Answer:
cosjk = √55 i/3
tanjk = 8/√55 i
Step-by-step explanation:
Given
sin jk = 8/3
According to SOH CAH TOA
Sin theta = opposite/hypotenuse = 8/3
Opposite = 8
hypotenuse = 3
Get the adjacent using the pythagoras theorem
hyp² = opp²+adj²
adj² = hyp² - opp²
adj² = 3² - 8²
adj² = 9-64
adj² = -55
adj = √-55
adj = √55 i (i = √-1)
Get cosjk
cosjk = adj/hyp
cosjk = √55 i/3
Get tanjk
tanjk = opp/adj
tanjk = 8/√55 i
evaluate-a-function f(x) = [tex]\frac{x}{7}[/tex] f(7) =
Step-by-step explanation:
Hey there!
f(x) = 7/x
~ Simply keep the "7" in the place where "x" is there.
[tex]f(7) = \frac{7}{7} [/tex]
Therefore, X= 1.
Hope it helps....
Answer:
After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
Step-by-step explanation:
We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)
For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]
So, putting x= 7 and finding f(7)
[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]
So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
2.3 + 12.3x = 14.6 whats x?
Answer:
x = 1
Step-by-step explanation:
12.3 + 2.3 = 14.6
If you multiplied 12.3 by 1 it would still be 12.3
Pls help I put a pic of problem
Answer:
a
Step-by-step explanation:
The small zoo at Nichols Park charges $8 for adult admission, $5 for child admission (18 years old and under), and $3 for senior admission (60 years old and over). For one day, the zoo collected $539 and admitted 96 visitors. If the adult admission is 9 more than the senior admission, how many persons of each category were admitted on this particular day?
Answer:
32 seniors, 41 adults, and 23 children were admitted.
Step-by-step explanation:
To make things a bit simpler, we can represent all three kinds of tickets in terms of one variable, [tex]x[/tex]. Let the number of senior visitors be [tex]x[/tex]. Then, since 9 more adults were admitted as compared to the seniors, we can let the number of adult visitors be [tex]x+9[/tex]. Therefore, since there were 96 visitors in total, we know that the number of child visitors is 96 subtracted by the total number of adult and senior visitors. The total number of adult and senior visitors is [tex]x+x+9=2x+9[/tex]. Thus, the number of child visitors is [tex]96-(2x+9)=96-2x-9=-2x+87[/tex].
Now, all we have to do is write an equation to solve for [tex]x[/tex]. Since senior admission costs $3, we can represent the money earned from it as [tex]3*x=3x[/tex]. Since adult admission costs $8, we can represent the money earned from it as [tex]8*(x+9)=8x+72[/tex]. Finally, since child admission costs $5, we can represent the money earned from it as [tex]5*(-2x+87)=-10x+435[/tex]. Since we know that the zoo collected $539 in total, we can write the following equation to solve for x:
[tex]3x + 8x+72-10x+435=539[/tex]
[tex]x+507=539[/tex] (Simplify LHS)
[tex]x=32[/tex] (Subtract 507 from both sides)
Therefore, 32 seniors were admitted. Since [tex]x=32, x+9=32+9=41[/tex], so 41 adults were admitted, and finally, since [tex]x=32,-2x+87=-2*32+87=-64+87=23[/tex], so 23 children were admitted. Hope this helps!
Plz help me my maths hw is due in a couple of hrs!!!
Romb ma obwód równy 32 cm. Jakie jest pole tego rombu, jeżeli jego wysokość ma 3 cm?
Answer:
24 cm²
Step-by-step explanation:
Z zadanego powyżej pytania uzyskano następujące dane:
Obwód (obwód) = 32 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
Następnie określimy długość boku rombu. Można to uzyskać w następujący sposób:
Obwód, czyli obwód (P) = 32 cm
Strona (y) =?
P = 4 s
32 = 4 s
Podziel obie strony przez 4
s = 32/4
s = 8 cm
Stąd długość boku rombu wynosi 8 cm
Na koniec określimy obszar rombu w następujący sposób:
Długość boków = 8 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
A = sh
A = 8 × 3
A = 24 cm²
Dlatego obszar rombu jest
24 cm².
Find the third side in simplest radical
form:
3
5
Answer:
4?
Step-by-step explanation:
Jason was hired to mow a lawn that covers an area of 2 3/4 acres. It took him 4 1/8 hours to complete the job. What was his unit rate in hours per acre?
In this activity, you will multiply the numerator in a complex fraction by the reciprocal of the denominator to calculate a unit rate involving fractions. Answer the questions below to calculate Jason’s unit rate as he mowed.
Answer:
2 3/4 = 11/4
4 1/8 = 33/8
11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3
He mowed 2/3 of an acre per hour
Step-by-step explanation:
please help me!! :)
Answer:
C is your answer
Step-by-step explanation:
A triangle has two sides of length 5 and 19. What is the smallest possible whole-number length for the third side?
Answer:
13
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is
difference of 2 sides < x < sum of 2 sides , that is
19 - 5 < x < 19 + 5
14 < x < 24
Thus the smallest whole number length of the third side is 13
It takes one pizza to feed three people. How many pizzas will it take to feed forty-eight people?
Answer:
option 3-- 16 pizzas
Step-by-step explanation:
divide 48 by 3 = 16
Answer:
16 pizzas will feed 48 people
Step-by-step explanation:
If 1 pizza feeds 3 people it will take 16 pizzas to feed 48.
48/3=16
44 is 2 thirds of a number, what is the number?
Answer:
The number is 66
Step-by-step explanation:
Since 44 is two thirds of a number, 44/x = 2/3
If you multiply the numerator and denominator of 2/3 by 22, you get 44/66
Since 44/x = 44/66,
x=66
If 44 is 2 thirds of a number, then the number is 77.
We can solve this problem by setting up the following equation:
2/3 * x = 44
Where x is the unknown number.
To solve for x, we can multiply both sides of the equation by 3/2. This gives us the following equation:
x = 44 * (3/2)
Simplifying the right side of the equation, we get x = 77.
Therefore, the number is 77.
Here is the solution in more detail:
Define the variables.
x: The unknown number.
Set up the equation.
We know that 2/3 of the number is 44, so we can set up the equation 2/3 * x = 44.
Solve for x.
To solve for x, we can multiply both sides of the equation by 3/2. This gives us the equation x = 44 * (3/2).
Simplifying the right side of the equation, we get x = 77.
The answer.
Therefore, the number is 77.
To learn more about number here:
https://brainly.com/question/3589540
#SPJ2
PLEASE HELP THIS IS THE THRID TIME I POSTED THIS
equation: f(x) = 3/2x - 3
the line is linear and proportional
the line is linear because it has a steady rate of change, which is 3/2, and the equation is in the y=mx+b form. it is also proportional because as the x value increases, the y value also increases.
slope: 3/2
the y intercept is -3
Which measure Is the sarne as the standard error of the mean?
A. Standard devlation of the population
B. Standard devlation of the sample means
C. mean of the sarnple
D. mean of the population
Answer:
The answer is B.
Step-by-step explanation:
The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution.
Formula of the standard error of the means is standard deviation divided by square root of the sample size.
SE = δ/√n
This formula also gives the standard deviation of the sample means.
The answer is standard deviation of the sample (B).
For example, "The notation for standard error can be any one of SE, SEM (for standard error of measurement or mean)."
Use the functions to answer the question: What is f(x)-g(x)?
Answer:
4x^2 + 6x - 6
Step-by-step explanation:
x^2 + 2x - 5 - (-3x^2 - 4x + 1)
x^2 + 2x - 5 + 3x^2 + 4x - 1
4x^2 + 6x - 6
Plug in the equations and combine like terms.
Hope this helps!
if you can buy three loaves of bread for $5 how many loaves can you buy with $12.
Answer:
45
Step-by-step explanation:
Is -8 a solution to the equation 8x +2=3x + 13
Answer:
No.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8x + 2 = 3x + 13
Step 2: Solve for x
Subtract 3x on both sides: 5x + 2 = 13Subtract 2 on both sides: 5x = 11Divide 5 on both sides: x = 11/5What is the smallest integer value of r for which it is true that -2.5 < r < 7?
Answer:
[tex]r = -2[/tex]
Step-by-step explanation:
Given
[tex]-2.5 < r < 7[/tex]
Required
Determine the smallest value or r
For an inequality [tex]a < r < b[/tex]
The smallest value is represented as:
[tex]r>a[/tex]
In this case:
[tex]a = -2.5[/tex]
[tex]b = 7[/tex]
So:
[tex]r>a[/tex] becomes
[tex]r > -2.5[/tex]
r > -2.5 implies that the value of r is greater than -2.5
The smallest integer value after -2.5 is -2
Hence, the smallest value of r in this case is:
[tex]r = -2[/tex]
From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to look up a 40° angle to see the top of the same building approximately how tall is the building
For this case, what we must do is solve the following system of equations: tan (50) = h / x tan (40) = h / (x + 50)
Solving the system we have: (x + 50) * tan (40) = h (x) * tan (50) = h
Matching: (x + 50) * tan (40) = (x) * tan (50)
Rewriting: x (tan (50) - tan (40)) = 50 * tan (40) x = 50 * tan (40) / (tan (50) - tan (40)) x = 118.9692621
Substituting: h = (x) * tan (50) h = (118.9692621) * tan (50) h = 141.7820455
B. 141.8ft
3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Given:
Consider the three point of second line are S, R, V instead of S, R, W.
A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle TRS=(2x+18)^\circ[/tex]
To find:
The m∠SRW.
Solution:
The figure according to the given information is shown below (not to scale).
From the below figure it is clear that, [tex]\angle VRW[/tex] and [tex]\angle TRS[/tex] are vertically opposite angles. So, their measures are equal.
[tex]3x=2x+18[/tex]
Subtract 2x from both sides.
[tex]3x-2x=18[/tex]
[tex]x=18[/tex]
Using x=18 the measure of angle VRW is
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle VRW=(3\times 18)^\circ[/tex]
[tex]\angle VRW=54^\circ[/tex]
Now,
[tex]\angle VRW+\angle SRW=180^\circ[/tex] [Linear pair]
[tex]54^\circ+\angle SRW=180^\circ[/tex]
[tex]\angle SRW=180^\circ-54^\circ[/tex]
[tex]\angle SRW=126^\circ[/tex]
Therefore, the correct option is C.
Answer:
126
Step-by-step explanation:
i just got the right answer
A hot air balloon is dropping from a height above the ground at a steady rate of 8 feet per second. It starts from a height of 765 feet. After t-seconds it has hit a height of 421 feet. Set up and solve an equation for the value of t.
2/8 is considered a real number. True or false.
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
2/8
÷2
1/4
1/4=0.25
1/8=0.25
Sara says, "If you subtract 14 from my number and multiply the difference by - 4, the result is - 44."
What is Sara's number?
Answer: I believe that the answer would be 25.
Step-by-step explanation:
HOPE IT HELPS :)
simplify the expression 3 √ 2 - 5 √ 18
Hi, I still have to struggle with this and it's due later today! If someone could show me how to do it I will make you're a brain list and give you 28 points I need help w part C to E. I would appreciate it.
Answer:
C) Explain how the equations are equal and just prove it with a check or just plug in a number like for ex: x=1 and I checked with both and it equals out.
d) Use inverse operations (or you can say do the order of operations in reverse and then use invers operations), provide an example if you think what you said doesn’t make sense, like for
Ex: 2x-1=43+5x
2x=44+5x (add the -1)
-3x=44 (subtract 5x to both sides)
X=44/-3 (isolate the variable by dividing 3 on both sides)
An example is always better
E) Just use inverse operations and solve it like what you would normally do
I hope I helped
pleeeese help. the question is easy
Answer:
the answer is : -2x^2+13
Step-by-step explanation:
pls mark brainliest plspls
oh and btw hows ur day been going, hope good, make sure to not forget to drink water :)
Find the value of x.
m22 = 3x + 13
40°
N
X=
Step-by-step explanation:
ttgiffkydfhigdfgkfee FM 8
PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
You buy one can of Red Bull for $2 and x bags of Skittles. Write an equation to model the total cost, y, of one can of Red Bull for $2 and x bags of Skittles. Next, what is the total cost if you buy 4 bags of Skittles?
Answer:
y = x + 2
Step-by-step explanation:
The total cost if you buy 4 bags of Skittles is $6.
Find the product of 6/7•5/7
Hey there!
The word “product” simply means the result of a multiplication equation
MULTIPLY the NUMERATORS (TOP numbers) from each other and also MULTIPLY the DENOMINATORS (BOTTOM number) from each other
6(5) / 7(7) = ?
6(5) = 30 ⬅️ NUMERATOR
7(7) = 49 ⬅️ DENOMINATOR
Possible ANSWER: 30/49
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which inequality is shown in this graph?
Answer:
the constant inequality of my life, always close but never there