Answers
Answer:
x is approximately 69.39 degrees.
Step-by-step explanation:
To find x in this triangle, we can use the sin rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]
The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.
So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.
This would give us the following equation:
[tex]\frac{3.5}{sin(55)} =\frac{4}{sin(x)} \\[/tex]
Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.
[tex]\frac{sin(55)}{3.5} =\frac{sin(x)}{4} \\[/tex]
From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:
[tex]\frac{4 sin(55)}{3.5} =sin(x)\\\frac{3.2766}{3.5} =sin(x)\\0.936=sin(x)[/tex]
Now the final step is to use inverse sin to cancel the sin so we just have x:
[tex]sin^{-1} 0.936=x\\x=69.39[/tex]
x is approximately 69.39 degrees.
Hope this helped!
Related Questions
Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.
Answers
Answer:
ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1. this is an example i found on the internet.
Step-by-
hope this helps, good luck
The ratio of the change in distance to the corresponding change in time
gives the speed of a runner.
The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Reasons:
The tables are;
Andrew
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]
Karleigh
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]
The duration each on the treadmills is 1 hour = 60 minutes
[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]
Therefore;
[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]
[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]
Therefore;
Karleigh ran a greater distance The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Learn more about formula for speed here
https://brainly.com/question/24455685
A right triangle is drawn on the coordinate plane.
Apply a dilation with a scale factor of 1 to this triangle and draw the new triangle on the coordinate plane.
Answers
how do you graph y= -1/4x + 6?
Answers
Answer:
First, you look at the y-intercept. It is positive 6 so you start at 6 on the y-axis. Then you look at the slope. It is negative 1/4. It is negative so the slope goes down and it goes down on the unit and 4 units right. That is how you graph y= -1/4x + 6
Please help, I'm stuck and really need this.
Answers
Answer:
r = 8
Step-by-step explanation:
To find the radius with only the area you do r = [tex]\sqrt{A/\pi }[/tex]
Since your area 64[tex]\pi[/tex] = 201.0619298 then 201.0619298/[tex]\pi[/tex] = 64
[tex]\sqrt{64}[/tex] = 8
Hope this helps!!
if two lines lie in the same plane and are perpendicular to the same line they are perpendicular true or false?
Answers
If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.
Parallel lines are those lines in which slopes are the same and the distance between them remains constant.
If a line is perpendicular to another then they will make 90 degrees at the intersection.
So if another line is also making 90 degrees it means both lines must be in the same direction so they will be parallel as given in the image below.
Hence "If two lines lie in the same plane and are perpendicular to the same line they are perpendicular is TRUE".
To learn more about parallel lines;
https://brainly.com/question/16701300
#SPJ6
Please help with these two math problems
1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =
Answers
Answer:
1. 7^(x-y)
2. z^5x^y
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
1.
[tex]\dfrac{7^x}{7^y}=\boxed{7^{x-y}}[/tex]
__
2.
[tex]\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}[/tex]
Some one help me please..?
Answers
Answer:
x = -18
Step-by-step explanation:
3 + -18 = -15
Answer:
the answer is d
Step-by-step explanation:
collect the like terms
what is the answer for 2(5/3+3/4)-4/3s
Answers
10/3 + 3/4 - 4/3s
Change the denominator of 10/3 and 3/4 so they are equal. Multiply 10/3 by 4, 3/4 by 3, and 4/3 by 4 to get:
40/12 + 9/12 - 16/12s
49/12 - 16/12s
Write a positive or negative integer that represents the situation.
The temperature rises 17 degrees.
Answers
Answer:
+17
Step-by-step explanation:
Explain how you would solve for the value of x when you are given the solution to a function.
Answers
Answer:
Substitute
Step-by-step explanation:
Substitute the values given in the function
and you will get the answer.
P.s. It depends on the question
what is the anwser for the math problem below
what is 13÷236
PLEASE ANWSER ASAP.
Answers
Answer: 0.05508474576
Step-by-step explanation:
A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need?
Answers
Answer:
144?
Step-by-step explanation:
1+3+5+7+9+11 blah blah blah...
1+3+5+7+9+11+13+15+17+19+21+23 which gives 144.
can you help? 6+(−4 3/4)+(−2 1/8)
Answers
Answer:
I believe it's -7/8
you have to make the fractions improper first with a common denominator and since -4 3/4 and -2 1/8 are negative and 6 is positive, you come out with -7/8
What is the value of n? help asap
Answers
Answer:
26
Step-by-step explanation:
Find the midpoint of (-5,12) and (3,-6)
Answers
Answer:
mid point: (4,5)
hope that helps :)
Step-by-step explanation:
The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is represented by the shaded area?
Answers
fourty four percent hope this helps !
Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2
Answers
Answer:
How I would write my paragraph:
If angle 1 is congruent to angle 4, angle 1 must also be congruent to angle 3 by the transitive property. This is because is angle 3 and angle 4 are vertical angles, and they must be congruent. If angle 1 is congruent to angle 3, then the two lines in the middle must also be parallel due to the converse of the corresponding angles theorem. Because the two lines in the middle are parallel, angle 3 must be congruent to angle 2 by the alternate interior angles theorem.
Step-by-step explanation: your welcome
Help please! I’m confused
Answers
Answer:
28 degrees
Step-by-step explanation:
hi! since m<ABC is 175 degrees and m<YBC is 147 degrees, we can subtract these to find m<ABY.
175-147= 28 degrees
what is the distance from 8 to 0?
Answers
Answer:
8, because |8|=-8
Step-by-step explanation:
Absolute value is always positive, hence the answer.
What is the greatest common factor of 72 and 2?
Answers
Answer:
the Greatest Common Factor (GCF) of 2 and 72 is 2
plz mark brainliest
Answer: the greatest Common Factor (GCF) is: 2
Step-by-step explanation:
To get the Greatest Common Factor (GCF) of 2 and 72 we need to factor each value first and then we choose all the copies of factors and multiply them:
*NOTE CAN PLEASE MARK ME AS BRAINLISST PLEASSE
Stephanie has $250 in her account. She withdraws $50 on October 1st to pay the electric bill. Then she withdraws $125 on October 10th to pay the internet. What is the total amount of money she withdraws from her account?
Answers
Solve 5x-8y=19 for y.
Answers
Answer:
-19/8+5x/8
Step-by-step explanation:
Answer:
912
Step-by-step explanation:
8x19= 152
152x5= 760
760+152=
PLEASE HELP ASAP!!!!!!!!!! YOU WILL GET BRAINLEST!!!!!!!!!!!!!!!!
The model represents an equation. What value of x makes the equation true?
A) 3/4
B) 9/2
C) −3/4
D) −9/2
Answers
Answer:
I am not completely sure I think it is A im not positive but I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
On the left, we have 7 -Xs and 7 1s. So, the left can be represented by the expression:
[tex]-7x+7[/tex]
On the right, we have 5 (positive) Xs and 16 1s. So, the right can be represented by the expression:
[tex]5x+16[/tex]
They are equal to each other. So:
[tex]-7x+7=5x+16[/tex]
Solve for x. Add 7x to both sides:
[tex]7=12x+16[/tex]
Subtract 16 from both sides:
[tex]-9=12x[/tex]
Divide both sides by 12:
[tex]x=-9/12[/tex]
Reduce:
[tex]x=-3/4[/tex]
So, our answer is C.
help me pls
1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately
2) Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+36.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+20.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
Answer:
a) after 12.59 days the revenue will be equal
b) u just have to graph it
the second one is
a) the two solutions are x=4 and x=-4
b) x=-4 is not reasonable because time can’t be negative
c) after four seconds, the heights will be equal
Step-by-step explanation:
After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.
1)
Given :
Math Game -- [tex]\rm M(d) = x^2-9x-10[/tex]
Reading Game -- R(d) = 2x + 10
It is given that after 'x' number of days the revenue for each game is the same, that is:
[tex]\rm x^2 -9x-10=2x+10[/tex]
[tex]\rm x^2 -11x-20=0[/tex]
Simplify the above quadratic equation.
[tex]\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}[/tex]
[tex]\rm x = \dfrac{11\pm \sqrt{201} }{2}[/tex]
x = 12.59 days
So, after 12.59 days the revenue for each game is the same.
The graph of both the revenue function is attached below.
2)
Given :
[tex]\rm b(t) =- t^2-2t+36[/tex]
p(t) = -2t + 20
The solution of this system can be determined by equating both the above function.
[tex]\rm -t^2 - 2t +36 = -2t +20[/tex]
Simplify the above equation.
[tex]\rm t^2 =16[/tex]
t = 4 and -4
a) The two solutions of the system are 4 and -4.
b) -4 is the solution is not a reasonable solution because time never be negative.
c) After 4 seconds the rocket and the ball reach the same height.
For more information, refer to the link given below:
https://brainly.com/question/2263981
Find f(2) if f(x) = (x + 1)2. 9 6 5
I'll give brainiest if right
Answers
Answer:
x=2
Step-by-step explanation:
It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walk of different lengths. Which friend is walking at the same rate as Caroline? *
0/1
Captionless Image
Answers
Answer:
Please comment the image, it won't load.
Step-by-step explanation:
the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle
Answers
Answer:
Length=9, Width=6
Step-by-step explanation:
First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.
A number problem states, “–5 times a number, minus 22 gives a result of 23.” What is the number?
Answers
Answer:
im pretty sure its -9
Step-by-step explanation:
the equation explained would look something like this...
-5x-22=23
so you would isolate the variable by first adding 22 to both sides and the dividing by -5 on both sides
-5x-22=23
+22 +22
-5x/-5=45/-5
x=-9
+22 +22
-5x = 45
—————
-5x -5x
X=-9
Please help it would be great
Answers
Answer:
120
Step-by-step explanation:
jUts bEcAusE
please helpp with this!!
Answers
Answer:
a) 83½
[tex]b)n = 4 \frac{1}{3} \: \: or \: \: n = - 4 \frac{1}{3} [/tex]
Step-by-step explanation:
Please see the attached pictures for full solution.