We are given
ax = 6.91
ay = 1.45
bx = 2.45
by = 7.02
So,
tan a→ = 1.45/6.91 = 0.2098 = ma
tan b→ = 7.02/2.45 = 2.8653 = mb
To get the angle between the two
tan θ = (mb - ma)/(1 + ma mb)
tan θ = (2.8653 - 0.2098) / (1 + (2.8653) (0.2098) )
θ = 58.91°
The x component is
x = 8.28 cos 58.91 = 4.28 m
The y component is
y = 8.28 sin 58.91 = 7.09 m
The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.
The dog will win the race.
Answer:
m<C = 113°
Step-by-step explanation:
m<A = 67° (given)
Recall: opposite angles in any inscribed quadrilateral in a circle are equal to 180° or are supplements of one another.
This implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30
