Answer:
c. 40.
Step-by-step explanation:
Since the small and large triangles are similar we have the equation:
45 / 90 = 6x + 4 / 4x + 56
1 /2 = 6x + 4 / 4x + 56
2(6x + 4) = 4x + 56
12x + 8 = 4x + 56
8x = 48
x = 6
So the length of the mid segment = 6(6) + 4 = 40.
Answer:
the anwser is A
Step-by-step explanation:
We first write the fractions in their decimal forms and find out the ratio.
2 1/4 is equivalent to 2.25, and 1 1/3 is equivalent to 1.33
Ratio will be 2.25 / 1.33 = 1.69 or 1.7 rounded off. Since it cannot be simplified further, then the ratio of mulch to gravel will be 1.7: 1
Quantity of mulch sold → 1.7/2.7 of 172 →0.629 ×172 = 108.2 pounds
Quantity of gravel sold will be 172 -108. 2 = 63 .8 pounds
Answer:
615.6
Step-by-step explanation:
First find the number of cubic feet.
V = B * h
B is a triangle with a right angle on your left and two 6 foot lengths on each leg.
Area = 1/2 b * h
b = 6 feet
h = 6 feet
Area = 1/2 * 6 * 6 = 18 square feet.
The volume = B * h
h = 11.4
B = 18 sq ft
Volume = 18 * 11.4
Volume = 205.2 Cubic Feet.
Each cubic foot costs 3.00 dollars
Cost = volume * cost/cu foot
Cost = 205.2 * 3
Cost = 615.6
The answer is: The third option, 0.
We are asked to find (f-g) evaluated in 144, so the definition states that:
So,
We must remember that evaluating a function means replacing the variable with the given value, for this case it's 144.
Then, evaluating:
Hence, if:
The correct option is the third option, 0.
Have a nice day!
Answer:
0
Step-by-step explanation:
Substitute x = 144 into the expression for f(x) - g(x)
+ 12 - 2
= 12 + 12 - (2 × 12)
= 12 + 12 - 24
= 0
y=6-2x
7x-y=3
A.Parallel
B.Perpendicular
C.Neither
The given lines are perpendicular to each other because there slope are negative reciprocals of each other.
What is the point slope form of a line ?
Point slope form is used to represent a straight line using its slope and a point on the line.
The line passes through two points which are (-2,1) and (4,9). The other line passes through points which are (-3,8) and (5,2).
We know that the equation of a linein point slope form is given by :
(y - y1) = m (x - x1)
For the first line : (x , y) = (-2 , 1) and (x1 , y1) = (4 , 9)
So ,
(1 - 9) = m (-2 - 4)
-8 = m × -6
m = 8/6
For the other line : (x , y) = (-3 , 8) and (x1 , y1) = (5 , 2)
So,
(8 - 2) = m (-3 - 5)
6 = m × -8
m = -6 / 8
We know that if two lines are perpendicular then , there slopes are negative reciprocals of each other. i.e.,
8/6 can be written as :
= -1/(8/6) = -6/8
The lines are perpendicular to each other.
Therefore , the first line and second line are perpendicular to each other because there slope are negative reciprocals of each other.
Learn more about point slope formof a line here :
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Answer:
Perpendicular
Step-by-step explanation:
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