Hello from MrBillDoesMath!
Answer:
5.06
Discussion:
Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,
From the law of sines
sin(120)/k = sin(20)/2 =>
sin(120) = k * ( sin(20)/2) ) (multiply both sides by "k")
k = sin(120)/ ( sin(20)/2) (divide both sides by sin(20)/2)
k = (0.866) / ( 0.171) = 5.06
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
<h2>
Answer:</h2>
The conditional statement is:
- If two lines are parallel then they lie in the same plane.
<h2>
Step-by-step explanation:</h2>
We know that a conditional statement is the statement which is written in the form of:
If p then q i.e. p → q
where p is the hypothesis of the statement.
and q is the conclusion of the statement which is based on the hypothesis.
Here we are given a statement as:
Two parallel lines lie in the same plane.
i.e. the hypothesis of the conditional statement is:
Two lines are parallel.
and conclusion is: They will lie in the same plane
( Because if two lines lie in the same plane then we can't conclude that they will be parallel )
Answer:
18/44
Step-by-step explanation:
To turn 9/22 into something over 44, we need to figure out what to multiply it by.
44 / 22 = 2.
Multiply 9/22 by 2:
9/22 * 2 = 18/44
Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
Answer:
Step-by-step explanation:
6² ÷ 23
36 ÷ 23
