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julsineya [31]
3 years ago
6

Sixteen more than a number is 48 which equation models this sentence

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
The word 'more' means addition.
So C. n + 16 = 48
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24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
3 years ago
Read 2 more answers
A winter resort took a poll of its 400 visitors to see which winter activities people enjoyed. The results were as follows: 188
VARVARA [1.3K]
Exactly one activity:  246
None of the activities :  1
At least one activity:  74
Snowboarding and Ice skating but not skiing:  5
Snowboarding or ice skating but not skiing:  132.
Only skiing :  119.
The diagram is in the attachment. 
Download docx
6 0
3 years ago
a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
3 years ago
Read 2 more answers
Happy thanksgiving everyone!
tiny-mole [99]
Happy Thanksgiving! ❤
8 0
3 years ago
Read 2 more answers
How do I solve this?
serg [7]

Answer:

  (x, y) = (18, 5)

Step-by-step explanation:

Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:

  3x +49 = 7x -23

  72 = 4x . . . . . . . . . add 23-3x

  18 = x . . . . . . . . . . . divide by 4

__

Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.

  3x = 11y -1

  3(18) +1 = 11y . . . . add 1, fill in the value of x

  55/11 = y = 5 . . . . divide by 11

The values of x and y are 18 and 5, respectively.

5 0
3 years ago
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