Answer:
80 degrees
Step-by-step explanation:
100 + angle A = 180
180-100= 80
So, the measure of angle A is 80 degrees
If we see an equation in the form y=mx+c (where m and c are just some numbers), but the important thing is that the left hand side is "y" and not "2y" or "3y", then the m is the slope.
So y=5x+7 has a slope of 5 (the number before the x)
And y=2x+7 has a slope of 2 (the number before the x)
So as you move from left to right, the one with greater slope will increase y value faster. Just like if you were climbing two mountains. If you went for 1 kilometre up a really steep mountain, you would be higher up than if you went for 1 kilometre up a less steep mountain.
Another way of saying this is that by changing an equation from slope 5 (steep) to slope=2 (less steep), then "It will increase at a slower rate than before"
Answer B
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
Answer:
GH = 6 units
Step-by-step explanation:
Calculate GC using Pythagoras' identity in right triangle GCE
GC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
GC = 
= 15
GH + HC = GC ← HC is the radius of the circle and HC = 9, thus
GH + 9 = 15 ( subtract 9 from both sides )
GH = 6
we know that a has to be a number less than 0 and c has to be a number greater than 0. so a has to go before the number 0 and b can go before or after 0, as long as it satisfies the equation
