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2 years ago

12

Tom swims a 1/2 kilometers every 1/4 hour. How far will he swim in one hour.

1 answer:

fgiga [73]2 years ago

8 0

Answer:

2 kilometers

Step-by-step explanation:

every 1 kilometer is a 1/2 hour. double that and you get 2

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marysya [2.9K]

First, subtract to get the difference.
2.85 – 2.78 = 0.07

Next, divide 2.78 by 100
2.78 ÷ 100 = 0.0278
So, 0.0278 is 1%. Divide 0.07 by 0.0278 to get the answer.
0.07 ÷ 0.0278 ≈ 2.518
2.518 ≈2.5
Therefore, the percentage increase is approximately 2.5% (that's the answer).

Hope this helps!

8 0

3 years ago

Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

What trigonometric ratio is defined as the length of the opposite leg divided by the length of the hypotenuse?

aleksley [76]

SOH CAH TOA

Sine is opposite over hypotenuse so you're answer is C.

:)))

8 0

3 years ago

A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio

boyakko [2]

Answer:

900 + 12 x 30

Step-by-step explanation:

4 0

3 years ago

I need help on number 10 urgently.

grigory [225]

Answer: Option A. 288 cubic inches

6 0

3 years ago

Read 2 more answers