Answer:
B
Step-by-step explanation:
The measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is
∠ ABC = 0.5( 82 + 44)° = 0.5 × 126° = 63° → B
Answer:
y < x – 2 and y > x + 1
Step-by-step explanation:
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer:
20(pie)
Step-by-step explanation:
Since the circumference of a circle is 20 feet, the formula for circumference is 2r(pie) with r=radius
(radius)2=diameter
(diameter)(pie)
20(pie)
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:
a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c
So, this rounded to the nearest tenth would be:
21.2 meters !
