Answer:
P = 70 mi A = 210 mi^2
Step-by-step explanation:
Sides:
a = 29 m
b = 20 m
c = 21 m
Angles:
A = 90 °
B = 43.6028 °
C = 46.3972 °
Other:
P = 70 m
s = 35 m
K = 210 mi^2
r = 6 m
R = 14.5 m
Agenda:
A = angle A
B = angle B
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
SSS is Side, Side, Side
Heron’s formula says that if a triangle ABC has sides of lengths a, b, and c opposite the respective angles, and you let the semiperimeter, s, represent half of the triangle’s perimeter, then the area of the triangle is
Answer:
The correct answer is B
Step-by-step explanation:
$45,700 loss
Answer:
428 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a prism: 2wl +2lh+2hw
Where w is the width of the prism; l the length; and h the height.
Replacing with the values given:
S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2
S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2
Adding both surface areas:
88+340 =428 in2
Feel free to ask for more if needed or if you did not understand something.
Answer: 
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Explanation:
r = number of red pens
4r = cost of buying r red pens
example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens
If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.
John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.
In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)
We want $92 be the most he spends. This is the ceiling or highest value possible.
Therefore,
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Extra info:
If you want to solve for r, then
distribute
add r to both sides
subtract 92 from both sides
So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.
