Answer:
Step-by-step explanation:
1) <u>The two points are</u>:
a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>
b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>
2) <u>The general equation using the form given is</u>:
3) <u>Substitute the two points</u>:
4) <u>Divide the second equation by the first one</u>:
⇒ 13.5 / 18 = B
⇒ B = 0.75
5) <u>Substitue B = 0.75 into the first equation</u>:
18 = A (0.75) ⇒ A = 18 / 0.75 = 24
Hence, the equation is:
<h2>
Answer:</h2><h2>
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>
Step-by-step explanation:
A hertz is used to measure one cycle (complete wave) of a vibration.
The number of cycles per second is the frequency, measured in hertz.
A guitar string vibrates back and forth 88 times in 1 minute
The vibrations in 1 second = 
= 1.466 Hz ≈1.5 Hz
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
3√64 3√a^6 3√b^7 3√c^9
Calculate
4 3√a^6 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^6/3 3√b^7 3√c^9
Simplify 6/3 to 2
4a^2 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^2b^7/3 3√c^9
Use this rule: (x^a) = x^ab
4a^2b^7/3 c^9/3
Simplify 9/3 to 3
<h2><u>
Answer: B. 4a^2b^2c^3(3√b)</u></h2>
<u><em>Question Number 2.</em></u>
Use this rule: √ab = √a√b√120√x
Simplify √120 to 2√30
2√30√x
Simplify
<h2><u>
Answer: A. 2√30x</u></h2>
Answer:
288 is your answer. Your welcome
C=180-A-B=180-67-53=60deg.
by sine rule
b/sinB=a/sinA
b=a/sinA*sinB
=13/sin(67)*sin(53)
= 11.28
c/sinC=a/sinA
c=a/sinA*sinC
=13/sin(67)*sin(60)
= 12.23
