Answer:
35.0 cm (to 3 significant figures)
Step-by-step explanation:
Circumference of a circle = 2d (where d is the diameter).
Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.
Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.
To find the diagonal, we use Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right angled triangle).
From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm. So:
9² + 15² = c²
81 + 225 = c²
306 = c²
c = √306 = 3√34
Therefore, the diameter of the circle = 3√34 cm
Circumference = 2d
= 2 x 3√34
= 6√34
= 35.0 cm (to 3 significant figures)
False for every rate there is only one unit rate. there is however more than 1 rates for one unit rate. for example 4/2 would have 2/1 as a unit rate but 2/1 can have 4/2 and 8/4 as rates and so on. hope this helps good luck!
F(3)= 16. Essentially, you need to substitute 3 for x, which would look like this: 3(3) + 7. Then, by using PEMDAS/the order of operations, multiply 3 by 3 to get 9, and then add 7 to get 16.
Answer:
Step-by-step explanation:
(4/3)P -(4/3)A + A = B . . . . . . add A
(4P -A)/3 = B . . . . . . . . . . . . . simplify
Then the coordinates of point B are ...
B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3
B = (3, 7)
The correct answer would be
A football pass of 9 yards
