Answer:
The third score must be larger than or equal to 72, and smaller than or equal 87
Step-by-step explanation:
Let's name "x" the third quiz score for which we need to find the values to get the desired average.
Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:
SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:
Now we can proceed to solve for the unknown "x" treating each inaquality at a time:
This inequality tells us that the score in the third quiz must be larger than or equal to 72.
Now we study the second inequality to find the other restriction on "x":
This ine
quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.
Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:
Answer:
2
Step-by-step explanation:
If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.
and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,
now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,
Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,
so the constant of proportionality is 2
Answer:
The correct option is option (c).
Step-by-step explanation:
Right angled triangle:
- One angle must be 90° and other two angles are acute angle.
- The hypotenuses is the longest side of the triangle and opposite right angle.
- It follows the Pythagorean Theorem.
Given that,
∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°
we know that,
for sin P , the opposite is QR.
The hypotenuse is PQ.
Therefore,
E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72
