Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,

Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get



Taking square root on both sides, we get
[∵Side length cannot be negative]

Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
Answer:
938
Step-by-step explanation:
Given that :
Amount spent by fair on thrill. Ride = $3000
Cost per token of thrill ride = $4
For the fair to make a profit of atleast $750
Then it must realize : (cost of thrill ride + $750) = ($3000 + $750) = $3750
Therefore ;
Cost per token * number of rise tokens ≥ $3750
Let number of ride tokens = x
4x ≥ 3750
4x/4 ≥ 3750/4
x ≥ 937.5
Hence, number of tokens that must be sold = 938
Answer:
a. Yes
b. Yes
c. Yes
d. No
Step-by-step explanation:
a. Because -10x+4x=6x
b. 2(12-3x)=2*12-2*3x=24-6x
c. 24 and -6x just switched places.
d. 24x-6x=18x not 24-6x
Answer:
The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.
Answer:
-14
Step-by-step explanation: