Answer:
x = 9.23919
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from the angle measure
Angle = 57°
Opposite = x
Adjacent = 6
Step 3: Solve for x
Substitute: tan57° = x/6Isolate x: 6tan57° = xEvaluate: 9.23919 = xRewrite: x = 9.239199514 1404 393
Answer:
x ≈ 9.24H ≈ 11.02Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships.
Tan = Opposite/Adjacent
tan(57°) = x/6
x = 6·tan(57°) ≈ 9.24
__
The complete solution of the triangle will also find a value for H.
Cos = Adjacent/Hypotenuse
cos(57°) = 6/H
H = 6/cos(57°) ≈ 11.02
_____
Comment on the figure
We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.
Help w this pls it would save me
Pleasereeee
Answer:
0.6 over 0.6. Or just 1.
Step-by-step explanation:
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?
Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]
After some algebraic handling we find this equivalent expression:
[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)
The polynomial is factorized by the Quadratic Formula:
[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]
Since all roots are complex, we conclude that Natalie cannot make it over the fence.
A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?
A- 25 + 20x = 282.50; x = 10.5 hours
B- 20 + 25x = 282.50; x = 10.5 hours
C- 20 + 25x = 282.50; x = 12.1 hours
D- 45x = 282.50; x = 6.3 hours
Answer: B
Step-by-step explanation:
The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours
According to the question;
The one-time service fee of the plumber is; $20
The plumber's hourly rate is; $25 per hour.
The total bill after working on toilet and bathroom came to; $282.50
The expression which represents the plumber's charge is therefore;
20 + 25x = 282.50where, x = number of hours to complete the job.
Therefore, to find x;
25x = 282.50 - 2025x = 262.50x = 262.50/25x = 10.5 hours.
The total number of hours it took him to complete the job is; 10.5 hours.
Read more:
https://brainly.com/question/13828699
Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions
Answer:
number 2
Step-by-step explanation:
can someone help, please! also i'm giving brainliest
2 = Distributive Property (you are distributing the -5 to the x and the -6)
1 = Given (its the original equation)
3 = Addition Property of Equality (you add 5x to both sides)
4 = Division Property of Equality (you divide both sides by 15)
Jayana is trying to run a certain number of miles by the end of the month. If Jayana is 30% of the way to achieving her goal and she has already run 9 miles, how many miles is she trying to run by the end of the month?
Gabriel is 12 years old, and his younger brother Elias is 2 years old.
How old will each of them be when Gabriel is twice as old as Elias?
Gabriel will be 20, Elias will be 10
We can use an equation to map out and solve for each age.
Years gone by = x
12+x=2(2+x)
12+x=4+2x
x=8
12+8=20, 2+8 =10
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,
Select all the equations that are true,
Answer:
1st, 4th and 5th equationsStep-by-step explanation:
Correct ratios as per diagram are:
1st, 4th and 5th equations2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.
Answer:
mine is in different order
Step-by-step explanation:
Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answer:Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
no need
The answer. X=7 Ik that
Answer:
C: 147°
Step-by-step explanation:
Based on looking, the most appropriate answer should be C, which is 147°.
Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.
Answer: Small box: $13; Large box: $16
Explanation:
Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.
Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?
A. 0.625%
B. 3%
C. 40%
D. 62.5%
Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!
3/5 x 5/7 = ????????????????????????
Answer:
3/7
Step-by-step explanation:
already learn that
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Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?
Answer:
55
Step-by-step explanation:
Assuming that, initially, there were x people at the time of planning.
As given that, initially, the cost for 1 person = € 20
So, Total cost = € 20x ...(i)
As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.
Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.
Total cost = € 22(x-5) ...(ii)
As total cost remains the same, so equation the total cost from equations (i) and (ii), we have
[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]
Hence, at the time of planning, there were 55 people.
Please help as well:
Solve for X
Answer:
If equal to 90 x is 4
Step-by-step explanation:
Which function best represents this graph?
Answer:
Y=3x-2
Step-by-step explanation
Answer:
the frist one have a good dayStep-by-step explanation:
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A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?
Answer:
They travel 5/18 in one hour
Step-by-step explanation:
Answer:
In an hour the car can cover 5/18 of the distance
The students in Brooke's class got to choose whether to visit the zoo or the aquarium. 19 students went to the zoo and 5 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who went to the aquarium?
Pls answer-
Answer:
19:5
Step-by-step explanation:
0.0003 in standard form
Answer:
0.003
Step-by-step explanation:
hey yall i need help with this 123456 x 98765 any help will be great thank you
Answer:
1219253925
Step-by-step explanation:
Calculator
Answer:
12193131840
Step-by-step explanation:
pls help i need asap for homework
-5/6m = -60
m = ?
Step-by-step explanation:
Hey there!
Given;
-5/6m = -60
~ Multiply "6m" and "-60".
-5 = 6m*-60
-5 = -360m
~ Divide "-5" by "-360"
m = -5/-360
m = 1/72
Therefore, the value of "m" is 1/72.
Hope it helps....
1)
12 km
12 km
20 km
Is it a right triangle?
Answer:
No, it is a obtuse triangle instead
Step-by-step explanation:
So, you use pythagorean and theorem which is a^2 + b^2 = c^2
So when you plugin in the numbers, it's 20^2__ 12^2 + 12^2
When you square them you get left with 400__144 + 144
Then, you add 144 + 144 = 288
But since 400 is > than 288, then it's an obtuse triangle.
Answer:
No
Step-by-step explanation:
It does not follow the Pythagorean Theorem, which states that the two shorter sides squared (squared BEFORE added together). 12 squared is 144, and 144 plus 144 equals 288. 20, which seems to be the hypotenuse, squared is 400. 288 does not equal 400.
Four triangles are shown
Answer:
H
Step-by-step explanation:
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Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
8. Solve the equation.
25 - 3x = 40
a.x=5
b.x=1
C. X=-1
d. x= 10
Help !
Please help, needed fast
Answer:
46
Step-by-step explanation:
6*5
-2*-8
30+16=46
Answer:
It would be 46
Step-by-step explanation:
The hourly wage is $7.50. John worked 7 hour. How much did he
earn?
Answer:
52.5
Step-by-step explanation:
7.50 x 7
Line BC is represented by 3x + 2y = 8. Line AD is represented by –3x – 2y = 6. What is the relationship of line BC to line AD? Explain how the sum of the equations demonstrates this relationship.
Answer:
2
Step-by-step explanation:
if you suntract the 2 you, 3x cancels 2y cancels, 8-6 is 2
Answer: Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.
Step-by-step explanation: