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3 years ago

How long does it take sound with an average speed of 330 m/s to travel 2475 meters?

Mathematics

1 answer:

blagie [28]3 years ago

6 0

T = (9,000 m) / (1,500 m/s)

T = 6 seconds

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MULTIPLE CHOICE PLEASE HELP

bekas [8.4K]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{3}$ x + 5 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

• Parallel lines have equal slopes, hence

y = $\frac{1}{3}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = $\frac{1}{3}$ x + 2 → C

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2 years ago

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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3 years ago

Answer this with a fraction:

Neporo4naja [7]

Exact form 27/4
decimal form 6.75
mixed number form 6(3/4)

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2 years ago

Help I dont know any of this!

Wewaii [24]

Answer:

i dont know it either im in 6th grade...

Step-by-step explanation:

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2 years ago

julie grows apples. the first year she planted 6 seeds. the second year she planted 18 seeds. the third year she planted 54 seed

luda_lava [24]

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90-96

Step-by-step explanation:

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2 years ago