Please help me 10 points

Serhud [2]

Answer:

1

Explanation:

According to the Unit Circle, <em>sin</em> π\6 is ½, so we plug this into the cosine function to get this:

cos π\6 - π\6 → cos 0 >> 1

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I do not have Unit Circle video uploaded yet, but if I need to, just notify me in the comments or on of course, You-Tube.

*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.

3 0

3 years ago

On a certain river, a paddleboat travels 12 miles upstream (against the current) in the same amount of time it travels 20 mil

marin [14]

Given :

a paddle boat travels upstream = 12 miles

a paddle boat travels downstream = 20 miles

speed of the current = 2 miles per hour

Let the speed of the boat =x

Let the time taken = t

We know the distance for upstream D= (boat speed - current speed) * time

the distance for downstream D= (boat speed + current speed) * time

Plug in all the values and variables in the distance

For upstream 12 = (x-2)t, then $t = \frac{12}{x-2}$

For downstream 20 = (x+2)t then $t = \frac{20}{x+2}$

we got two equations for t, equate it and solve for x

$\frac{12}{x-2} = \frac{20}{x+2}$

Cross multiply it

12(x+2) = 20(x-2)

12x + 24 = 20x - 40 (subtract 12x and add 40 on both sides)

64 = 8x

x= 8

the speed of the boat in still water = 8 miles per hour

3 0

3 years ago

Read 2 more answers

RSM QUESTION NEED HELP!!!!!! A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is

kogti [31]

<h3>Answer: 216 miles</h3>

=======================================

Work Shown:

d = distance from work to his house

x = speed when weather is good

y = speed when weather is bad

y = x-6 since he travels 6 mph slower

------------------------

On a good weather day, he travels for 4 hours and goes at x mph

distance = rate*time

d = r*t

d = x*4

d = 4x

----------------------

On a bad weather day, he travels 4.5 hours (half hour more than 4 hrs) and goes at y = x-6 mph

d = r*t

d = y*4.5

d = 4.5y

d = 4.5(x-6) .... replace y with x-6

d = 4.5x-27 .... distribute

----------------------

The values of d for both equations are the same, as the biker is traveling the same distance. So we can equate the two right hand sides (RHS) and solve for x.

4.5x-27 = 4x

4.5x-4x = 27

0.5x = 27

x = 27/0.5

x = 54

The biker's speed on a good weather day is 54 mph.

A bad weather day's speed would be y = x-6 = 54 - 6 = 48 mph.

----------------------

Now compute the value of d

d = 4x

d = 4*54

d = 216

The biker travels 216 miles on a good weather day

or,

d = 4.5*y

d = 4.5*48

d = 216

the biker travels that same distance on a bad weather day.

3 0

4 years ago

Why is the greatest common factor of two numbers sometimes one

Gala2k [10]

Because it may be the only number that is common to both numbers. Like the greatest common factor between 2 and 3 is 1.

6 0

4 years ago

Which relation is a function?

lina2011 [118]

Answer:

B

Step-by-step explanation:

For a relationship to be a function

Each value of x in the domain can only have 1 unique value of y in the range. That is, one-to-one correspondence.

The only relation which meets this criteria is B

7 0

4 years ago

Read 2 more answers