Answer:
77*
First we are going to take our given number, 25* and 78* and add them together.
25* + 78* = 103*
And subtract our answer, 103*, from 180*.
180* - 103* = 77*
77* is our missing angle. To prove it, we add angle measures a, b, and c, to make the number 180*
25* + 78* + 77* = 180*
Another way to write it is . . .
180* - (A + B) = C
~Hope this helps~
Answer:
143.26 sec
Step-by-step explanation:
Density = 4.3 g/l
Volume flow rate = 0.25 l/s
Mass flow rate = density x volume flow rate
= 4.3 x 0.25 = 1.075 g/s
This means 1.075 grams of the gas is released in 1 sec, therefore,
Time taken for leakage of 154 g of gas is
t = 154/1.075 = 143.26 sec
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
<u>ANSWER:</u>
The price of senior citizen ticket is $4 and price of child ticket is $7.
<u>SOLUTION:
</u>
Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.
The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
We need to find what is the price each of one senior citizen tickets and one child tickets.
Let, the price of senior citizen ticket be "x" and price of child ticket be "y"
Then according to the given information,
3x + 9y = 75
x + 3y = 25 [by cancelling the common term 3.
x = 25 – 3y ---- (1)
And, 8x + 5y = 67 ---- (2)
Substitute (1) in (2)
8(25 – 3y) + 5y = 67
200 – 24y + 5y = 67
5y – 24y = 67 – 200
-19y = -133
y = 
y = 7
Now substitute y value in (1)
x = 25 – 3(7)
x = 25 – 21 = 4
Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.
Answer:
6
Step-by-step explanation:
To solve this , we use the equation of finding a slope wig a line.
m = (y2 - y1)/(x2 - x1)
From the question, we know that:
y2 = y
x2 = 3
y1 = 2
x1 = 1
m = 2
Hence,
2= (y - 2)/(3 - 1)
2 = (y - 2)/2
4 = y - 2
y = 2 + 4 = 6
