Apply the Pythagorean Theorem.
a^2 + b^2 = c^2
The largest side is always C.
so 8^2 + 15^2 = 17^2
64 + 225 = 289
The equation true is so it is a right triangle
Part A:
To determine the amount of money in Euros that the team will get, we use the original amount given, the proper dimensional analysis and the conversion factor. For this item,
(£135) x (€1 / £0.72) = €187.5
<em>ANSWER: €187.5</em>
Part B:
Convert first the given length of the arena's stage in centimeters by using the conversion factor, 1 m = 100 cm
(8 meters) x (100 cm/1 m) = 800 cm
Since, both sides will be occupied by 130-cm speaker,
remaining length = 800 - 2(130 cm)
remaining length = 540 cm
<em>ANSWER: 540 cm or 5.4 m</em>
<em> </em>
Interval notation(-infinitive, -4)
9514 1404 393
Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
Easy, they both add up to 180 degrees.
2a-9+5a+14=180
7a+5=180
7a=175
a=25
