Answer:
9
Step-by-step explanation:
triangles always = 180 degrees
we know there is a 90 degree angle so 180-90=90
we know the other angle is 20 degrees so you do 90-20 which equals 70
now we know that the angle with x equals 70
so then you do 70-16 which equals 54
now just divide 54 by 6 and you get 9
so x=9
hope this helped ;)
Answer:
t = 2.28 s
Step-by-step explanation:
h = 105 - 9t - 16t ^ 2
0 ft = 105 ft - 9t -16^t
To find the roots of a quadratic function we have to use the Bhaskara formula
, the roots will give us the time it takes to reach zero height
ax^2 + bx + c = 0
-16^t - 9t + 105 ft = 0 ft
a = -16 b = -9 c = 105
t1 = (-b + √ b^2 - 4ac)/2a
t2 =(-b - √ b^2 - 4ac)/2a
t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t1 = (9 + √(-81 + 6720))/ -32
t1 = (9 + √6639)/ -32
t1 = (9 + 81.84)/ -32
t1 = 90.84 / -32
t1 = -2.83 s
t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)
t2 = (9 - √(-81 + 6720))/ -32
t2 = (9 - √6639)/ -32
t2 = (9 - 81.84)/ -32
t2 = -72.84 / -32
t2 = 2.28 s
we have two possible values, we are only going to take the positive one, beacause we are talking about time
t2 = 2.28 s
Answer: 19 cents
Step-by-step explanation:
Let's say that the cost of a lemon be L and the cost of an orange is O
We get the equation
4L + 3O = 5.45
7L + 4O = 9.30
The first equation can be made into the equation
28L + 21O = 38.15
And the second be made into
28L + 16O = 37.20
The second equation - The first question
5O = 0.95
O = 0.19
the area of the first shape is 4 times 12 which is 48 and the area of the second shape is 2 times 10 which is 20
48+20= 68 mi2