Answer:
(-12, -10)
Step-by-step explanation:
Midpoint M is the average of endpoints A and B:
M = (A +B)/2
2M = A + B . . . . . . multiply by 2; next, subtract A
B = 2M - A . . . . . . the missing endpoint can be found this way
B = 2(-8, 0) -(-4, 10) = (2(-8)+4, 2(0)-10) = (-12, -10)
It would be 0.38 the 8 is repeating
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:
sine (theta) = opposite side / hypotenuse
sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...
Total nuts=144
The ratio of cashews to peanuts to almonds can be shown as:
cashews:peanuts:almonds
2:3:7
Now lets add up the numbers in the ratio.
2+3+7=12
So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds.
Now lets divide the total number of nuts (144) by the sum of the ratio (12).
144/12=12
Now we can solve for the number of every type of nut in the bag...
Cashews=12*2=24nuts
Peanuts=12*3=36nuts
Almonds=12*7=84nuts
Now we can answer the problem:
Peanuts-cashews=
36-24=12 nuts
Answer: There are 12 more peanuts than cashews.
