Angle x = 3 π / 4 = 135°
The angle is in the 2nd Quadrant.
Answer:
sin x = √2 / 2
cos x = - √2/ 2
tan x = - 1
cot x = - 1.
We know that the elevator can rise 480 feet in 30 seconds. From this, we can figure out how many feet the elevator rises per second.
480 feet / 30 seconds = 16 feet / 1 second
This means that the elevator rises 16 feet in 1 second.
However, the question asks how many feet the elevator can rise per minute, so we have to multiply this amount by 60, because there are 60 seconds in a minute.
16 feet * 60 = 960 feet per minute.
Therefore, the high speed elevator can rise 960 feet in a minute.
Answer:
B: 11 minutes.
Step-by-step explanation:
So, we know that the machine prints at a constant rate.
After 3 minutes, the machine prints 108 posters.
So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:
So, the unit rate of the machine is 36 posters per minute.
We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:
Gives the amount of posters p and t minutes.
We want to know how long it will take Jeffrey to make 396 posters.
So, we can substitute 396 for p and solve for t. Hence:
Divide both sides by 36:
Therefore, it will take Jeffrey 11 minutes to make 396 posters.
- <u>The </u><u>sum</u><u> </u><u>of </u><u>the </u><u>number </u><u>in </u><u>each </u><u>of </u><u>the </u><u>four </u><u>rows </u><u>is </u><u>the </u><u>same </u>
- <u>The </u><u>sum </u><u>of </u><u>the </u><u>numbers </u><u>in </u><u>each </u><u>of </u><u>the </u><u>three </u><u>columns </u><u>is </u><u>the </u><u>same</u>
- <u>The </u><u>sum </u><u>of </u><u>any </u><u>row </u><u>does </u><u>not </u><u>equal </u><u>the </u><u>sum </u><u>of </u><u>any </u><u>column </u>
<u>According </u><u>to </u><u>the </u><u>Second</u><u> </u><u>rule </u><u>:</u><u>-</u>
<u>According </u><u>to </u><u>the </u><u>first </u><u>rule </u><u>:</u><u>-</u><u> </u>
<u>From </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>got </u><u>:</u><u>-</u>
<u>Subsitute </u><u>(</u><u>3</u><u>)</u><u> </u><u>in </u><u>(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>
<u>We</u><u> </u><u>can </u><u>write </u><u>it </u><u>as </u><u>:</u><u>-</u>
<u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>c </u><u>and </u><u>e </u><u>in </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>
<u>Now</u><u>, </u>
Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .
The correct answer is D) a+2b.
Hope it helps!