Answer:
sin(-255°) = √2 + √6/4
Step-by-step explanation:
We need to find sin -255°
We know that sin(-a) = - sin(a)
so, sin(-255°) = - sin 255°
We know that 180° + 75° = 255°
Now we can write sin(255°) = sin(180° + 75°)
We can use the identity:
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
x = 180° , y = 75°
Solving,
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)
sin(180°) = 0
cos(75°) = √6 -√2/4
cos(180°) = -1
sin( 75°) = √2 + √6/4
Putting values,
sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)
sin(180° + 75°) = -(√2 + √6/4)
We know that sin(-255°) = -sin(255°)
Putting value of sin(255°)
sin(-255°) = -(-(√2 + √6/4))
sin(-255°) = √2 + √6/4
Answer:
7 percent
Step-by-step explanation:
We have the following information from the question:
The probability that a student chooses art as an elective is 15 percent: 
The probability that a student chooses art or drama is 20 percent: 
The probability that a student chooses both art and drama is 2 percent:

Recall that:

We plug in the various probabilities to get:




Hence the probability that a student chooses drama as an elective is 7 percent
Answer:
Step-by-step explanation:
1²+16²=1+256=257≠289(17²)
2²+16²=4+256=260≠17²
3²+16²=9+256=265≠17²
4²+16²=16+256=272≠17²
5²+16²=25+256=281≠17²
6²+16²=36+256=292>17²
6²+15²=36+225=261≠17²
7²+15²=49+225=274≠17²
8²+15²=64+225=289=17²
9²+14²=81+196=277≠17²
10²+14^2=100+196>289
10²+13²=100+169=269≠17²
11²+13³=121+169=290>17²
11²+12²=121+144=265≠17²
12²+12²=144+144=288≠17²
so only integer values are 8²+15²=17²
(x+4)²+(y-7)²=17²
if x+4=8
x=8-4=4
y-7=15
y=15+7=22
so q is (4,22)
if x+4=15
x=15-4=11
y-7=8
y=8+7=15
point is (11,15)
Answer:
10
Step-by-step explanation:
Answer:
Sean because zero added to anything is the same answer.
Step-by-step explanation: