Answer:
O= 90 because it is a right angle, 360 degrees (which is the whole circle) minus (50+90), equals 220.
1. x=-3 y=4 2. x=5/2 y=15/2 3. x=9/5 y=-36/5 4. x=-2 y=1
Answer:
2n-4
Step-by-step explanation:
-n-2+3n-2 (here I distributed the negative to both parts)
2n-4 (gather the like terms)
Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!
To do this, you'll have to get loris and doris to the same amount of time, we can already tell loris makes 40 bracelets in 100 minutes but we are still missing 20 minutes, so we got to do some math(Ofc we do its mathematics) if you divide 50 by 20 you'll get 2.5 which is how many minutes it takes to make a bracelet. So now we can go back to that missing 20 minutes, if you divide 20 by 2.5, you'll get 8. So in 2 hours loris makes 48 bracelets(20 + 20(50 hours each)=40 + 8(the missing 20 minutes) = 48) But here is the tricky part it says per an hour, so we need to reduce both by half, so loris makes 24 bracelets an hour and doris makes 22 bracelets an hour so loris makes 2 more bracelets and hour than doris... hope i've helped!
