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vovangra [49]
3 years ago
15

PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side l

engths round to the nearest tenth
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

A = 4.6 cm

Step-by-step explanation:

Here, we want to find the length of the apothem, given the side lengths

Mathematically, we have this as;

A = s/2 tan (180/n)

where in this case;

s is the length of the sides which is 16 cm

n is the number of sides (since it is hexagon, we have this as 6)

Substituting these values;

A = 16/2 * tan (180/6)

A = 8 * tan 30

A = 4.62

To the nearest tenth, A is 4.6 cm

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Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20
aleksandr82 [10.1K]

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

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timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

6 0
3 years ago
A research report says that t(63) = 1.99; p = .03. From that information, can you reject the null hypothesis with 95% confidence
Leona [35]

Answer:

Yes, I can reject the null hypothesis with 95% confidence.

Step-by-step explanation:

Critical value t(63) = 1.99

p-value = 0.03

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Conclusion:

Reject the null hypothesis because the p-value 0.03 is less than the significance level 0.05.

4 0
3 years ago
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mrs_skeptik [129]

Answer:

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Step-by-step explanation:

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