Answer:
Step-by-step explanation:
1/7 15/2 8 8.14 64
Answer:
Design 1
Step-by-step explanation:
Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense
Based on the given parameters, the length of c is 8.0 units
<h3>How to determine the side length of c?</h3>
The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
Read more about law of sines at:
brainly.com/question/16955971
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Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
