Answer: Right triangle
Step-by-step explanation:
This is the shape produced by the tangent and radius to form a closed polygon
Sinα=h/L
α=arcsin(h/L)° we are told that h=18 and L=20 so
α=arcsin(9/10)°
α≈64° (to nearest whole degree)
Answer:
B. hyperbola, 45°
Step-by-step explanation:
This is rotation in quadratic equations
Perform elimination of xy term
Ax² +B xy+Cy²+Dx+Ey+F=0
Rotation of axes of the coordinates through angle θ to satisfy
Cot 2θ =(A-C)/B
But B≠ 0 and A=C=0
Answer will be hyperbola, 45°
X + y is the number of students who were surveyed.
x is the number who own a bike.
y is the number who don't.
the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y)
that ratio is 7/8.
you get x / (x + y) = 7/8
multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8
simplify to get x = 7/8 * x + 7/8 * y
subtract 7/8 * x from both sides of this equation to get:
1/8 * x = 7/8 * y
solve for x to get x = 7 * y
this means that the number of students who own a bike is 7 times the number of students who don't.
divide both sides of that equation by y to get x/y = 7/1.
that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1.
the problem states that the difference between the number who own a bike and the number who don't is 72.
this means that x - y = 72
from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get:
7 * y - y = 72
simplify to get 6 * y = 72
divide both sides of that equation by 6 to get y = 72/6 = 12
this means that the number of students who do not own a bike is 12.
since x = 7 * y, then x = 7 * 12 = 84.
this means that the number of students who own a bike is 84.
since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96.
let's see if this is right.
96 students were surveyed.
84 own a bike and 12 don't.
the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72.
the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8.
solution is 96 students were surveyed.
Answer:
1 m/s/s.
Step-by-step explanation:
Acccelaration = rate of change of speed
= (40 - 30) /10
= 10/10
= 1 m/s/s.
