9514 1404 393
Answer:
15/17
Step-by-step explanation:
cos(arctan(8/15)) = 15/17
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You could assume the ratio values 8 and 15 represent the opposite and adjacent sides of a right triangle. Then the hypotenuse is ...
h = √(8² +15²) = √289 = 17
The cosine is the ratio of the adjacent side to the hypotenuse, so is ...
cos(x) = 15/17
Answer:
No
Step-by-step explanation:
substitute -2 for 'x' and 5 for 'y'
2(-2) + 5(5) = 0?
-4 + 25 = 21, not 0
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
Answer:
11.5 cm
Step-by-step explanation:
The dimensions of a right angled triangle can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
a² + 8² = 14²
a² + 64 = 196
a² = 196 - 64
a² = 132
find the square root of 132
a = 11.5 cm
Answer:
I agree with Emma
Step-by-step explanation:
above
