Answer:
a=-18
Step-by-step explanation:
It is the same as -1a=18, so you can just transfer that negative to the other side
Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.
Answer:
y = 7
x = 12
Step-by-step explanation:
14x+7y=217, then 14x = 217 - 7y
14x+3y=189, then 14x = 189 - 3y
217 - 7y = 189 - 3y
add 7y to each side of the equation:
4y + 189 = 217
subtract 1890 from each side:
4y = 28
divide both sides by 4:
y = 7
14x + 3(7) = 189
subtract 21 from each side:
14x = 168
divide both sides by 14:
x = 12
Answer:
B
Step-by-step explanation:
You have already asked this type of question. so now you know how to do this.
6 persons means he shook his hand with 5 people.
like wise add all handshakes
5+4+3+2+1= 15 handshakes
Triangular Prism.
Hope this helped :)