Answer:
68
Step-by-step explanation:
Pythagorean theorem: a²+b²=c² a²=32² b²=60² c²=hypotenuse²
32²+60²=c²
1024+3600= c²
4624=c²
Now, take the square root of both sides of the equation to find c
=c
68=c
What are the other selections? I think it is right though, just making sure.
Answer: 294.4 m²
<u>Step-by-step explanation:</u>
Separate the shaded region into two parts:
- The section containing the central angle of 230° (360° - 130°)
- The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)


Area of shaded region = Area of (1) + Area of (2)
= 247.3 + 47.1
= 294.4
Answer:
$80 was on the gift card to begin with
Step-by-step explanation:
Let the initial money be x
Peter spent (1/2)*x
Peter added 10
<em>Before adding more money on the gift card Peter had x -(1/2)x left on the gift card which is (1/2)x</em>
<em>After loading more money Peter had (1/2)x + 10</em>
(1/2)x = 40 <em>(money spent by Peter)</em>
x/2 = 40
x = 80
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.