The value of QR is 11
<h3>How to determine the length of QR?</h3>
The given parameters are:
RS = 5
QS = 16
Because R is on QS, then we have:
QS = QR + RS
This gives
16 = 5 + QR
Evaluate
QR = 11
Hence, the value of QR is 11
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Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
Check the picture below.
you surely know how to get the area of a rectangle, well, there you have 6 of them, get the area of each, sum them up, that's the surface area of the prism.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Answer:
78,780
Step-by-step explanation:
Given:
- 6060 chocolates made per hour
- 13 hours in one day
Number of chocolates made in 1 day = number of chocs/hr × number of hours
= 6060 × 13
= 78,780
