Answer:
x = 20
y = 10
it's a 30-60-90 triangle
Help I’ll mark you!!
Answer:
A.
Step-by-step explanation:
Each mark is worth two. We are inbetween the first mark and 0 on the left. Half of two is one. and since we are in the left quadrant we know it to be negative. Looking down, we see that we are exactly one mark down. As a mark is two, ans that we are going down, this will be a negative two. That leaves us with the answer of (-1, -2)
Answer:
A. (-1,-2)
Step-by-step explanation:
just trust me...I promise it right
Find the equation of this line
Answer:
Sorry I can't help you. I can't see the problem.
Step-by-step explanation:
A group of 120 students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 40 students responded low interest. What is the relative frequency of students with high interest? A. 30% B. 36.4% C. 25% D. Cannot be determined. Group of answer choices
Answer:
Option C (25%) is the correct answer.
Step-by-step explanation:
Given:
Number of students,
= 120
Students responded high interest,
= 30
Students responded medium interest,
= 50
Students responded low interest,
= 40
Now,
The relative frequency will be:
= [tex]\frac{30}{120}[/tex]
= [tex]0.25[/tex]
or,
= [tex]25[/tex]%
help omg!! fill in the blank with the correct response.
6C2
Answer:
15
Step-by-step explanation:
15 is the total number of all possible combinations for choosing 2 elements at a time from 6 distinct elements without considering the order of elements in statistics & probability surveys or experiments.
What is the value of cosθ given that (−2, 9) is a point on the terminal side of θ ? 985√85 −985√85 285√85 −285√85
Answer:
−2√85/85
Step-by-step explanation:
The required value of the cosθ is −2√85/85. Option D is correct.
Given that,
The value of cosθ given that (−2, 9) is a point on the terminal side of θ is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
horizontal run b = -2, vertical rise p = 9
Slant height,
h = √ -[2]² + [9]²
h = √4 + 81
h = √85
Now,
cosθ = b / h
cosθ = -2 / √85
cosθ = -2 √85/85
Thus, the required value of the cosθ is −2√85/85. Option D is correct.
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If it costs $3.50 per square foot, what is the approximate total cost of making this
pipe that is open at both ends?
K.
30
기
A $210.00
B $659.40
C $340.69
D $681.38
Answer:
the right answer would be C
Answer:
Step-by-step explanation:
You first need to find the surface area of a completely open cylinder. That formula is
[tex]SA=2\pi rh[/tex] Using 3.14 for π, we find the area of the material that is needed to make this pipe:
SA = 2(3.14)(1)(30)
SA = 188.49 square feet.
If it costs $3.50 per square foot and you have 188.9 square feet, we multiply the cost per square foot times the number of square feet:
188.49(3.50) = $659.40, choice B.
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.
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Define perpendicular lines
Answer:
In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Answered by GAUTHMATH
Answer:
Perpendicular lines are simply the lines that make 90° with each other. (make a right angle)
These lines are studied and given a name because it's helpful and makes the concepts of slopes, tangents, and normals easier.For example if we know the slope of one line AB and we're given to find the slop of another line CD which is perpendicular to AB.
we can find it's slope without even knowing the co ordinates it passes thru. CD's slope will be the negative reciprocal of the line AB.
That way we skipped a lot of calculations and jumped straight way to the answer.
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.
