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3 years ago

1. You bike 25 blocks in 20 minutes. Find your speed. * Your answer

Mathematics

1 answer:

ella [17]3 years ago

8 0

Answer:

5/4 blocks per minute

Step-by-step explanation:

distance

speed = ----------------

time

Here,

25 blocks

speed = ------------------- = 5/4 blocks per minute or 75 blocks per hour

20 minutes

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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Find the slope of the line that contains the points (-5, 3) and (-1,-5).

Nutka1998 [239]

Look at the attached picture⤴

Hope this will help u....

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3 years ago

What is the acceleration due to gravity of a planet where a mass of 45.0 kg has a weight of

AnnZ [28]

Answer:

Normally, Acceleration due to gravity is

$9.8m/s^2\\$

$10m/s^2$

Step-by-step explanation:

From the web

These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance

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3 years ago

Do you know how to solve this problem?

castortr0y [4]

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3 years ago

The population of a town increased by 10% per year in 2009, 2010, and 2011. If the population of the town at the beginning of 20

Bogdan [553]

If the population was 40,000 at the beginning of 2009, at the end of 2009 it has increased by 10% and became 44,000.

By the same way, at the end of 2010, it became $44000 + \frac{44000*10}{100} = 48400$

At the end of 2011, the population was $48400 + \frac{48400 * 10}{100} = 53240$

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3 years ago