Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet
5/6 x 12
60 / 6 = 10
It takes 10 feet of string to make 12 bracelets.
Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
Answer:
21 windows
Step-by-step explanation:
collen family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Collen father would paint be a while that of her mother be b. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father a = 2b
Let the number of windows that would be needed to be painted each by Colleen and her 2 brothers be c because they would paint the equal number of windows.
The total number of windows to be painted = 2b + b + c + c + c = 3b + 3c = 3(b + c).
Collen painted 7 windows as her mother and her own share which is one less than the fathers share. Therefore b + c = 7.
Also the fathers share a = 2b = 7 + 1 = 8 windows. Therefore b = 4 which is the mother share
Therefore the total number of windows = 3(b + c) = 3(7) = 21 windows
3b + 3c = 21
3(4) + 3c = 21
12 + 3c = 21
3c = 21 - 12
3c = 9
c = 3 which is collen and her brothers share
