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aleksandr82 [10.1K]

2 years ago

5

You are facing North. Turn 90 degrees left. Turn 180 degrees right. Turn around to reverse your direction. Turn 45 degrees left.

Turn around to reverse your direction. In which direction are you facing?

2 answers:

gizmo_the_mogwai [7]2 years ago

8 0

Answer:

Final direction is 45 degrees south of west or 45 degrees west of south.

Step-by-step explanation:

i) You are facing North

Turn 90 degrees left

ii) 90 degrees left to north is west.

Turn around to reverse your direction

iii) On reversing direction you will be facing east.

Turn 45 degrees left

iv) On turning 45 degrees left, you will be facing north east.

Turn around to reverse your direction

v) On reversing direction you will be facing south west.

Final direction is 45 degrees south of west or 45 degrees west of south.

andriy [413]2 years ago

5 0

North
You are facing north. 90 degrees left is west. 180 degrees is now east. Reversing your direction is the same as 180 so your now back to facing west. Turn 45 left you’re now facing south. Reverse again and you’re facing north.

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Which statements correctly describe the cosine and sine functions? Check all that apply. The cosine function increases on (90°,

Jet001 [13]

Answer:

The three correct answers are B "The sine function increases on (0°, 90°) and (270°, 360°)." , E "Both the cosine and sine functions have a maximum value of 1.", and F "Both the cosine and sine functions are periodic."

Step-by-step explanation:

Hope this helps <3

4 0

2 years ago

You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec

andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

so

$w+285\geq 500$

Solve for w

Subtract 285 both sides

$w\geq 500-285\\w\geq 215$

The minimum number of words left to write is 215

3 0

2 years ago

Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

$a_n=a_1+(n-1)d$

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

$a_7=a_1+(7-1)d$

$40=a_1+6d$

$a_1+6d=40$

a18 = 106

$a_1_8=a_1+(18-1)d$

$a_1+17d=106$

we can subtract both equations

$a_1+17d-a_1-6d=106-40$

$11d=66$

$d=6$

now, we can find a1

$a_1+6d=40$

we can plug d=6

$a_1+6*6=40$

$a_1=4$

12th term:

$a_1_2=a_1+(12-1)d$

now, we can plug values

$a_1_2=4+(12-1)*6$

$a_1_2=4+66$

$a_1_2=70$

so, 12th term is 70...........Answer

3 0

2 years ago

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and

uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0

2 years ago

Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2

Blababa [14]

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is

$9.4 - 6 = 3.4$
$12.8 - 9.4 = 3.4$
$16.2 - 12.8 = 3.4$

So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4

8 0

2 years ago