Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
Answer:
The solution to the equation is as follows;
Step-by-step explanation:
Given;
5x - 3y = 1
3x + 2y = 1
Solving both equation simultaneously;
2: 10x - 6y = 2
3: 9x + 6y = 3
--------------------------
19x + 0 = 5
x = 5/19
substitute the value of x in any of the equations above and solve for y;
5x - 3y = 1
5 (5/19) - 3y = 1
25/19 -3y = 1
Answer:
She can make 1.6 batches
Step-by-step explanation:
24/15 = 1.6
Answer:
B. 4/21
Step-by-step explanation:
⇒This question is on probability
⇒Number of boys=3
⇒Number of girls=4
⇒P(S)= 4+3=7
Probability for a girl to win is= 4/7
We have 3 awards a free movie ticket, a collectible poster, or a free popcorn
P(S)= 3
Probability of being awarded a free popcorn = 1/3
The probability that a girl will win free popcorn =
4/7 * 1/3 = 4/21
hope i helped and have a wonderful day
Answer:
700$
Step-by-step explanation:
If all the seats cost tge same and each member takes a seat each game so we can say:
7×4=28
5×4=20
28x+20x=1200
48x=1200
x=25(seat price)
28×25=700
20×25=500
