Answer:
arc GM = 77°
Step-by-step explanation:
full circle = 360°
arc GMH = arc GNJ, so:
arc GMH = (360°- 52°)/2 = 154°
because line MP is perpendicular to line GH, arc GM = arc MH
arc GM = 154°/2 = 77°
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
Answer:
7
Step-by-step explanation:
formula for circumference of a circle is
d
7
=
d
d = 7
Answer:
A choice.
Step-by-step explanation:
Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.
From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.
B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.
For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.