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2 years ago

You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?

Mathematics

1 answer:

leva [86]2 years ago

7 0

Answer:

One

Step-by-step explanation:

An equilateral triangle has equal side lengths.

With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.

The sides of the equilateral triangle can't be mixed up, they must stay the same.

Hope this helps.

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Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form

liberstina [14]

The standard form of a line:

$Ax+By=C$

We have the equation of a line in the slope-point form:

$y-3=\dfrac{1}{2}(x+6)$ use distributive property

$y-3=\dfrac{1}{2}x+3$ add 3 to both sides

$y=\dfrac{1}{2}x+6$ multiply both sides by 2

$2y=x+12$ subtract x from both sides

$-x+2y=12$ change the signs

$x-2y=-12$

4 0

3 years ago

Am I dealing with harmonic stuff (trig)?

pochemuha

You just need to solve for when $y=0$ :

$\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0$

$\implies\cos8t=9\sin8t$

$\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t$

$\implies8t=\tan^{-1}\dfrac19+n\pi$

$\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8$

where $n$ is any integer. We only care about when $0\le t\le1$ , which happens for $n\in\{0,1,2\}$ .

$t=\dfrac18\tan^{-1}\dfrac19\approx0.01$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80$

8 0

3 years ago

When it is 6:00 a.m. in Honolulu, it is 3:00 p.m. in London. Just before Paul’s flight from Honolulu to London, he called his fr

sineoko [7]

Answer:

b. winter wear, appropriate for around 20-45°F

Step-by-step explanation:

When it is 6:00 hours in Honolulu, it is 15:00 hours in London, this means that there are 15 - 6 = 9 hours of difference.

Paul got into London at 12:00 p.m, that is, at 12 - 9 = 3:00 p.m. Friday Honolulu time. Paul’s flight left Honolulu at 2:00 p.m. Thursday, so he spent 25 hours flighting.

When the flight started, the temperature in London was 30 °C, after 25 hours the temperature dropped 25 °C, so it was 30 - 25 = 5 °C.

To convert from °C to °F, we use the following formula:

(x °C × 9/5) + 32 = y °F

Replacing with x = 5

(5 °C × 9/5) + 32 = 41 °F

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2 years ago

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Write the following cubes in expanded form .

bulgar [2K]

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2 years ago

What is 882992+2899992237×2222÷29727

maw [93]

Answer:

217648314.791

Step-by-step explanation:

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3 years ago

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