Problem 1, part (a)
<h3>Answer: False</h3>
For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
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Problem 1, part (b)
<h3>Answer: true</h3>
This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
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Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
B = block p = park
2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
1560 cm^2 as you subtract the small prism from the large
Answer:
0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18
Step-by-step explanation:
Given that:
Old house blend = 40% Columbian beans
New house blend = 30% Columbian beans
h = number of pounds of old house blend
a.) pound of columbian bean in old house blend :
40% of h = 0.4h
b.) pound of new blend poured into the bean:
Size of bin = 60 pound
Size of bin - pound of old house blend
(60 - h)
c. Amount of columbian bean in pound of new house blend :
30% of (60 - h)
0.3 * (60 - h)
18 - 0.3h
D.) Amount of columbian bean in 60 pound bin
(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)
0.4h + (18 - 0.3h)
0.4h + 18 - 0.3h
0.1h + 18
<span>K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.</span>
