Answer:

Step-by-step explanation:
f ∝ ghj
Convert the proportion to an equality
f = kghj
Calculate the value of k
18 = k × 4 × 3 × 5
18 = 60k
k = ⅓
Rewrite the equation with the value of k
f = ⅓gkj
Find the new value of f
f =⅓ × 5 × 12 × 3 = 
2.00 would be the best price to maximize revenue in the situation you gave me to answer
Answer:
74.8 m
Step-by-step explanation:
We are given that

Speed of peacock,v=10 km/h
Time,t=1 min 12 sec=60+12=72 s=
1 hour=3600 s
Distance=vt=
Using 1 km=1000 m
We know that

Using the formula


Hence, the peacock was at height of 74.8 m on the tree.
Answer:
2 3/4 in
Step-by-step explanation:
The sum of the marked distances is equal to the total distances shown:
... (1 5/8) + ? + (1 5/8) = 6
... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left
... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses
... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)
... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below
... ? = 2 3/4
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<em>Comment on subtacting mixed numbers</em>
Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.
Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)
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<em>Comment on doubling a fraction</em>
As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.
Answer:
X'Y' ≅ XY
∠Z ≅ ∠Z'
Step-by-step explanation:
we know that
A transformation that does not alter the size or shape of a figure is called a <u><em>Rigid Transformation</em></u>
Translations, rotations and reflections are rigid transformations
<u><em>Verify each statement</em></u>
case 1) X'Y' ≅ XY
The statement is true
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding sides of the image and the pre-image are congruent
case 2) ∠Z ≅ ∠Z'
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding angles of the image and the pre-image are congruent
case 3) ΔXYZ is not congruent to ΔX'Y'Z'
The statement is false
Because
ΔXYZ is congruent to ΔX'Y'Z'
case 4) Reflecting and translating the triangle change its shape and size
The statement is false
Because
Reflecting and translating the triangle not change its shape or its size