The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.
Please help, I will mark first correct answer brainliest.
Answers
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Related Questions
please answer i need it!
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Answer:
eftrgrqg54y
Step-by-step explanation:
Answer:
24.5 feet i think
Step-by-step explanation:
To the nearest millimeter, a cell phone is mm long and mm wide. What is the ratio of the width to the length?
Answers
Answer:
38:90, or if simplified 19:45.
Help I need an answer as soon as possible
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Answer:
charlie is the one,im pretty sure
what is the inequality shown?
Need help, first correct explanation gets brainliest
Answers
Answer:
- 4 < x ≤ 5
Step-by-step explanation:
The line is from - 4 to 5
The open circle at - 4 indicates that x cannot equal - 4
The closed circle at 5 indicates that x can equal 5
The inequality is then
- 4 < x ≤ 5
Choose the correct words from the drop-down menu to make a true statement about the system of equations.
y = 1/3x + 2
–x + 3y = 6
Using substitution, the system has choose....
A. No solution
B. One solution
C. Infinitely many solutions
Answers
Answer:
C
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{3}[/tex] x + 2 → (1)
- x + 3y = 6 → (2)
Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)
- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side
- x + x + 6 = 6, that is
6 = 6 ← True
This statement indicates the system has infinitely many solutions
The given system of equations has infinitely many solutions.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following system of equations -
y = 1/3x + 2
–x + 3y = 6
We have -
- x + 3y = 6
x = 3y - 6
Then -
y = 1/3(3y - 6) + 2
y = y - 2 + 2
y = y
Therefore, the given system of equations has infinitely many solutions.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=15 and y=49
Step-by-step explanation:
y+16=5x-10
and (y+16) + (8x-5)=180
so y=5x-26 and then
plug in for y so 5x-26+16+8x-5=180
that means x=15
plug in for x
y+16= 5(15)-10
that means y=49
thanks for the brainliest!
524
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It
takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
Answers
Answer:
543
Step-by-step explanation ITS 524
Tony and Sam are sharing the driving on a 520-mile trip. If Tony drives 90 more miles than Sam, how far did each of them drive?
Answers
Answer:
miles driven by sam =215 miles
Miles driven by Tony = 305 miles.
Step-by-step explanation:
Let the miles driven by sam is x
given that Tony drove 90 miles more than sam
miles driven by Tony = miles driven by sam + 90 = x + 90
Total miles driven by them together
= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90
given
Tony and Sam are sharing the driving on a 520-mile trip
2x + 90 = 520
2x = 520 - 90 = 430
x = 430/2 = 215
Thus,
miles driven by sam = x = 215 miles
Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.
se Home
ework
The following line graph shows the attendance at an annual event from 1998
through 2004. Estimate the attendance at the annual event in 2002,
The approximate paid attendance in 2002 was.
Attendance at an Annual Event
100,000
zes & Tests
Q
80,000
dy Plan
60.000
Paid Attendance
debook
40,000
20.000
apter Contents
0-
1998
ols for Success
2000
2002
Year
2004
ultimedia Librai
earson Tutor
ervices
Answers
Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).
An equation is −109.3=
.
The outside temperature is
∘F.
Answers
Answer:
Step-by-step explanation:-109.3=t-184.9
T=75.6
i need this asap!! will give brainliest and a thanks!
Answers
Answer:
Tess = 71 y/o
Nina = 63 y/o
Katy = 55 y/o
Step-by-step explanation:
First step: divide their age equally.
189÷3 = 63 years old / person
Second step: calculate the different between their age.
Tess>Nina>Katy
Different between:
Katy and Tess
= 16 years
Nina and Katy
= 8 years
Tess and Nina
= 16–8
= 8 years
Third step: Calculate their age.
Tess = 63+8
= 71 years old (because she is 8 years older than Nina and 16 years older than Katy)
Nina = 63 years old ( it doesn't change because she is in the middle)
Katy = 63–8
= 55 years old (because she is 8 years younger than Nina and 16 years younger than Tess)
To confirm, you can sum their age and check the age differences like what have been told in the question either it is correct or not.
71+63+55
= 189 years
You and your best friend decide to go to dinner at Chickfila. You each
order a salad for $8.50, lemonade for $1.75, and ice cream for $2.50.
You have a coupon for 20% off the total meal. You must also pay an
8.25% tax rate on the discounted total. Determine the total price for
the meal.
Answers
Answer:
= $28.90
Step-by-step explanation:
Can someone please help me with this question?!
Answers
Linda Is working at an art shop. She will be paid a daily amount plus a commission of a total sales. The equation y = .10x + 85 represents the amount Linda will make
Answers
Answer:
Income Linda make = $150
Step-by-step explanation:
Given:
y = 0.10x + 85
Assume;
Sales = $650
Find:
Income Linda make
Computation:
Income Linda make = 0.10x + 85
Income Linda make = 0.10(650) + 85
Income Linda make = 65 + 85
Income Linda make = $150
7. Give an example of a real number that is not rational.
Answers
Answer:
3.14
Step-by-step explanation:
Share what you think loves is. I think love is when you can sit next to each other and not say anything watching tv or something on your own and still have a good time, or when you can make my day by just showing up. what is 7+2000000?
Answers
Answer:
2000007
Step-by-step explanation:
please help thank you
Answers
Answer:
You would earn $637
Equation: (4,800x6.5%)+325
Step-by-step explanation:
6.5%= 0.065
So 4800 times 0.065 is 312.
Then you add 312 to the weekly salary of 325
325+312= 637
Throe would like to hire a guitarist for his charity concert. Guitarists A and B are offering their services to
Throe but each guitarist charges different initial fees and hourly rates. How can Throe check to see when
they will charge the same amount of money? Name three ways to perform this task.
Answers
Answer:
guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer
Determine the number of solutions to each system of equations.
Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT
Answers
Answer:
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Step-by-step explanation:
We will see the system of equations one by one.
First system of Equation:
[tex]y = 0.5x-2\\y=-0.5x+4[/tex]
It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution
Second System of Equation:
[tex]y=0.5x+5\\y=0.5x+1[/tex]
This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.
Third System of Equations:
[tex]y =2x+1\\y = -4x+1[/tex]
The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.
Fourth System of Equations:
[tex]y=3x+2.5\\y=3x+2.5[/tex]
The lines formed by these lines will overlap each other so there will be infinity many solutions.
Fifth System of Equations:
[tex]y=-x-3\\y=-x+3[/tex]
These equations represent parallel lines so there will be no solution.
Sixth System of Solution:
[tex]y=-x-2\\y=-x-2\\[/tex]
The system will have infinite number of solutions
Hence,
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Answer:
the first answer is correct
Step-by-step explanation:
what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )
Answers
Answer:
y = 3x-9give me brainliest please
Step-by-step explanation:
To find the equation of a line that passes through two points, use point-slope form.
[tex]y-y_{1} = m(x-x_{1})[/tex] ...
where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.
Start with the slope (m). To find the slope, you find the change in y over change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3
[tex]m=3[/tex]
Then, put the values into point-slope equation.
[tex]y-y_{1} = m(x-x_{1})[/tex] = [tex]y-3 = 3(x-4)[/tex] = [tex]y-3 = 3x-12[/tex] = [tex]y = 3x-9[/tex]
Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x
Answers
Answer:
[tex]f(x)=\frac{3}{125} * 25^x[/tex]
Step-by-step explanation:
Given
[tex]f(x)=3*5^{2x-3}[/tex]
Required
To determine if it is an exponential function, we have to write in form of
[tex]f(x) = ab^x[/tex]
If we're able to do so, then the function is an exponential function.
If otherwise, then it is not
[tex]f(x)=3*5^{2x-3}[/tex]
Apply Law of indices
[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]
Express 5^3 as 125
[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]
Factorize the exponent of 5
[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]
Express 5^2 as 25
[tex]f(x)=3*\frac{25^x}{125}[/tex]
This can be rewritten as:
[tex]f(x)=\frac{3}{125} * 25^x[/tex]
By comparing the above to [tex]f(x) = ab^x[/tex]
We have that
[tex]a = \frac{3}{125}[/tex]
[tex]b^x = 25^x[/tex]
Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]
Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function
The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.
Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]
Simplifying the given expression, we will have:
[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]
Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]
Learn more here: https://brainly.com/question/19742435
Erin wants to buy a set of paintbrushes. Store A sells a set for $25 and offers a 10% discount. Store B sells a set for $27 and offers a 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from lowest price to highest price for a set of paintbrushes.
Answers
B: 27x(1-0.2)=21.6
C: 26x(1-0.15)=22.1
Answer: Store B (lowest price), store C and store A (highest price).
Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid
Answers
Answer:c
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
225 divided by 25 is 9.
A question on a history test asks you to match 10 dates with 10 events. In how many ways could you possible answer this question?
There are (BLANK) ways to answer the question.
**Make sure to enter numbers without commas & round any decimals to the nearest hundredth**
Answers
Answer:
110
Step-by-step explanation:
Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.
Which of the following can be used to find the measure of angle C, angle D, and ankle E?
A-Pythagorean Theorem
B-Triangle Sum Theorem
C-Isosceles Triangle Theorem
D-AAA Postulate Theorem
Answers
The sum o three - fourths of a number and eleven is fourteen.
Answers
Answer:
3x+5 ????
Step-by-step explanation:
Which of the following finds T given I, P and R
Answers
Answer:
D. T= I/PR
Step-by-step explanation:
PRT are multiplyed so you divide PR to get T by itself.
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Step-by-step explanation:
sin90 = sinx
19 17
sin x=0.8947
x=63.47°
Please HELP!! It’s due today
Answers
Answer:
For C all she has to do is look at the chart-
0=0
1=4
2=8
3=12
4=16
Explain in your own words why you would use division to change a smaller unit to a bigger one . What would happen if you multiplied instead ? TOPIC IS MEASUREMENT
Answers
Answer:
you would use division to change bigger units into smaller ones as a form of cancellation