Using the cosine law, the measure of angle R is calculated as approximately: a. 44.5°.
How to Use the Cosine Law to Solve a Triangle?The cosine law is expressed as follows:
cos R = [s² + q² – r²]/2sq
Given the following side lengths of triangle QRS:
Side q = 11,
Side r = 17,
Side s = 23.
Plug in the values into the cosine law formula:
cos R = [23² + 11² – 17²]/2 * 23 * 11
cos R = 361/506
Cos R = 0.7134
R = cos^(-1)(0.7134)
R ≈ 44.5°
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PLEASE HELP
write a two step equation from the verbal model: Eight less than three times a number is sixteen. look at picture for answer choices
NO SPAM, OR I’LL REPORT
Answer:
D. 3x-8=16
Step-by-step explanation:
Eight less (-8) than 3 times a number (3x) equals sixteen (16).
Which of the following best describes a directed line segment?
1, A directed line segment is a line segment with a specified direction.
2, A directed line segment is a line segment with a specified direction and one endpoint labeled as the initial point.
3, A directed line segment is a line segment.
4, A directed line segment is a line segment with one endpoint labeled as the initial point.
Answer:
2,A because it's a line with a specified direction
Answer:
A is the correct answer
Step-by-step explanation:
Thats your answer
A handyman charges $30 for supplies and
then $45 per hour for labor. Another
contractor includes the cost of supplies in his
hourly wage, which is $60 per hour. How
many hours would be needed for the cost of
each to be the same?
Answer:
30 hours
Step-by-step explanation:
30+45x=60+45x
45x=30+45x
x=30
Answer:
2 hours
Step-by-step explanation:
Please mark Brainliest when able.
soit B(x)=4x²-12x. Résoudre dans R l'équation B(x)=-9
Answer:
B(-9) = 432
Step-by-step explanation:
B(x) = 4x² - 12x
B(-9) = 4(-9)² - 12(-9)
B(-9) = 4(81) + 108
B(-9) = 324 + 108
B(-9) = 432
Answer:
432
Step-by-step explanation:
B(x) = - 9
Replacing the value of x in the equation,
4x² - 12x
= 4 * (-9)² - 12 * (-9)
= 4 * 81 + 108
= 324 + 108
= 432
_________
hope this helps!
Construct the linear function for the graph
Answer:
y = 0.5x -3 or y = 1/2x -3
Step-by-step explanation:
y = mx+b
m = slope = change in y/change in x = 1 / 2
b = y intercept = (0,-3)
y= 1/2x-3
What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3
The equation of the vertical asymptote is x = -3
The function is given as:
\(y =\frac{5x +1}{x + 3}\)
Assume the equation of the function is:
\(y =\frac{m(x)}{n(x)}\)
So, by comparison;
We have:
\(n(x)=x + 3\)
Set n(x) to 0
\(x + 3 = 0\)
Subtract 3 from both sides
\(x = -3\)
Hence, the equation of the vertical asymptote is x = -3
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I need help asap, it was due yesterday and i still dont get it. will give 30 points ! plssss
will mark you brainliest and no links because i have a resticted computer. will report if link.
plsss its very easy for other people. i need help asap
Answer:
I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!
Juan is working two summer jobs, making $12 per hour babysitting and making $16 per hour lifeguarding. In a given week, he can work at most 17 total hours and must earn at least $240. If Juan worked 3 hours babysitting, determine all possible values for the number of whole hours lifeguarding that he must work to meet his requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
\text{Let }b=
Let b=
\,\,\text{the number of hours babysitting}
the number of hours babysitting
\text{Let }l=
Let l=
\,\,\text{the number of hours lifeguarding}
the number of hours lifeguarding
\text{\textquotedblleft at most 17 hours"}\rightarrow \text{17 or fewer hours}
“at most 17 hours"→17 or fewer hours
Use a \le≤ symbol
Therefore the total number of hours worked in both jobs, b+lb+l, must be less than or equal to 17:17:
b+l\le 17
b+l≤17
\text{\textquotedblleft at least \$240"}\rightarrow \text{\$240 or more}
“at least $240"→$240 or more
Use a \ge≥ symbol
Juan makes $12 per hour babysitting, so in bb hours he will make 12b12b dollars. Juan makes $16 per hour lifeguarding, so in ll hours he will make 16l16l dollars. The total amount earned 12b+16l12b+16l must be greater than or equal to \$240:$240:
12b+16l\ge 240
12b+16l≥240
\text{Plug in }\color{green}{3}\text{ for }b\text{ and solve each inequality:}
Plug in 3 for b and solve each inequality:
Juan worked 3 hours babysitting
\begin{aligned}b+l\le 17\hspace{10px}\text{and}\hspace{10px}&12b+16l\ge 240 \\ \color{green}{3}+l\le 17\hspace{10px}\text{and}\hspace{10px}&12\left(\color{green}{3}\right)+16l\ge 240 \\ l\le 14\hspace{10px}\text{and}\hspace{10px}&36+16l\ge 240 \\ \hspace{10px}&16l\ge 204 \\ \hspace{10px}&l\ge 12.75 \\ \end{aligned}
b+l≤17and
3+l≤17and
l≤14and
12b+16l≥240
12(3)+16l≥240
36+16l≥240
16l≥204
l≥12.75
\text{The values of }l\text{ that make BOTH inequalities true are:}
The values of l that make BOTH inequalities true are:
\{13,\ 14\}
{13, 14}
\text{(the final answer is this entire list)}
(the final answer is this entire list)
c) Calculate the availability, \( A_{s} \), of the following systems in terms of the availability of each individual unit: i) series ii) parallel [2 marks] [2 marks]
In a series system, the availability is the product of the availability of each individual unit. In a parallel system, the availability is the complement of the probability that all units have failed.
c) To calculate the availability of systems in terms of the availability of individual units:
i) Series: In a series system, the failure of one unit results in the failure of the entire system. Therefore, the availability of the series system is the product of the availability of each individual unit. That is, if we have n units in series with availability A1, A2, ..., An, the availability of the series system is given by:
As = A1 × A2 × ... × An
ii) Parallel: In a parallel system, the system operates as long as at least one unit is functioning. Therefore, the availability of the parallel system is the complement of the probability that all units have failed. That is, if we have n units in parallel with availability A1, A2, ..., An, the availability of the parallel system is given by:
As = 1 - (1 - A1) × (1 - A2) × ... × (1 - An)
Note that the availability of each unit should be expressed as a decimal or a fraction, and not as a percentage.
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show your work
PLEASE!
Hey there! :)
Answer:
x = 12.
Step-by-step explanation:
Given:
\(\frac{3}{5} = \frac{x}{20}\)
Cross multiply to solve for x:
3 · 20 = 5 · x
60 = 5x
Divide by 5:
12 = x.
Answer:
so x=12
Step-by-step explanation:
\(\frac{3}{5}=\frac{x}{20}\\ by cross multiplication\)
3×20=5×x
60=5x
dividing 5 on both sides
60/5=5x/5
x=12
i hope this will help you :)
hertz runs a sale or both avis buys new cars and budget lowers rates.
The statement you provided mentions two separate events involving different companies lower rates
1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in discounted prices or promotional deals on their rental services.
2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that new cars to add to their fleet. On the other hand, Budget, yet another car rental the company, is reducing their rental rates.
These events indicate of independent actions taken by the respective companies and are not directly connected to each other.
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PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS ASAP
Would you expect distributions of these variables to be uniform, unimodal, or bimodal? symmetric or skewed? explain why.
The expectation of the distributions are:
a) Uniform and Symmetric, due to the fact that a lot of it will be the same age.
b) Unimodal and skewed, due to the fact that a lot of it will have 0,1 or 2 siblings, but some might have more.
c) Unimodal and symmetric, due to the fact that a lot of it will have their pulse rates take on about similar average value, some will have a lower pulse rate and others will have a higher pulse rate.
d) Uniform and Symmetric, due to the fact that the number of time each face is seen should be about the same time.
What Is Symmetrical Distribution?A symmetrical distribution is known to be one that occurs if the values of variables shows at regular frequencies and it is seen to be the mean, median, and mode all takes place at the same point.
Hence, The expectation of the distributions are:
a) Uniform and Symmetric, due to the fact that a lot of it will be the same age.
b) Unimodal and skewed, due to the fact that a lot of it will have 0,1 or 2 siblings, but some might have more.
c) Unimodal and symmetric, due to the fact that a lot of it will have their pulse rates take on about similar average value, some will have a lower pulse rate and others will have a higher pulse rate.
d) Uniform and Symmetric, due to the fact that the number of time each face is seen should be about the same time.
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See question below
Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little League game. b) Number of siblings of people in your class. c) Pulse rates of college-age males. d) Number of times each face of a die shows in 100 tosses.
A sphere has a volume that is 36 cubic meters. Find the radius of the sphere.
Answer:
2.05m
Step-by-step explanation:
Lindsey usd 2/3 cups of sugar to make 1/2 batch of cookies. How much sugar should she use to make a full batch of cookies?
Lindsey would need to use 4/3 cups of sugar to make a full batch of cookies.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use proportions to solve this problem.
If 2/3 cups of sugar are used to make 1/2 batch of cookies, then we can set up the following ratio:
2/3 cups of sugar : 1/2 batch of cookies
We want to find how much sugar is needed for a full batch of cookies. Let's call this amount x cups of sugar.
We can set up another ratio:
x cups of sugar : 1 full batch of cookies
To solve for x.
(2/3 cups of sugar) x (1 full batch of cookies) = (1/2 batch of cookies) x (x cups of sugar)
2/3 = 1/2 (x)
x = (2/3) / (1/2)
x = 4/3
Therefore,
Lindsey would need to use 4/3 cups of sugar to make a full batch of cookies.
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Please help me on this question 20 points
Answer:
\(\left[\begin{array}{cc}10\\24\end{array}\right]\)
Step-by-step explanation:
Trial and error lol
in a school, students either study french, german or spanish. They study one language each. 11 percent of students study french 27percent students study spanish. what fraction of the students study German
Answer:
62%
Step-by-step explanation:
First, you got the formulate: 1-27%-11%
Second, calculate the difference: 0.73-0.11
Third, the sum is 0.62
Then you multiply 0.62 ×100\100
Write a single fraction: 0.62×100\100
Calculate the product or quotient: 62\100
100% to a percentage: 62%
That is your answer 62%
Suppose your friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 years?
- this is a simple interest question, so you should know the formula for this.
simple interest: i = prt
i - interest
p - principle amount (deposit)
r - rate
t - time in years
the problem: -- this is a two step question, since its asking for the balance.
i = prt
i = 10,000(0.07)(8)
i = 5600
- remember this is just the interest, NOT the balance.
to find the balance:
5600 + 10000 = 15600
FINAL ANSWER:
$15,600
-- let me know if you have any questions regarding this.
the expected cell frequency is based on the researcher's opinion.
True or false
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
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What is the first step to solve for y for -x+2y=-10
Answer:
-x +2y = - 10
2y = x - 10
y. = x - 10/2
hope it helps ☺️☺️
Graph would be the first step!
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
There are 28 students at a Halloween party, 12 of the students are boys. What is the ratio of students to girls at the party?
Group of answer choices
28:12
28:16
Answer:
28:16
Step-by-step explanation:
Answer:
28:16
Step-by-step explanation:
28-12 = 16
12 is the number of boys
16 is the number of girls
Therefore, 28:16 is the answer.
Hope this helps!
HURRY PLEASEEE
You might have to zoom into the picture
Answer:D) GH and G'H' AREN'T Congruent
Step-by-step explanation:
Dilations are not rigid transformations and therefore do not preserve length but only angle size and shape. GH and G'H' are not equal or congruent.
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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Hello! High school student in Calculus here. I need help solving the problem attached in the image. I'd like help FINDING THE SLOPE at point (pi/2, 0) according to the function:g(x) = cot x. I would greatly appreciate it, thank you! :)))
Given the function:
\(g(x)=\cot x\)we know that the derivative of g(x) is:
\(g^{\prime}(x)=-\csc ^2x\)then, the slope at point (pi/2,0) is:
\(\begin{gathered} g^{\prime}(\frac{\pi}{2})=-\csc ^2(\frac{\pi}{2})=-\frac{1}{\cos ^2(\pi)}=-\frac{1}{(-1)^2}=-\frac{1}{1}=-1 \\ \Rightarrow g^{\prime}(\frac{\pi}{2})=-1 \end{gathered}\)therefore, the slope is g'(pi/2) = -1
Attempted Solution:3x+27=6x in 2 cases
Answer:
9
Step-by-step explanation:
You take 3x and subtract it from both sides.
3x-3x+27=6x-3x
You now should have 27=3x. Divide 3 from 27 to get 9 as your total.
I would like to know the answer to problem 3 please.
Remember that
The length of the diagonal of the inscribed square is equal to two times the radius of the circle
In this problem
The radius is 2 units
therefore
The length of the diagonal is 4 units
The answer is the option B45% of a number is 34. Find the number.
if you could explain that would be great thx!!!
Step-by-step explanation:
45% of number = 34
100% of number = 34 * (100/45) = 680/9.
The number is 680/9.
Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer
the answer is 28:)
7x4=28
is it possible to have a function f defined on [ 5 , 6 ] and meets the given conditions? f is continuous on [ 5 , 6 ], takes on the values − 5 and 5 but does not take on the value 0.
No.
The intermediate value theorem (IVT) says that if \(f(x)\) is continuous on \([a,b]\), and if \(d\) is a number between
\(\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}\)
then there is some \(c\in(a,b)\) such that \(f(c) = d\).
In this case we have for all \(x\in[5,6]\),
\(-5 \le f(x) \le 5\)
0 falls in this range, so by continuity of \(f\) and the IVT, there must be some number \(x\in(5,6)\) such that \(f(x) = 0\).