Answer:
38.5
Step-by-step explanation:
b^2= 29^2+20^2-2×20×29× Cos 102
b^2=841+400-1160 (-0.2079)
=1241- 241.164
b^2=1482.164
b= square root of 1482.164
AC = 38.5
Answer:
(-2,-6)
-2
Step-by-step explanation:
To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have
-2
this is the x coordinate of the vertex.
Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)
This is the y coordinate
which means we have (-2,-6)
the axis of symmetry is just the x coordinate of the graph
which is -2
Answer:
38 Students love math the most
Step-by-step explanation:
<u>Step 1: Find how much math is left</u>
Total: 90
Already said: 32 + 20 -> 52
Total - Already said = Math
90 - 52 = 38
Answer: 38 Students love math the most
<span>Answer: A) 5 + 3.5x = 3 + 4x, x = 4
</span><span>
The Bowling Pin charges $5 for shoe rental and $3.50 per game. The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: </span>5 + 3.5x<span>
The Alley Way charges $3 for shoe rental and $4 per game. </span>The shoe should be fixed, but the price for playing depends on how many games played.
The function would be: 3 + 4x
The break even point would be:
5 + 3.5x= 3+4x
5-3= 4-3.5x
2= 0.5x
x=4
Answer: 
Step-by-step explanation:
Observe the picture attached.
Find the value of "x" and "y" using the Pythagoren Theorem:
If you solve for "a":
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case, for "x" you know that:
Then, the value of "x" is:
For "y" you can see that:
Subsituting values and solving for h, you get:
