Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length =
inches and
Width =
inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:

Putting the given values and conditions as per equation (1):

Putting in equation (1):

So, the answer is:
Largest possible length is <em>21 inches</em>.
Given that you did not include the diagram showing the circle, the tangent line and the points Q, R, and S, I am going to give you the explanation to answer the question.
1) The tangent lines to a circle form a 90° angle with the radius at the point of intersection.
2) Therefore, if the point of intersection of the tangent line and the circle is named R, and the points S and Q are one the center of the circle and the other is on the line RQ, then you know that the segment SR is a radius and the line RQ is the tangent, which means that they are perpendicular, i.e. the angle QRS is measures 90°.
In this case the answer is m angle QRS = 90°.
3) Otherwise the angle is different to 90° and you need to observe the figure to conclude whether it is greater than 90°, less than 90° or there is not enough information.
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
Answer:
The answer to this question can be defined as follows:
net paid interest = $ 655. 04
Total cost = $ 4955.04
Step-by-step explanation:
Given values:
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Solution:
yearly payment = one month amount × 12
1 year payment = $ 206.46 × 12
1 year payment = $2477.52
because Time is 2 year then payment is = $2477.52 *2
2 year payment = $ 4955.04
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
total cost = $ 4955.04
net paid interest = $ 655.04
Answer:
The quadratic equation is f(x)=20x^{2} -400x +3000.
1. This number represents the amount of money it was sold for.
2. Vertex =(10,1000)
Step-by-step explanation:
This point represents the amount of money the computer was worth at its lowest point.