Answer:
Scales are used to represent real distances and proportions into maps and planes, that way we can have a bigger perspective about something just having in paper.
One direct use of scales are seen in architecture plans, there, the architect uses scales to represent the construction he is designing. Also, the architect can have a more complete point of view about the principial elements on his work.
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
<u />
<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 
Answer:
3/83
Step-by-step explanation:
Probability: the ways to get the desired result / all of the possible results.
To solve, plug in the values they give.
There are 6 packages of wild-caught shrimp from Honduras. (The desired result)
Now, to find all of the possible results, add the total number of packages together.
27 + 40 + 52 + 13 + 6 + 28 = 166
6/166 = 3/83
Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.
Answer:
WX=36
Step-by-step explanation:
2x+16=7x-29
45=5x
x=9
7x-29
7(9)-29
65-29
36
Answer:
40.5
Step-by-step explanation:
Basically use the formula 1//2(base1+base2)*height. So it would be 1/2(4.5+9)*6 which would simplify to 40.5.