Answers
Answer:
x = 18.0
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
In your problem, sin of an angle = opposite side/hypotenuse
So, sin 51 = 14/x
x sin 51 = 14
x = 14/sin 51 = 18.0
Related Questions
What is the next term of the geometric sequence?
48,-36,27....
Answers
Answer:
-15 is the next number in the sequence
Which of the following could be the interpretation of the distance vs time graph shown?
Which of these answers this Question, Is It 1, 2, or 3 that's in parentheses???
( 1.) A biker takes off on a course that begins with a small ramp. The biker bikes up a hill and across a flat portion of the course before heading down a steep descent.
( 2.) A driver leaver her house and slows down to make a stop at her neighbor's house. She then drives at a constant speed and stops at a house further down the street. After visiting with her neighbor, she quickly drives back home.
( 3.) A hiker begins hiking, but shortly after realized he left his water bottle in his car. He turns around to get his water bottle and then starts hiking again at a constant rate. The hiker stops for lunch at the furthest point of his hike and then hikes back at a quicker constant rate.
Answers
The slope of the curve is positive between the times t=0\text{ s}t=0 st, equals, 0, start a text, space, s, end text, and t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text since the slope is directed upward. This means the acceleration is positive.
The slope of the curve is negative between t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text, and t=8 \text{ s}t=8 st, equals, 8, start a text, space, s, end text since the slope is directed downward. This means the acceleration is negative.
At t=2\text{ s}t=2 st, equals, 2, start a text, space, s, end text, the slope is zero since the tangent line is horizontal. This means the acceleration is zero at that moment.
Concept check: Is the object whose motion is described by the graph above speeding up or slowing down at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?
[Show me the answer.]
What does the area under a velocity graph represent?
The area under a velocity graph represents the displacement of the object. To see why to consider the following graph of motion that shows an object maintaining a constant velocity of 6 meters per second for a time of 5 seconds.
To find the displacement during this time interval, we could use this formula
\Delta x=v\Delta t=(6\text{ m/s})(5\text{ s})=30\text{ m}Δx=vΔt=(6 m/s)(5 s)=30 mdelta, x, equals, v, delta, t, equals, left parenthesis, 6, start text, space, m, slash, s, end text, right parenthesis, left parenthesis, 5, start text, space, s, end text, right parenthesis, equals, 30, start text, space, m, end text
which gives a displacement of 30\text{ m}30 m30, start text, space, m, end text.
Now we're going to show that this was equivalent to finding the area under the curve. Consider the rectangle of the area made by the graph as seen below.
The area of this rectangle can be found by multiplying the height of the rectangle, 6 m/s, times its width, 5 s, which would give
\text{ area}=\text{height} \times \text{width} = 6\text{ m/s} \times 5\text{ s}=30\text{ m} area=height×width=6 m/s×5 s=30 mstart text, space, a, r, e, a, end text, equals, start text, h, e, i, g, h, t, end text, times, start text, w, i, d, t, h, end text, equals, 6, start text, space, m, slash, s, end text, times, 5, start text, space, s, end text, equals, 30, start text, space, m, end text
This is the same answer we got before for the displacement. The area under a velocity curve, regardless of the shape, will equal the displacement during that time interval. [Why is this still true when velocity isn't constant?]
\text{area under curve}=\text{displacement}area under curve=displacementstart text, a, r, e, a, space, u, n, d, e, r, space, c, u, r, v, e, end text, equals, start text, d, i, s, p, l, a, c, e, m, e, n, t, end text
[Wait, aren't areas always positive? What if the curve lies below the time axis?]
What do solved examples involving velocity vs. time graphs look like?
Example 1: Windsurfing speed change
A windsurfer is traveling along a straight line, and her motion is given by the velocity graph below.
Select all of the following statements that are true about the speed and acceleration of the windsurfer.
(A) Speed is increasing.
(B) Acceleration is increasing.
(C) Speed is decreasing.
(D) Acceleration is decreasing.
Options A, speed increasing, and D, acceleration decreasing, are both true.
The slope of a velocity graph is the acceleration. Since the slope of the curve is decreasing and becoming less steep this means that the acceleration is also decreasing.
It might seem counterintuitive, but the windsurfer is speeding up for this entire graph. The value of the graph, which represents the velocity, is increasing for the entire motion shown, but the amount of increase per second is getting smaller. For the first 4.5 seconds, the speed increased from 0 m/s to about 5 m/s, but for the second 4.5 seconds, the speed increased from 5 m/s to only about 7 m/s.
Example 2: Go-kart acceleration
The motion of a go-kart is shown by the velocity vs. time graph below.
A. What was the acceleration of the go-kart at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?
B. What was the displacement of the go-kart between t=0\text{ s}t=0 st, equals, 0, start text, space, s, end text and t=7\text{ s}t=7 st, equals, 7, start text, space, s, end text?
A. Finding the acceleration of the go-kart at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text
We can find the acceleration at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text by finding the slope of the velocity graph at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text.
\text{slope}=\dfrac{\text{rise}}{\text{run}}slope=
run
a person gain sp of 4 lemons by selling 20 lemon find profit percentage?
Answers
Answer:
Question not Understood
Step-by-step explanation:
I am not understanding the question. Are they Gaining 4 lemons by selling 20? Did they buy 24 lemons, and sell 20 then keep the 4? please elaborate
4b. A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost for x months? *
Answers
answer:
the equation would be
200 + ( 50 * x ) = total cost
x is variable for the number of months
but lets use the number 2 ( 2 months ) for example
200 + ( 50 * 2 ) =
using pemdas we solve what is in the parentheses first
50 * 2
= 100
then just add the following numbers since they are the only ones left over in the problem
100 + 200
= 300
now we know that in 2 months and if you chose this cell phone plan, you will have to spend 300 dollars even!
hope this helps you and if you ever need anymore help or just not understanding this topic then please feel free to ask me! :)
and just in cause you dont know what pemdas stands for,
parentheses, exponents, multiplication/division ( always start from left to right ), addition/subtraction ( and again always start from left to right )
there is 12 apples 3/4 of he apples go missing how many apples are left
Answers
Because you can make 3/4 9/12 and if you just subtract 9 from 12 you get 3
URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Square Root of 85
Mr. Foote's deck is 12 ft. 6 in wide. Its length is twice the width plus 3 more inches. How long is the deck?
Answers
Answer:
25 ft 3 in
Step-by-step explanation:
Mr foote deck is 12 ft 6 in wide
It's length is twice its width with additional 3 inches
Therefore the length can be calculated as follows
12 ft 6 in + 12ft 6 in + 3 in
= (12+12)ft (6+6)in + 3 in
= 24+1 3in
= 25 ft 3 in
Hence the length of the deck is 25 ft 3 in
Pickle cannot get the cart up the ramp. In order to be successful he should
make the ramp longer.
make the ramp shorter.
make the ramp steeper.
back up and begin with a running start.
Answers
Answer: Make the ramp longer
making the ramp shorter and making the ramp steeper would be the same, and backing up wouldn't really help
Pickle should make the ramp longer in order to be successful.
Option A is the correct answer.
What is a ramp?The ramp refers to a sloped surface that connects a lower level to a higher level.
We have,
- A longer ramp will provide a more gradual slope, which will make it easier for the cart to move up the ramp.
- If the ramp is too short,
The slope will be too steep and it will be difficult to push the cart up.
- Making the ramp steeper will also make it more difficult to push the cart up.
- Starting with a running start may provide some initial momentum, but it will not address the underlying problem of the ramp being too short.
Thus,
Pickle should make the ramp longer in order to be successful.
Learn more about the ramp here:
https://brainly.com/question/12023500
#SPJ2
Ling baked 72 cookies with 4 scoops of flour. With 5 scoops of flour, how many cookies ca
Ling bake? Assume the relationship is directly proportional.
Answers
Answer:
90
Step-by-step explanation:
Divide 72 by 4 you get 18 which is how many Ling baked with one scoop of flour. Then just add 18 to 72 and you get 90
Calculate the length of the side LN given the following data for 37°.
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
pls help ASAP
Answers
Answer:
It is given that,
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
To find:
The length of side LN.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]
Using this in triangle LMN, we get
[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]
[tex]0.602=\dfrac{6}{LN}[/tex]
[tex]0.602LN=6[/tex]
Divide both sides by 0.602.
[tex]LN=\dfrac{6}{0.602}[/tex]
[tex]LN=9.966777[/tex]
[tex]LN\approx 9.97[/tex]
Therefore, the correct option is C.
Please help me solve this
Answers
Answer:
1st pic:
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
2nd pic:
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
1st pic:
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
2nd pic:
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees
Simplify: (2x3y5)3 Could you also explain how to do it?
Answers
Answer:
6x×9y×15
Step-by-step explanation:
that's the answear I got because you didn't add any math signs so assuming its all multiplication you take 3 and multiply it with each of the numbers with there variables
Please help me with this 4.7 x 10^-1
as an ordinary number
Answers
Answer:
The answer is 0.47
Msmsmsmaka
Answer:
0.47
Step-by-step explanation:
47/100
hope it helps thank you
Write the equation of a
circle whose diameter has
endpoint (-3,0) and (3,0).
With steps please
Answers
210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
50 students are girls who want to go to the water park. 45 students are girls who want to go skating.
60 students are boys who want to go to the water park.
Water park Skating Total Boys
Girls Total
Answer the questions to analyze the data.
Boys: 60 want to go to the water park, 55 want to go skating. 115 boys total
Girls: 50 want to go to the water park, 45 want to go skating. 95 girls total
How many boys want to go skating?
Answers
For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.
Answers
Mohsin, Yusuf and Luke are going to play a game.
At the end of the game, one of them will be in First place, one of them will be in
Second place and one of them will be in Third place.
Use the table below to list all the possible outcomes of the game.
First place
Second place
Third place
Answers
The possible outcomes of the game, in terms of first place, second place, and third place, are:
Mohsin, Yusuf, Luke
Mohsin, Luke, Yusuf
Yusuf, Mohsin, Luke
Yusuf, Luke, Mohsin
Luke, Mohsin, Yusuf
Luke, Yusuf, Mohsin
To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.
Using the table format, we can list the possible outcomes as follows:
Outcome 1: Mohsin, Yusuf, Luke
Outcome 2: Mohsin, Luke, Yusuf
Outcome 3: Yusuf, Mohsin, Luke
Outcome 4: Yusuf, Luke, Mohsin
Outcome 5: Luke, Mohsin, Yusuf
Outcome 6: Luke, Yusuf, Mohsin
Each outcome represents a different arrangement of the players in the first, second, and third places.
As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke
Luke, Mohsin, and Yusuf
Luke, Yusuf, and Mohsin
Mohsin, Luke, and Yusuf
Yusuf, Mohsin, and Luke
Mohsin, Yusuf, and Luke
These outcomes represent all the different ways in which the players can finish the game.
for such more question on permutations
https://brainly.com/question/28065038
#SPJ8
"Expand the brackets and simplify" (please i need help asap)
Answers
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
Find the total amount of interest earned on this savings account.
Time: 7 years
Interest Rate: 2.5%
Principal: $4,556
Interest:
$79.73
$797.30
$7,973
$79,730
Answers
Answer:
$797.30 or B on egunty :
)
Answer:
The answer is B.$797.30 on Edge 2021
I need help on this question thanks
Answers
Answer:
length of arc YPX=πrtheta /180
given radius =8m
= π(8)(360-90)/180=π(8)(270)/180=12πm
Find it ! Find the perimeter
Answers
Answer:
P=60
Step-by-step explanation:
P=2(l+w)
P=2(14+16)
P=2(30)
P=60
Perimeter of a rectangle with 16in length and 14in width is 60 in.
Perimeter of a rectangle = 2(l+b)
here l = length and b= width
Given : l= 16 in and b= 14 in
perimeter = 2(l+b)
= 2(16+14)
= 2(30)
=60 inches.
The perimeter of rectangle is 60 inches
To learn more about perimeter refer to,
https://brainly.com/question/15287805
HELP PLSSS ITS DUE NEXT 5MINS!!!!! (AS MUCH AS YOU CAN DOOO!!!!!!!!!!!!)
Answers
a) 6+2y-3+4y
=3+6y
b)16+t-2s+12
=18+t-2s
c)3w-6v+4v-100
=3w-2v-100
d)79t+50-30t-3
=49t+47
all i can do for now
Can somebody please help me !!!!!!!!!47$4&
Answers
Answer:
30 celsius
Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C
Mayson wanted to play his video games. His mother told him that he needed to finish his homework, walk the dog, and clean his room before playing video games. . He completed his homework in 48 minutes. He took 25 minutes to walk the dog. He took 75 minutes to clean his room. . There are 60 minutes in 1 hour. How much time did Mayson have to spend doing homework and cleaning before playing video games?
Answers
Equation: 48+25 = 72+75 = 148 min
Help I just want to know if this is cos, sin, or tan?
(This is geometry)
Answers
Answer:
it's cosine
Step-by-step explanation:
cos45° = x/17
cos 45° = x/17
17 cos 45° = x
x = 12.0202...
x = 12.0 (nearest tenth)
Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger brother spent $230 on 8 new shirts and 10 pairs of shorts. The older brother purchased 8 new shirts and 4 pairs of shorts and paid a total of $116. How much did each item cost?
Answers
Answer:
Younger: 12.78 per item
Older: 9.67 per item
Step-by-step explanation:
Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.
Younger Brother:
8 shirts + 10 shorts = 18 items for $230
$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)
Older Brother:
8 shirts + 4 shorts = 12 items
$116 ÷ 12 items = about 9.67 per item (estimated again)
Emily needs 21 feet of wire. Andy needs 15 feet of wire. How much will each of them spend for wire?
Answers
Answer:
$540.
Step-by-step explanation:
Aprrox some wire cost $15. And 21 x 15= 315. And 15 x 15= 225, so you add and you should have $540.
Find the greatest common factor of 15w2 and 25w3.
Answers
Answer:
5w^2
Step-by-step explanation:
Answer:
5w^2
Step-by-step explanation:
PLEASE HELP I DON’T UNDERSTAND PLEASE SHOW WORK TOO TY!!!
Answers
Answer:
5
Step-by-step explanation:
Plug in each number into the equation to its corresponding variable
So 9+6/3
Add the top numbers 9+6=15
now you have 15/3
Simplify 15/3
5
Can anyone tell me what the answer is for 4097 + 754 + 3188?
Answers
Answer:
8,039
Step-by-step explanation:
4097
3188
754
---------
8039
Answer:
4097 + 754 + 3188 = 8039
Step-by-step explanation:
4097 + 754 + 3188
4851 + 3188
8039