Use the Law of Cosines to find the measure of ∠F. Round to the nearest degree.
f = 5, g = 6, h = 7
Use: f² = g² + h² – 2gh cos F
Answers
Answer:
Solution given.
f = 5, g = 6, h = 7
<F=?
we have;
f² = g² + h² – 2gh cos F
5²-6²-7²=-2×6×7 cos F
-60/-84=cos F
F=cos-¹(5/7)=44.41°
<F=44.4° is a required answer
Related Questions
find the measure of any angle between 0 degrees and 360 degrees coterminal with an angle 354 degrees in standard position.
a. 174 degrees
b. 6 degrees
c. 354 degrees
d. 264 degrees
Answers
9514 1404 393
Answer:
c. 354 degrees
Step-by-step explanation:
The only angle in the range 0 to 360° that will be coterminal with an angle in that range is one with the same measure:
354°
A recent math test results show a mean of 75 and a standard deviation of 3. A random test is chosen with a raw score of 86. Which of the following tests scores is better than what percentage of all scores?
TEST 1: x=65, μ=70, σ=3
TEST 2: x=80, μ=50, σ=10
A) Test 1 has the highest z-score
B) Test 2 has the highest z-score
C) Neither, the original test has a z-score 3.67 which is the highest z-score.
Answers
Answer:
c
Step-by-step explanation:
The test which scores are better than the percentage of all scores will be tested 2 and the percentage is 3. Hence, option B is correct.
What is Normal distribution?A probability distribution that is symmetric around the mean and demonstrates that data close to the mean are more likely to occur than data distant from the mean.
As per the given information in the question,
1.
x = 65
Mean, μ = 70
Standard deviation, σ = 3
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (64 - 70)/3
= -6/3
Z = -2
2.
x = 80
Mean, μ = 50
Standard deviation, σ = 10
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (80 - 50)/10
= 30/10
Z = 3
Compare the values obtained, and it is clear that Test 2 got height score.
To know more about Normal Distribution:
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PLEASE HELP
Which statement correctly explains whether lim g(x)
X-3
exists?
Answers
Answer:
the answer is A on Edge
A) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
Step-by-step explanation:
took the quiz :)
The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9 is the correct statement.
We have given that,
lim g(x)
X-3
What is the oscillation of the random values?The application of results concerning partial limit laws of normed sums of independent and identically distributed random variables will be obtained.
Therefore from the graph, we can say that option A is correct.
A) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
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How many liters of a 15% sugar solution must be mixed with 5 liters of a 45% sugar solution to give a 20% solution?
Select one:
a.
4 liters
b.
25 liters
c.
30 liters
d.
11 liters
Answers
Answer:
25 liters
Step-by-step explanation:
15x + 45(5) = 20(x + 5)
15x + 225 = 20x + 100
Simplify
125 = 5x
Divide both sides by 5
25 = x
25 liters
which value for X makes the following sentence true?
13X - 7X=13
A) 12
B) 108
c) 3
D) 1
Answers
Answer:
I think that the answer is 3
Answer:
None of the listed answers are correct
x = 13/6
Step-by-step explanation:
13x - 7x = 13
( Note: This is not a sentence. It's an equation)
Combine like terms
6x = 13
Divide both sides by6
x = 13/6
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to an auto repair shop and paid $455, which included parts that cost $310 and 2.5 hours of labor. Which correctly compares the cost of the labor? Shannon paid $7 more per hour for labor. Shannon paid $7 less per hour for labor. Joni paid $85 more per hour for labor. Joni paid $85 less per hour for labor.
All the answers given are incorrect. The correct answer should be Shannon paid $7 more for labor.
Answers
Answer:
Option A, Shannon paid $ 7 per hour to labor than Joni
Step-by-step explanation:
Total amount paid by Shannon = $339.50
Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)
Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5
Total cost of 1 hours of labor paid by Shannon $65 per hour
Total amount paid by Joni = $455
Total cost of 2.5 hours of labor paid by Joni = $455- $$310
Total cost of 1 hours of labor paid by Joni = $145/2.5
Total cost of 1 hours of labor paid by Joni = $ 58
Hence, Shannon paid $ 7 per hour to labor than Joni
Option A is correct
A company has 200 employees. There are 150 female employees. There are 40 employees who are under the age of 30. The probability
of randomly selecting an employee who is female or is under the age of 30 is 85%.
What is the probability of randomly selecting an employee who is female and under the age of 30?
O A 10%
O B. 20%
O c. 85%
OD. 95%
Answers
Answer:
c. 85 % is the probability
Please help pay pal sound good 10 bucks?
Answers
Answer:
38°
Step-by-step explanation:
90= (8+3x) + 52
38= 8 +3x
30= 3x
10= x
(Please go and recheck to make sure the math is completely correct. I did it mentally so it might be off...)
o is suppose to be on top btw
Please, show some work
Answers
I can not see the photo
9514 1404 393
Answer:
A. x -4y
Step-by-step explanation:
The first expression factors as ...
= 2x(x -4y)
The second expression factors as ...
= 3x^2(x -4y)
Factors that are common between these factorizations are ...
x, (x -4y)
Of these, the one on your list of choices is ...
x -4y
What is the solution to the equation below. Round your answer to two
decimal places
In x= -2
O A. X=-739
B. x=0.34
O C. X=-0.69
O D. x=0.14
Answers
Answer:
B. x = 0.14
Step-by-step explanation:
Inx = -2
x = e^(-2)
x = 0.135
x = 0.14 (to two d.p)
The solution of the equation ln x =-2 is 0.14
The correct option is (D)
What is logarithm?Logarithms are the inverse of exponents.
Given that:
ln x =-2
Shifting the log on the right side, it will become exponential
x = [tex]e^{-2}[/tex]
x = 0.135
x = 0.14 (two decimal places)
Learn more about logarithm here:
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4. Which has a longer perimeter, a square whose side is 3 metres or a rectangle whose
side measures 2 m by 3 m?
can someone answer this i follow and like
Answers
Answer:
The square.
Step-by-step explanation:
perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10
The length of time required for the periodic maintenance of an automobile or another machine usually has a mound-shaped probability distribution. Because some occasional long service times will occur, the distribution tends to be skewed to the right. Suppose that the length of time required to run a 5000-mile check and to service an automobile has mean 1.4 hours and standard deviation .7 hour. Suppose also that the service department plans to service 50 automobiles per 8-hour day and that, in order to do so, it can spend a maximum average service time of only 1.6 hours per automobile. On what proportion of all workdays will the service department have to work overtime?
Answers
Solution :
Mean time for an automobile to run a 5000 mile check and service = 1.4 hours
Standard deviation = 0.7 hours
Maximum average service time = 1.6 hours for one automobile
The z - score for 1.6 hours = [tex]$\frac{1.6-1.4}{0.7 / \sqrt{50}}$[/tex]
= 2.02
Now checking a normal curve table the percentage of z score over 2.02 is 0.0217
Therefore the overtime that will have to be worked on only 0.217 or 2.017% of all days.
1 km = ? cm
????? Pls help plsssssss
Answers
Answer:
1 km = 100000 cm
Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for 2.
6
(0, 1)
(3,-1)
5
Answers
what is the equivlalent expression of 10 plus 10 plus 10
Answers
Answer:
10 + 10 + 10 = 10 x 3
= 30
Find a
-1701(81^3a-4)=7(729)^a
carina bought a spiral notebook that cost x dollars and a binder that cost 2.5 times a much as the notebook. her total cost was 4:20. how much did the spiral notebook cost?
Answers
x+2.5x=4.2
3.5x=4.2
x=1.2
A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to sea level.
Answers
Answer:
-525 feet
Step-by-step explanation:
If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.
to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)
so you can make out this equation: -800 + 275
this would equal: -525
HELP! i will give Brainly, if anyone could give me the full equation :) only answer if you’re sure...
Answers
Answer:
y=-3/4x+3
Step-by-step explanation:
Slope is rise over run, so -3/4. Y-intercept is at (0, 3)
y=-3/4x+3
Does anyone know what 1/2*1/2*1/2*1/2 equals?
answers:
4/48
5/16
1/20736
4/12
Answers
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
1/2*1/2*1/2*1/2= [tex]\frac{1}{2} ^{4}[/tex] Which is apparently none of these answers since it’ll be 1/16.
(Did you make a mistake with 5/16?)
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
I know it is not 4/48 because that’ll be 1/12.
I know it would not be 1/20736 because the number is too small.
I know it would not be 4/12 beacuse that’ll be 1/3
And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎
A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test
Answers
Answer:
Independent of the unknown population standard deviation σ
Step-by-step explanation:
It is one tailed test so the data is right skewed.
The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.
Here the number of degrees of freedom in = n-1= 35- 1= 34
This is the only parameter of the t distribution.
The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.
Please help me I'm crying and need help
Answers
Answer:
i think its 81
Step-by-step explanation:
Can someone please help me
Answers
i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?
Answers
Answer:
$3498.11 at the end of 10 years.
Step-by-step explanation:
2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.
If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work
Answers
Answer:
200 pounds
Step-by-step explanation:
4 televisions weigh 160 pounds
1 television weigh 40 punds
5 televisions weigh 200 pounds
Answer:
Logically 200 lbs
Step-by-step explanation:
160/4 = 40
1TV = 40 lbs
40 * 5 = 200
200lbs...
What percent of 380 is 190?
Answers
Mark brainliest
Answer:
50 percent
Step-by-step explanation:
190 is half of 380
190 x 2 = 380
find the alternative interior angles in each figure
Answers
Answer:
Step-by-step explanation:
Help solve the problem pls
Answers
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
Angle Relationship
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The sine of the complimentary angle of 34°
a. -0.52
b. 0.83
c. 0.97
d. -0.66
Please select the best answer from the choices provided
Answers
Answer:
B. 0.83
Step-by-step explanation:
I calculated it logically
HELP PLEASEEEEEEE!!!
Answers
Answer:
first one , I believe, sorry if incorrect
What is the area of the figure?
A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2
Answers
Answer:
B is the answer
Answer:
130 cm^2
Step-by-step explanation:
split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.
4x5 = 20
11x10=110
20+110 = 130 cm^2