Which expression is equivalent to cos120°?
The expression cos240 degrees is equivalent to cos120 degrees
Answer: B. cos240°
Step-by-step explanation:
Took the Test/Exam on Edge
What is the area of the given triangle? Round to the nearest tenth
Answer:
28.0125 cm^2 rounded to 28.0 cm^2
Step-by-step explanation:
Area = a*b*sin(c)*1/2
Area = 7 * 13 * sin(38) * 1/2
Area = 91/2 * 0.61566...
Area = 28.0125...
Alex and Morgan or ask to solve 2x-5=5x+7+3x X equal 5
Answer:
no solution?
Step-by-step explanation:
2(5)-5=5(5)+7+3(5) <-- plug in 5
10−5=25+7+15
5=32+15
5=47
if the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
[tex] \underline{ \huge \mathcal{ Ànswér} } \huge: - [/tex]
Average of b and c is 8, that is
[tex]➢ \: \: \dfrac{b + c}{2} = 8[/tex]
[tex]➢ \: \: b + c = 16[/tex]
[tex]➢ \: \: c = 16 - b[/tex]
now let's solve for average of c and d :
[tex]➢ \: \: \dfrac{c + d}{2} [/tex]
[tex]➢ \: \: \dfrac{16 - b + 3b - 4}{2} [/tex]
[tex]➢ \: \: \dfrac{12 + 2b}{2} [/tex]
[tex]➢ \: \: \dfrac{2(6 + b)}{2} [/tex]
[tex]➢ \: \: b + 6[/tex]
Therefore, the average of c and d, in terms of b is : -
[tex] \large \boxed{ \boxed{b + 6}}[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
b+6
Problem:
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Step-by-step explanation:
We are given (b+c)/2=8 and d=3b-4.
We are asked to find (c+d)/2 in terms of variable, b.
We need to first solve (b+c)/2=8 for c.
Multiply both sides by 2: b+c=16.
Subtract b on both sides: c=16-b
Now let's plug in c=16-b and d=3b-4 into (c+d)/2:
([16-b]+[3b-4])/2
Combine like terms:
(12+2b)/2
Divide top and bottom by 2:
(6+1b)/1
Multiplicative identity property applied:
(6+b)/1
Anything divided by 1 is that anything:
(6+b)
6+b
b+6
U.S cities hire about 17,000 police officers per 10,000 residents for a 17/10,000 ratio a new police chief for a city of 35,000 residents wants to match that ratio. How many police officers are needed
Answer: 59,500
Step-by-step explanation:
Given
For 10,000 residents, 17,000 police officers are hired
The ratio of Police officers and citizens is constant
So, for 35,000 citizens suppose x officers are hired
[tex]\Rightarrow \dfrac{17,000}{10,000}=\dfrac{x}{35,000}\\\\\Rightarrow x=1.7\times 35,000\\\\\Rightarrow x=59,500[/tex]
Thus, 59,500 officers are required.
After purchasing a car, Eleanor adjusts her budget to cover most car-related expenses that may occur. The monthly payment for her loan is $416.74, the cost of car insurance for 6 months is $459.95, the estimated fuel cost per month is $200, and she wants to set aside $1000 per year for repairs and other maintenance. How much should Eleanor budget per month for car expenses? Round your answer to the nearest cent.
9514 1404 393
Answer:
$776.73
Step-by-step explanation:
Eleanor's monthly costs will total ...
loan + ins + fuel + repairs = $416.74 +459.95/6 +200 +1000/12 = $776.73
Eleanor should budget $776.73 per month for car expenses.
Find on x on this triangle
Answer: correct answer is B.
Step-by-step explanation:
in the small triangle
taking 60 as reference angle
b = [tex]10\sqrt{3}[/tex]
so
tan 60 = p/b
[tex]\sqrt{3}[/tex] = p/([tex]10\sqrt{3}[/tex])
30 = p
so
[tex]h^2 = p^2 + b^2\\ = 30^2 + (10\sqrt{3} )^2\\\\ = 900 + 300\\ = 1200\\so h^2 = 1200\\then, h = \sqrt{1200} \\ = 20\sqrt{3} \\so\\in bigger triangle\\\\h = x[/tex](taking 45 as reference angle)
so
in bigger triangle
b = 20[tex]\sqrt{3}[/tex]
so
tan 45 = p/b
1 = p/(20[tex]\sqrt{3}[/tex])
p = 20[tex]\sqrt{3}[/tex]
so h^2 = p^2 + b^2
so
h^2 = (20[tex]\sqrt{3}[/tex])^2 +( 20[tex]\sqrt{3}[/tex])^2
= 1200 + 1200
h^2 = 2400
h =[tex]\sqrt{2400}[/tex]
=20[tex]\sqrt{6}[/tex]
so x = 20[tex]\sqrt{6}[/tex]
solve -3x+2y=-6 -2x+y=6 using substitution
Answer:
See below
Step-by-step explanation:
-3x+2y = -6 [1]
-2x + y = 6 [2]
For [1], solve for X.
-3x + 2y = -6
-3x = -6 - 2y
3x = 6 + 2y
x = 2 + (2/3)y
Plug x into [2]
-2(2+(2/3)y) + y = 6
-4 - 4/3y + y= 6
-4/3y + y= 10
-1/3y = 10
y = -30
9514 1404 393
Answer:
(x, y) = (-18, -30)
Step-by-step explanation:
When choosing to solve by substitution, it is convenient if one of the variables has a coefficient of 1 or -1. Here, y has a coefficient of 1 in the second equation, making it easy to rearrange that equation to give an expression for y:
y = 2x +6 . . . . . add 2x to the second equation
Using this expression, we can substitute for y in the first equation:
-3x +2(2x +6) = -6
x + 12 = -6 . . . . . . . . . simplify
x = -18 . . . . . . . . . . . subtract 12
y = 2(-18) +6 = -30 . . . . substitute into the equation for y
The solution is (x, y) = (-18, -30).
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
14
19
28
31
Answer:
28 are in the larger class.
Step-by-step explanation:
50/2 = 25 xy
25+ 3 = 28 larger
25-3 = 22 smaller
x = 28
The larger class has 28 students, and the correct option is 28.
Let's assume the number of students in one class is x.
According to the given information, the other class has 6 more students than this class, which means the number of students in the other class is x + 6.
To find the total number of students, we add the number of students in both classes: x + (x + 6) = 50.
Combining like terms, we have: 2x + 6 = 50.
Next, we subtract 6 from both sides of the equation: 2x = 44.
Finally, we divide both sides of the equation by 2 to solve for x: x = 22.
So, there are 22 students in one class, and the other class has 22 + 6 = 28 students.
Therefore, the larger class has 28 students, and the correct option is 28.
To know more about equation:
https://brainly.com/question/29657983
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I need two examples of division of decimal to the thousandths place by one to the hundredths place. SHOW ALL WORK!!!!!!!!
Answer:
i think you need to work on your decimals mate
Step-by-step explanation:
The perimeter of rectangle is 36 cm.If it's breadth is half of it's breadth is half of it's length then find it's dimension.And explain it.
Answer: 12 x 6
Step-by-step explanation:
36/2=18
3x=18
x equal 6
6x2=12 as it is two times
whats the correct answer?
Answer:
its the 4 one
Step-by-step explanation:
In how many ways can a committee of 3 men and 4 boys be chosen from 7 men and 6 boys so as not to include the youngest boy if the eldest man is serving?
Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
[tex]T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75[/tex]
There are 75 ways to form the committee.
Can someone help me find the answer to this question ?
Answer:
B. x ≤ 1 or x > 6
Step-by-step explanation:
Subtract 8 and divide by 2. (Same steps for both inequalities.)
2x +8 ≤ 10
2x ≤ 2
x ≤ 1
__
2x +8 > 20
2x > 12
x > 6
The solution is x ≤ 1 or x > 6.
If a quadrilateral is a square, then all sides are the same. What part is the conclusion
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
1. >
2. <
3. =
4. <
Step-by-step explanation:
23.197 > 23.179
3 2/10 which is the same as,
3.2 < 3.243
30.423 = 30 423/1000
18.546 < 18 56/100
Which column represents the correct method for the proof of the following statement?
If two angles form a linear pair, then they share a common ray.
Column A
1. Assume the angles do not form a
linear pair
2. If the angles do not form a linear
pair, then they are not adjacent
Column B
1. Assume the angles do not share a
common ray
2. If the angles do not share a
common ray, then they are not
adjacent
3. If two angles are not adjacent, then
they cannot form a linear pair
4. If two angles do not share a
common ray, then they do not form
a linear pair
3. If two angles are not adjacent then
they do not have a common ray
4. If two angles do not form a linear
pair, then they do not have a
common ray
A column A
B. column B
C. both column A and column B
D. neither column A nor column B
Answer:
90
Step-by-step explanation:
the colums add up to angle 1, which make angle 2 adjacent.
9-9=0
The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area. a. What is the chart called? multiple choice Pie chart Histogram Cumulative frequency polygon Frequency polygon b. How many homes were sold during the last month? c. What is the class interval? d. About 75% of the houses sold for less than what amount? (Enter your answer in thousands.) e. One hundred seventy-five of the homes sold for less than what amount? (Enter your answer in thousands.)
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For question a:
The chart is called a cumulative frequency polygon.
For question b:
The total number of sold homes in last month= 250
For question c:
The class intervels are:
[tex]\to 100-50 = 50[/tex]
For question d:
[tex]\to[/tex] 240000 (75% of houses)
For question e:
[tex]\to[/tex] 230000
Find the measure of the indicated angle. (Round to 2 decimal places if necessary)
9
?
21
Hey guys today you could help that would be great
Answer: the answer is b
Determine if the table represents a linear function. If so, what's the rate of change?
A) Yes; rate of change = 3
B) No; a nonlinear function
C) Yes; rate of change = 2
D) Yes; rate of change = –4
Eco-Cook rice cooker has a mean time before failure of 38 months with a standard deviation of 6 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the rice cookers returned
Answer:
The warranty period should be of 30 months.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Eco-Cook rice cooker has a mean time before failure of 38 months with a standard deviation of 6 months.
This means that [tex]\mu = 38, \sigma = 6[/tex]
What should be the warranty period, in months, so that the manufacturer will not have more than 8% of the rice cookers returned?
The warranty period should be the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 38}{6}[/tex]
[tex]X - 38 = -1.405*6[/tex]
[tex]X = 30[/tex]
The warranty period should be of 30 months.
Which of the following is correct based on this picture?
A. tan D=31/24
B. sin D=31/24
C. tan K=31/24
D. cos K=31/24
Answer:
C. tan K=31/24
Step-by-step explanation:
Relations in right triangles:
The sine of an angle is the length of the opposite side to the angle divided by the length of the hypotenuse.
The cosine of an angle is the length of the adjacent side of the angle divided by the length of the hypotenuse.
The tangent of an angle is the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this question:
Sides 24 and 31.
Side opposite to K: 31
Side adjacent to K: 24
Then
tan K=31/24
And the correct answer is given by option D.
Cow gives two fifths of liters of milk each day. How many liters of milk can the cow give in the second month of 2016?
Step-by-step explanation:
ex : Cow Produce Milk 2.5 Litters/day
1 Month = 30 days(Assume in 30 days )
for second Months
2.5 litters/day x 30 days
= 75 Litters/Month
6,10,16,24,34 find an expression for the nth term in this sequence
Answer:
Answer
Step-by-step explanation:
please like and mark brainlist
what is the ratio of the two values and what new value do they produce? $280 in 7m
what is the ratio of the two values and what new value do they produce? 105 miles in 2 hours
what is the ratio of the two values and what new value do they produce? $33 for 5lb
what is the ratio of the two values and what new value do they produce? 50 pages in 2 hours
Answer:
The ratio between two values A and B is just the quotient between these two values:
ratio = A/B
a) $280 in 7m
Here the ratio is:
$280/7m = $40/m
This also can be read as:
$40 per meter.
b) 105 miles in 2 hours
Here the ratio is:
105mi/2h = 52.5 mi/h
This also can be read as:
52.5 miles per hour
c) $33 for 5lb
The ratio is:
$33/5lb = $6.6/lb
This can be read as:
$6.6 per pound.
d) 50 pages in 2 hours
the ratio is:
(50 pages)/2h = 25 pages/h
this can be read as:
25 pages per hour.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds. For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic.
Answer:
The p-value of the test statistic is 0.2019.
Step-by-step explanation:
Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.
At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:
[tex]H_0: \mu \leq 384[/tex]
At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:
[tex]H_1: \mu > 384[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
384 is tested at the null hypothesis:
This means that [tex]\mu = 384[/tex]
For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.
This means that [tex]n = 41, X = 387, \sigma = 23[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}[/tex]
[tex]z = 0.835[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.
Looking at the z-table, z = 0.835 has a p-value of 0.7981.
1 - 0.7981 = 0.2019
The p-value of the test statistic is 0.2019.
Suppose 50.7 liters of water came out of a faucet today. If 2.6 liters of water come out each minute, for how many minutes was the faucet on?
Which number produces an irrational number when added to
ON
O A. 2/7
O B. -0.4
O C. 15
D. 0.555...
Answer: 0.555
Step-by-step explanation:
Eight students are running for three positions in
the student council: president, vice president,
and secretary. Which represents the total
number of ways that three students can be
selected if each student can be elected to only
one position?
Answer:
Step-by-step explanation:
Total number of outcome are
1320
.
Explanation:
It is apparent that there are
12
ways in which the post of President can be filled. Once President's post is filled, there are
11
ways to fill the post of Vice President and then
10
ways to fill the post of Secretary,
Hence a total of
12
⋅
11
⋅
10
or
1320
ways or outcomes.
Answer:
1320
Step-by-step explanation:
