se a calculator to find the value of the following expression rounded to two decimal places. cos^-1 2/3
Answers
The value of \(cos^{-1}(\frac{2}{3})\) is 0.84 radian or 48.18°
Given,
\(cos^{-1}(\frac{2}{3})\)
It is an inverse trigonometric function.
Inverse trigonometric functions are also known as "Arc Functions" because they produce the length of arc required to obtain a given value of trigonometric functions. Inverse trigonometric functions are the inverse of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are particularly useful for right angle triangles. When two sides of a right triangle are known, these six important functions are used to find the angle measure.
Thus, the value of \(cos^{-1}(\frac{2}{3})\) using a calculator is 0.84 radian or 48.18°
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Related Questions
On a computer screen, PLS HELP ASAP!!!!!!!!!!!!
Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A’ (4,-5) , B’(7,-7), and C’(7,-4) ?
Answers
Answer: D
Step-by-step explanation: reflecting about the line y=-1, followers by translating 8 units to the right
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answers
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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Please help!! First one to answer gets brainliest
Answers
Alex knits hats and scarves to sell at a craft market. He can make at most 20 hats and 30 scarves, but no more than 40 items altogether, in time for the market.
Write and graph a system of inequalities that shows the possible numbers of hats and scarves Alex can bring to the craft market if he wants to bring at least 25 items. Identify three (3) possible combinations, and say which he should
choose.
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The three (3) possible combinations are
hats = 10, scarves = 30hats = 10, scarves = 20hats = 20, scarves = 20Alex should 20 hats and 20 scarves
How to find the possible combinations Alex can bring to the marketLet the number of scarves be x and y be the number of hats
He can make at most 20 hats and 30 scarves, but no more than 40 items altogether
x ≤ 20
y ≤ 30
x + y ≤ 40 (in time of market)
x + y ≥ 25
The possible combinations are
1 ⇒ x = 10, y = 302 ⇒ x = 10, y = 203 ⇒ x = 20, y = 20He should choose the third option x = 20, y = 20 this allows him to take more products to the show
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Survey: 100 people were asked if they like dogs or cats. Using the two-way table, what percent of the females only said they like cats?
A. 48/100 = 48%
B. 39/100 = 39%
C. 39/48 = 81%
D. 49/100 = 49%
Answers
Answer:
C. 39/48 = 81%
Step-by-step explanation:
To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.
According to the provided two-way table:
Number of females who only said they like cats = 39
Total number of females surveyed = 48
To calculate the percentage:
Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100
Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%
Therefore, the correct option is:
C. 39/48 = 81%
How can we do this math problem?
Answers
Answer:
b) 92
Step-by-step explanation:
1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.
2. it is possible to substitute the value 60 (F=60) into the given equation:
\(60=(\frac{Z}{2}+14);\)
3. if to solve the equation above, then Z=92
The sum of three consecutive integers is 71 less than the least of the integers. Find the integers.
Answers
Answer:
-37, -36, -35
Step-by-step explanation:
x+x+1+x+2=x-71
3x+3=x-71
2x=-74
x=-37
So x=-37, x+1=-36, x+2=-35
Add these three numbers and you get -108 which is 71 less than -37
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answers
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
help me pls ........................
Answers
Answer:
The answer is
\(y = 3x + 5\)
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ↶
\(y = mx + b\)
❃Since we already have the slope, we don't need to solve for that.
➊ First: We are going to find the y-intercept.
\(y = mx + b \\ 2 = 3( - 1) + b \\ 2 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: }{5 = b}\)
➋Second: Plug in.
\(y = 3x + 5\)
**Due soon, pls help!**
A store sold 1,300 bicycles last year. This year the store sold 1,144. What is
the percent of decrease in the number of bicycles sold from last year to
this year?
A. 12%
B. 14%
C. 78%
D. 88%
Answers
Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
Answers
Answer:
A
Step-by-step explanation:
I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)
if these are the options, then I think its A
2.
Ms. Lecky ordered pizza for a party. 1 5/8 of the vegetarian pizza and 2/3
of the ham and pineapple pizza were not eaten. How much pizza was left
Answers
Convert to improper fraction
x = 13/8 + 2/3
Use common denominator
x = 39/24 + 16/24
x = 55/24
Reduce the fraction
x = 2 7/24
hi could somebody help me without guessing please...
Answers
Answer:
120.
Step-by-step explanation:
hope this helps
solve the equation x^2 + 6x - 3 = 0 by completing the square
Answers
Answer: X1= -2\(\sqrt{3}\) -3 , X2= 2\(\sqrt{3}\) -3
Step-by-step explanation:
Answer:
\(x=-3+2\sqrt{3}\)
\(x=-3-2\sqrt{3}\)
Step-by-step explanation:
To solve the equation x² + 6x - 3 = 0 by completing the square, first move the constant term to the right side of the equation by adding 3 to both sides:
\(x^2 + 6x = 3\)
Add the square of half of the coefficient of x to both sides of the equation:
\(x^2 + 6x + \left(\dfrac{6}{2}\right)^2 = 3 + \left(\dfrac{6}{2}\right)^2\)
Simplify:
\(x^2 + 6x + \left(3\right)^2 = 3 + \left(3\right)^2\)
\(x^2 + 6x + 9 = 3 + 9\)
\(x^2 + 6x + 9 = 12\)
Factor the left side of the equation:
\((x + 3)^2 = 12\)
Square root both sides of the equation:
\(\sqrt{(x + 3)^2} = \pm \sqrt{12}\)
\(x+3= \pm \sqrt{12}\)
Subtract 3 from both sides of the equation to isolate x:
\(x=-3 \pm \sqrt{12}\)
Simplify √(12):
\(x=-3 \pm \sqrt{2^2 \cdot 3}\)
\(x=-3 \pm \sqrt{2^2} \sqrt{3}\)
\(x=-3 \pm 2\sqrt{3}\)
Therefore, the solutions to the equation are:
\(\boxed{\begin{aligned}x&=-3+ 2\sqrt{3}\\x&=-3-2\sqrt{3}\end{aligned}}\)
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answers
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
Find the measure of each interior angle.
Answers
Answer:
d. m<R = 128, m<S = 52, m<T = 128, m<U = 52
Step-by-step explanation:
The sum of interior angles in this rectangle is equal to 360°
6x - 4 + 2x + 8 + 2x + 8 + 6x -4 = 360° add like terms
16x + 8 = 360 subtract 8 from the both sides
16x = 352 divide both sides by 16
x = 22 now to find the value of each angle replace x with 22
Find the final hourly wage if a $10.50 starting wage is increased by 6% each year for 7 years.
Answers
Answer:
In seven years the hourly rate will be $15.79.
Step-by-step explanation:
Giving the following information:
Hourly rate= $10.5
Number of periods= 7 years
Increase rate (i)= 6%
To calculate the hourly rate in 7 years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 10.5*(1.06^7)
FV= $15.79
In seven years the hourly rate will be $15.79.
what are the domain and range of the following quadratic
Answers
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
Module 3 Chp 21 - Q13
.
A batch of 900 parts has been produced and a decision is needed
whether or not to 100% inspect the batch. Past history with this
part suggests that the fraction defect rate is
Answers
A batch of 900 parts has been produced and a decision is needed whether or not to 100% inspect the batch. Past history with this part suggests that the fraction defect rate is.
We have to determine the fraction defect rate. Given that a batch of 900 parts has been produced and a decision is needed whether or not to 100% inspect the batch. Also, past history with this part suggests that the fraction defect rate is. Let the fraction defect rate be p.
The sample size, n = 900.Since the value of np and n(1-p) both are greater than 10 (as a rule of thumb, the binomial distribution can be approximated to normal distribution if np and n(1-p) are both greater than 10), we can use the normal distribution as an approximation to the binomial distribution. The mean of the binomial distribution,
μ = n
p = 900p
The distribution can be approximated as normal distribution with mean 900p and standard deviation .
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Down the Drain: In a typical 5-minute shower, 30 gallons of water flow down the drain. How much water is used after 10 minutes?
Answers
Answer: 60 gallons
Step-by-step explanation:
5 minute = 30 gallons
10 minutes will use double as m uch water because it's double as much time
Therefore, it will use 60 gallons of water
Multiply the following binomials using an area model (x+3)(x-3)*
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Answer:
0
Step-by-step explanation:
HELP PLSSSSSSSSSSSSS
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plssss help me with this:(( pls answer correctly:)))
Answers
Answer:
17: A. quadrant 1
18: B. rene descartes
if Devaughn is 13 years older than Sydney. and The sum of their ages is 67 what is sydney's age
Answers
Answer:
27
Step-by-step explanation:
Sydney's age = x
x + 13 = Sydney's age
67 - 13 = 54
54 divided by 2 = 27
Solve for x and show work.
Answers
Answer:
17x+4=123(alternate angle)
17x=123-4
17x=119
x=7
Discuss why even though there are a limited number elements, there
is an infinite number of types of matter (2-3 sentences). Make sure
to discuss matter composition and/or geometry.
Answers
The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.
While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.
Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.
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What s the value of 2 to the negative third power times 2 to the second power
Answers
The answer would be 0.5. You're welcome!
1. Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? 2. What is the vertex of the parabola with the equation y=(x−2)2+10?
Answers
Answer:
Step-by-step explanation: u hv 2 make a table for x and y and put in #'s like 1,2,3,4 so u get 1 side of the parabola. x-1, y-11/x-2,y-11/x-3,y-11/x-4,y-14; here u c that u have 2 y's=11 so the points between are the Vertex Points of (2,10)
X has a coefficient, the vertext is (2,10)
8 39/40 written as a decimal
Answers
answer : 8.975
8 39/40 = 8.975