Answer:
100.0 feet
Step-by-step explanation:
For an acute angle in a right triangle, the cotangent function is the ratio of the adjacent side to the opposite side:
cot(16°42') = (distance to goal)/(30 ft)
Multiplying by the denominator, we have ...
(distance to goal) = (30 ft)cot(16°42') = (30 ft)(3.33317) ≈ 100.0 ft
The football is 100.0 feet from the base of the goal.
_____
cot(16°42') = tan(73.3°)
Answer:
True
Step-by-step explanation:
4/9+6/9= 10/9=1 1/9
2+1=3
3+1 1/9=4 1/9
Answer:
a) Equation: 9x+9 = 72
b) x =7
Step-by-step explanation:
The total cost of 9 bracelets = $72
Shipping charge = $9
a) Define your variable and write an equation that models the cost of each bracelet.
Let x be the cost of one bracelet, the equation will be
9x + 9 = 72
As 9 bracelets were there and the shipping cost was 9 and total cost was 72.
b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.
Now solving the equation to find the value of x that represent cost of each bracelet
9x + 9 = 72
Adding -9 on both sides
9x +9 -9 = 72 -9
9x = 63
Dividing both sides by 9
9x/9 = 63/9
x = 7
The value of x=7 so, the cost of each bracelet is $7
c) Provide your conclusion.
So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.
We would check whether our equation is satisfied.
9x+ 9 = 72
9(7) + 9 = 72
63 + 9 = 72
72 = 72
The equation is satisfied.
Answer:
A= 16 B=28
Step-by-step explanation:
So the ration is 4:7, you have to find multiples that have that same ratio
Multiply both numbers by 4, this should get you
16:28
16 + 28 = 44
Therefore this is the correct answer
Answer:
Step-by-step explanation:
Length = x+3
Width = x-1
Area = l*b
where l is the length of the bedroom
and b is the breadth or width of the bedroom
The polynomial can be written as:
Area=(x+3)(x-1)
Now we will find the area of the room when x=10
First we will find the values of length and width.
Length = x+3
Length = 10+3 = 13
Width = x-1
Width = 10-1=9
Now put the values in the formula:
Area=l*b
Area=13*9
Area = 117 square feet....
