Please help with geometric mean!!
1 answer:
The exact value of y is .
Solution:
The attached below shows how the formula is written.
Using geometric mean,
Total base length (p + q) = 8
q = 6
p = 8 – 6 = 2
Let us first find the height of the triangle.
Taking square root on both sides,
Using Pythagoras theorem,
<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>
The exact value of y is .
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Answer:
A.
Step-by-step explanation:
We use the simple interest equation of A=P(1+rt).
A-the total amount with interest earned
P-the initial amount or principal
r-rate
t-time in years
We substitute the values P=300, A=381, and t=9. We then solve for r.
We divide both sides by 300.
Simplify.
We subtract 1 from both sides.
Simplify.
We divide by 9.
r=0.03
We need to convert the decimal to a percentage by multiplying by 100.
The interest rate is 3%.
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
