Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
⇒ 
⇒ 
⇒ 
The area of the semicircle;
⇒ 
⇒ 
*Note here that the radius is half the diameter, so it is 7cm, not 14cm
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Finally subtract the two areas;
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<span>l = length
w = width
h = height
SA =
2lw + 2wh + 2lh.
V = lwh.
Write an expression for the ratio of surface area
to volume:
SA / V = [</span><span><span> 2lw + 2wh + 2lh] / </span>lwh
SA / V = 2lw / lwh + 2wh / lwh + 2lh / lwh
SA / V = 2/h + 2/l + 2/w
Choose an appropriate length, width, and
height for your package so that it can fit the product you are shipping.
Using these dimensions, what is the ratio of surface area to volume?
I will work with an hypothetical figure where you have , l, w and the volume.
I suppose you know the volume, because it is the amount of product you need to pack. Make V = 1000 cm^3, l = 10 cm and w = 5 cm.
Wtih two dimensions and the volumen you can find the other dimension.
V = lwh = 1000 cm^3 => h = 1000 cm^3 / (lw) = 1000 cm^3 / (10 cm * 5 cm)
h = 1000 cm^3 / (50 cm^2) = 20 cm
Now you have the three dimensions to pack 1000 cm^3 of your product:
l = 10 cm
w = 5 cm
h = 20 cm
And the ratio of surface area to volume is:
SA / V = 2/h + 2/l + 2/w = 2/(20cm) + 2/(10cm) + 2/(5cm) = 0,7 (cm)^-1
</span>
Answer:
a) T= 0.25 C+37
b) T= 62°F
Step-by-step explanation:
Here T is a linear function of C
T= mC+b
For each additional chirp C corresponding to an increase in T of 0.25
therefore, m= 0.25
T= 42° F C=20 ( given)
therefore,
a) 42= 0.25×20+b
b= 37
therefore T= 0.25 C+37
b) now C= 100
therefore, T= 0.25×100+37 = 62°F
The required polygon whose area is to be calculated is attached below :
Answer:
16 unit²
Step-by-step explanation:
From the graph, the polygon is a triangle with height of 8 units and base of 4 units ;
Area of a triangle is given as :
Area = 1/2 * base * height
Area = 1/2 * 4 * 8
Area = 2 * 8
Area = 16 unit²
Answer: a=14
Step-by-step explanation:
Equation: 5=1/2a-2