Answer:
188 balloons
Step-by-step explanation:
First, we have to divide the amount he collected altogether by the price of each balloon that he sold to find out how many balloons he sold:
9632 / 86 = 112 balloons
She sold 112 balloons.
We know that she threw 76 balloons away, therefore, the number of balloons she bought was:
112 + 76 = 188 balloons
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
Answer:
work is shown and pictured
Answer:
x = - 26
Step-by-step explanation:
Let the number be x.
According to the question,

Cross multiplying 4 & 3 gives :-

And solving this eqn. gives :-

Verification :-
(putting the value of x = -26 )

Reducing
by 7 gives
.
Given is :
The area of the rectangular patio is = 130 square feet
Let the width of the patio be = x feet
As length is 3 feet more than the width, so the length is = x+3 feet
Now area of rectangle is = length * width






This gives either x-10=0 or x+13=0
x-10=0 ; x=10
x+13=0 ; x=-13 (neglect this negative value)
So, the width of the patio is = 10 feet
Length = 10+3 = 13 feet