+8xy.
Answer:
Step-by-step explanation: 37/ 24 =1 13/24 = 1.5416667