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3 years ago

Solve the equation 6+1/5q=10

Mathematics

1 answer:

Marat540 [252]3 years ago

4 0

Answer:

q = 20

Step-by-step explanation:

1/5q = 4

q = 20

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baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

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The price of a skateboard is $55.00 What will the new price be after a<br> 17% decrease ?

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Source:trust me bro

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HELP HELP<br> solve for n in the equilateral triangle shown below

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2 years ago

Find the sum of the first 10 terms of the following series to the nearest Integra 3, 5, 25/3,...

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Answer:

S(10)=3*(1-(5/3)^10)/(1-5/3)

Step-by-step explanation:

It is Geometric series with r:

r=5/3=(25/3)/5=5/3

a=3

Sum of G.S. in formula:

S(n)=a(1-r^n)/(1-r)

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Step-by-step explanation:

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3 years ago

Solve the equation 6+1/5q=10​

Solve the equation 6+1/5q=10