Answers
[tex]\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=cos(C)\implies cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2(90)(55)}\right)=\measuredangle C\implies cos^{-1}\left( \cfrac{8625}{9900} \right)=\measuredangle C \\\\\\ cos^{-1}\left( \cfrac{115}{132} \right)=\measuredangle C\implies 29.4^o\approx \measuredangle C[/tex]
Answer:
C=29.4°
Step-by-step explanation:
[tex]c=50\:ft\\\\a=90\:ft\\\\b=55\:ft[/tex]
Using law of Cosines
[tex]C=cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)\\\\C=cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2*90*55\right)}\\\\C=29.4^{o}[/tex]
~
Related Questions
Convert 3 3/8 to an improper fraction
Answers
Answer:
The improper fraction for the mixed number 8 3/8 is 67/8. To find this, the first step is to multiply the denominator of the fraction (8)
66/8
why?
8x8+2 =66/8.
Simplify =33/8
is the following relation a function?
Answers
Answer:
No, it is not a function.
Step-by-step explanation:
It is not a function, because for every X there should only be one Y.
Answer:
No.
You cant have one to many, it's too vague.
WILL GIVE BRAINLIEST
For what values of k will each relation not be a function A={(k^2,16),(4k,32)}
Answers
Answer: 0, 4
Step-by-step explanation:
Inequality question . Appreciate the help with this question . Thank you .
Answers
Answer:
B, the inequality -16.3<-10.9 means that the average winter temperature in state M is colder than the average winter temperature in state O
Step-by-step explanation:
If a number is in the negatives then the bigger those numbers are, the colder it would be.
simplify: -10+3r+2r²-r
Answers
Answer:
2r^2+2r-10
Step-by-step explanation:
collect the like terms
the like terms are
3r and r
-10+2r+2r^2
reorder the terms
2r^2 +2r-10
Bianca, Vincent, and Julian are each reading a book of the same length. Bianca’s book is divided into {6}6 chapters of equal length and she has read one of them. Vincent’s book is divided into {16}16 chapters of equal length and he’s read {8}8 chapters. The book Julian is reading has {8}8 chapters of equal length and Julian has read {4}4 of them. Which two people have read the same number of pages of their book?
Answers
Answer:
Vincent and Julian
Step-by-step explanation:
Vincent has read 1/2 his book and so had Julian
Write an equation of the line that satisfies the given conditions. Through (−9,−1), perpendicular to −9x+y=3. Answer in slope-intercept form.
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]-9x + y = 3\implies y = \stackrel{\stackrel{m}{\downarrow }}{9} x +3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {9\implies \stackrel{slope}{\cfrac{9}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{9}}}[/tex]
so we're really looking for the equation of a line whose slope is -1/9 and passes through (-9 , -1)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{1}{9}}(x-\stackrel{x_1}{(-9)}) \\\\\\ y+1=-\cfrac{1}{9}(x+9)\implies y+1=-\cfrac{1}{9}x-1\implies y=-\cfrac{1}{9}x-2[/tex]
Permutations/combinations: Really need some help!
Q. The 12 houses on one side of a street are numbered with even numbers starting at 2 and going up to 24. A free newspaper is delivered on Monday to 3 different houses chosen at random from these 12. Find the probability that at least 2 of these newspapers are delivered to houses with numbers strictly greater than 14.
Answers
Answer:
hello
probability = 5 /12
Step-by-step explanation:
How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answers
Answer:
U can tell it b doing 5+7_1
Step-by-step explanation:
Kylie borrowed $30 from her mother to buy a shirt. After three weeks of doing chores she pays her mother back $24. What percent of the debt has she paid her mother back?
Answers
Answer:
80%
Step-by-step explanation:
Set up a proportion, as shown in picture
Answer:
80%
Step-by-step explanation:
she would have 6 dollars to pay still
Please watch this instructional video, prior to solving the math problem.
Answers
Answer:
vidio no vidioe is not explained
How would 2.15 be represented as a percent?
A. 0.0215%
B. 21.5%
C. 215%
D. 2,150%
Answers
Answer:
c is the best answer
Step-by-step explanation:
Answer:
0.0215%
Step-by-step explanation:
Can someone please help me?
Answers
Answer:
a
Step-by-step explanation:
Mrs. Bennett has a collection of nickels and dimes worth $8.50. If she has 120 nickels and dimes, how many of each does she have?
No Solution
No Solution
(50 , 70)
(50 , 70)
Infinitely many Solutions (IMS)
Infinitely many Solutions (IMS)
(70 , 50)
Answers
120 dimes = 12 dollars
Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum, compounded monthly.
Answers
The discount factor computed shows that the value of each payment will be $1546.
How to calculate the payment?The following can be deduced from the information:
Payment due in 5 months = $1684
Payment due in 8 months = $1323
Annual interest = 11.40%
Monthly interest rate = 11.40%/12 = 0.95%
Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52
Present value of payment due 8 months ago = $1226.62
Total present value = $1765.52 + $1226.62 = $2992.14
After rescheduling, the payments will be in 2 months and 5 months.
Discount factor for payment due in 2 months = 0.9813
Discount factor for payment due in 5 months = 0.9538
Combined discount factors= 0.9360
Therefore, the value of each payment will be:
= $2992.14/(1 + 0.9360)
= $1546
Learn more about discount factor on:
https://brainly.com/question/24286983
2x5.2 is greater than 2.2x5 true or false?
Answers
Answer:
false
Step-by-step explanation:
2x5.2=104
2.2x5=110
2x5.2 = 10.4
2.2x5=11
so 2.2x5 is greater than 2x5.2 meaning it’s false
5 1/6 + 7 1/3 helpppppppp fasssssssssttttttt
Answers
Answer:
12 and 1/2 (12.5)
Step-by-step explanation:
Answer:
12 3/6
Step-by-step explanation:
Broken Down :
5 + 7 = 12
1/3 = 2/6
2/6 + 1/6 = 3/6
So, 12 3/6
I WILL GIVE BRAINLIESTTT
Answers
Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
Step-by-step explanation:it’s a
b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.
1/2 x - 12 = 12? Need Answer ASAP only have few mins left i studied whole night but forgot this question
Answers
Answer:
x = 48
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] x can be rewritten as [tex]\frac{x}{2}[/tex].
[tex]\frac{x}{2} - 12 = 12[/tex]
add 12 to both sides.
[tex]\frac{x}{2} = 12 + 12[/tex]
[tex]\frac{x}{2} = 24[/tex]
multiply both sides by 2.
[tex]x = 24 * 2[/tex]
x = 48
ASAP
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0
Answers
Answer:
[tex]y=\frac{-1}{3} x\\[/tex] or [tex]y=\frac{-1}{3} x + 0[/tex]
The slope is [tex]-\frac{1}{3}[/tex]
The y-intercept is 0
Step-by-step explanation:
[tex]x+3y=0\\x-x+3y=0-x\\\frac{3y}{3}=\frac{-x}{3} \\\\ y=\frac{-1}{3} x[/tex]
Answer:
Step-by-step explanation:
Isolate y to put into slope-intercept form
x + 3y = 0
3y = -x
y = - 1/3x
Slope is -1/3
Intercept is 0
Juan will divide the fraction below. Which method should he use to divide?
Answers
Answer:
its A :)brainly?
Step-by-step explanation:
What is the area of a triangle that has a base of 10 ft and a height of 5 ft? A-15ft B-7.5ft C-25ft D-50ft
Answers
Answer:
25
Step-by-step explanation:
formula for triangle is (b*h)/2=A
Use the diagram shown. Solve for x. Find the angle measures to check your work. (Edit: nevermind i got the answer)
Answers
Answer:
x = 9
m<AOB = 29°
m<BOC = 57°
m<COD = 29°
Step-by-step explanation:
Given:
m<AOB = (4x - 7)°
m<BOC = (5x + 12)°
m<COD = (2x + 11)°
The diagram shows <AOB is congruent to <COD.
Set both angles equal to each other to find x.
m<AOB = m<COD
4x - 7 = 2x + 11
Collect like terms
4x - 2x = 7 + 11
2x = 18
Divide both sides by 2
2x/2 = 18/2
x = 9
Find the measure of each angle by plugging in the value of x into each expression for each angle:
m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°
m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°
m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°
PLS HELP
Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.
Answers
Answer and Explanation:
See attached image.
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.
Answers
Answer:
its B, C and E
Step-by-step explanation:
Answer:
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply. Best Option B, C
(B) 9 Superscript negative 3
(C) 3 Superscript negative 6
Step-by-step explanation:
100 Points
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.
Answers
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers
Step-by-step explanation:
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for . Determine the following (round all of your answers to 3 decimal places): (a) Enter your answer in accordance to the item a) of the question statement .972 (b) Enter your answer in accordance to the item b) of the question statement .0123 (c) Enter your answer in accordance to the item c) of the question statement .028 (d) Enter your answer in accordance to the item d) of the question statement .972 (e) Determine such that . Enter your answer in accordance to the item e) of the question statement
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a [tex]P(X < 5) = 0.960[/tex]
b [tex]P(X > 8) = 0.016[/tex]
c [tex]P(6 < x < 10) = 0.018 [/tex]
d [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
e [tex]X = 2[/tex]
Step-by-step explanation:
From the question we are told that
The probability density function is [tex]f(x) = \frac{2}{x^3}[/tex] for x > 1
Considering question a
[tex]P(x < 5) = \int\limits^5_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X < 5) = [-\frac{1}{x^2} ]| \left \ 5} \atop {1}} \right.[/tex]
=>[tex]P(X < 5) = - \frac{1}{25} + \frac{1}{1^2}[/tex]
=> [tex]P(X < 5) = 0.960[/tex]
Considering question b
[tex]P(x > 8) =1 - \int\limits^6_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X > 8) =1- [-\frac{1}{x^2} ]| \left \ 8} \atop {1}} \right.[/tex]
=>[tex]P(X > 8) = 1 - [- \frac{1}{64} + \frac{1}{1^2}][/tex]
=>[tex]P(X > 8) = 0.016[/tex]
Considering question c
[tex]P(6 < x < 10) = \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(6 < x < 10) = [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=>[tex]P(6 < x < 10) = [- \frac{1}{100} + \frac{1}{36}][/tex]
=>[tex]P(6 < x < 10) = 0.018 [/tex]
Considering question d
[tex] P(X < 6 or X > 10 ) = 1 - P(6 < x < 10) = 1 - \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [- \frac{1}{100} + \frac{1}{36}][/tex] [/tex]
=> [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
Considering question e
[tex]P(X < x ) = \int\limits^x_1 {\frac{2}{x^3} } \, dx = 0.75[/tex]
[tex]P(X < x ) = [- \frac{1}{x^2} ]| \left \ x } \atop {1}} \right. = 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} - [- \frac{1}{1^2} ]= 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} + 1 = 0.75[/tex]
[tex] - \frac{1}{x^2} = -0.25[/tex]
[tex]X = 2[/tex]
Abigail sells dolls at her doll store. If she sells a doll for $55, and there is 8% sales tax, what is the tax amount a customer will pay on one doll? Round your answer to the nearest cent.
help please
Answers
Answer:
The tax amount a customer will pay on one doll is $4.4
Step-by-step explanation:
To find 8% of 55, you multiply .08 by 55, which is 4.4
Please give brainliest!
Need to know quick please
Answers
[tex]check \: photo \: for \: detailed \: analysis[/tex]
Match the vocabulary terms to the correct definitions.
1.
a number that when multiplied by itself (squared) equals a
given number
2) perfect square
any rational number that is the square of another rational
number
3) a number which, when in decimal form, does not terminate or
repeat
answer choices: square root , perfect square , irrational number
Answers
Answer:
1) Square root
2) Perfect Square
3) Irrational Number
Step-by-step explanation: