9514 1404 393
Answer:
YZ = 8.5∠X = 70.5°∠Z = 19.5°Step-by-step explanation:
There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.
We know from SOH CAH TOA that ...
Cos = Adjacent/Hypotenuse
cos(X) = 3/9 = 1/3
X = arccos(1/3) ≈ 70.5°
Angle Z is the complement of this, so is ...
Z = 90° -70.5° = 19.5°
__
The length of side YZ can be found from ...
Sin = Opposite/Hypotenuse
sin(X) = YZ/XZ
YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5
__
In summary, ...
YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°
in the equation (m) what is the value of x
Answer:
x is equal to 10 times 5 is the ans
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
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The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
I need to see how to do this step by step
Answer: 150°
Step-by-step explanation:
At any intersection between two straight lines, you will end up with four pairs of supplementary angles. Thus, any angle that is opposite to another, will have the same value. This is called the Vertical Angle Theorem. As such, x, which is vertical to 150, is 150.
A sum of money has a value of$3000 eight-
een months from now. If money is worth 6%
compounded monthly, what is its equivalent value
(a) now?
(b) one year from now?
(c) three years from now?
Answer:
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where A is the future value, P is the present value, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
(a) To find the present value of the money, we need to solve for P in the formula above. We are given that A = $3000 and t = 18/12 = 1.5 years. The interest rate is 6% per year, compounded monthly, which means n = 12. Substituting these values into the formula, we get:
3000 = P(1 + 0.06/12)^(12*1.5)
Simplifying and solving for P, we get:
P = 3000 / (1 + 0.06/12)^(12*1.5)
P = $2,572.39
Therefore, the equivalent value of the money now is $2,572.39.
(b) To find the equivalent value of the money one year from now, we need to calculate the future value of $1 after one year, and then multiply it by the present value we found in part (a). The future value of $1 after one year, at 6% per year, compounded monthly, is:
FV = 1*(1 + 0.06/12)^(12*1)
FV = $1.06168
Multiplying this by the present value we found in part (a), we get:
$2,572.39 * $1.06168 = $2,735.92
Therefore, the equivalent value of the money one year from now is $2,735.92.
(c) To find the equivalent value of the money three years from now, we need to calculate the future value of $1 after three years, and then multiply it by the present value we found in part (a). The future value of $1 after three years, at 6% per year, compounded monthly, is:
FV = 1*(1 + 0.06/12)^(12*3)
FV = $1.19102
Multiplying this by the present value we found in part (a), we get:
$2,572.39 * $1.19102 = $3,066.63
Therefore, the equivalent value of the money three years from now is $3,066.63.
You can make 8 pancakes with 5g of butter. How much butter do you need for 12 pancakes.
NEED HELP ASAP!!
Using Jefferson’s method
Using Jefferson’s method, the number of tutors to allocate to each subject is = 8,8,3,2 tutors to each of the subjects
What is Jefferson's method of allocation? Determine how many people each representative should represent. Do this by dividing the total tutors by subject total. This answer is called the standard divisor.Divide each subject by the divisor to determine how many tutors each subject gets. This answer is called the quota.Cut off all the decimal parts of all the quotasIf the total is less than the total number of tutors reduce the divisor and recalculate the quota and allocation.Subjects students enrolment tutors to assign Aprx tutors
Maths 355 8.4 8
English 325 7.7 8
Chem 135 3.2 3
Biology 75 1.8 2
Total 890 21
Total number of tutors to be allocated is = 21
Using ratios to divide we have
English = 355/890 * 21/1 = 8.476
Maths = 325/890 *21 = 7.668
chem = 135/890 * 21 = 3.185
Biology = 75/890 *21 = 1.76966
Approximate the total to get 8+8+3+2 = 21 tutors
the method division used here is ratio of number of students in each subject
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Greg wants to buy a drum set he saw at the market. It costs $250. Greg has $123
How much more does he need? Type your answer in the box.
The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127
How to solve equation?Total cost of drum set = $250Amount with Greg = $123Amount needed = mTotal cost = Available amount + needed amount
250 = 123 + m
subtract 123 from both sides
250 - 123 = m
127 = m
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HELP FAST!! please help me i need help really bad thank you i will give u the brainly answer
Answer:
B.
Step-by-step explanation:
2.4% = 0.024
Answer:
B
Step-by-step explanation:
2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter REALS.)
5x − 4 = 4x + 8
Which expression is equivalent to 3(5 + 4)?
Answer:
3 ( 5 + 6 ) = 15 + 18
Step-by-step explanation:
Sorry if wrong but if right can you mark me brainiest
Answer: 15 + 12
Reason: You just distribute the three to five and four, and you get an equivalent equation to 3(5 + 4)
I hope this helps, and Happy Holidays! :)
consider the following probability distribution: 1 2 3 4 5 0.1 0.15 0.40 0.25 0.10 find (write it up to second decimal place).
The mean value is 1.19
x p(x) x*p(x) X^2p(x)
1 0.1 0.1 0.1
2 0.15 0.3 0.6
3 0.4 1.2 3.6
4 0.25 1 4
5 0.1 0.5 2.5
Sum 1 3.1 10.8
Mean =Σx * p(x)
u=3.1
Variance=σ^2
=Σx*p(x)-u^2
=10.8-(3.1)^2 =1 .19
A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.
The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:
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NO LINKS!! URGENT HELP!!
Calculate the perimeter of the following figures.
Answer:
Quadrilateral: 20.5 units
Triangle: 8.6 units
Step-by-step explanation:
Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.
Perimeter = AB + BC + CD + DA
where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.
In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).
Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:
\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)
\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)
\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)
\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)
Therefore, the perimeter of the quadrilateral is:
Perimeter = AB + BC + CD + DA
= \(4+5+2\sqrt5+7=20.5\) units
Triangle
The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:
Perimeter = AB + BC + CA
where AB, BC, and CA are the lengths of the three sides of the triangle.
In your case, the coordinates of the vertices of the triangle are
E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:
\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)
\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)
\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)
Therefore, the perimeter of the triangle is:
Perimeter = EF + FG + EG
= 4 + 1 + \(\sqrt{13}\)
=8.6 units
Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units
Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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whats 1 +1 please halp
Answer: 2
Step-by-step explanation: I did it for the points!
X,(x-36) What is the value of x
The value of x is 63
How to determine the valueTo determine the value of the variable, we have that;
Angles at a point is equal to 360 degreesComplementary angles are defined as angles that sum up to 90 degreesSupplementary angles are defined as angles that sum up to 180 degreesAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
x and x - 36 are complementary angles
Now, equate the angles to 90 degrees, we have;
x + x - 36= 90
collect the like terms, we get;
2x = 90 + 36
add the terms
2x =1 26
Divide by the coefficient
x = 63
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Complete question:
The angles X,(x-36) are complementary. What is the value of x
The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2. When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time.
Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times?
a. A larger sample size was used.
b. The 100 tosses were controlled better.
c. The expected probability changed when the cube was rolled 100 times.
d. The thrower considered only the even rolls, and disregarded the odd rolls.
Answer:
Step-by-step explanation:
The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.
Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour. Calculate the reliability of the unit for a 150-hour mission.
Answer:
Reliability= 149.94
Step-by-step explanation:
Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour.
Reliability per hour=1- failure rate
Reliability per hour= 1-0.0004
Reliability per hour= 0.9996
Reliability= rate if reliability * number of hours
Rate of reliability= 0.9996 per hour
Number of hours= 150 hours
Reliability= 0.9996*150
Reliability= 149.94
Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
According to the model, which of the following is the predicted number of homes, in thousands, with access to a telephone in Arkansas in 1990?5069686741
ANSWER
\(C.686\)EXPLANATION
We want to find the predicted number of homes in Arkansas with access to telephones in 1990.
The function that represents the number of homes with access to telephones in Arkansas is:
\(A(x)=25.0x+61.0\)where x = number of years after 1965.
First, we have to find how many years after 1965 that 1990 is.
That is:
\(\begin{gathered} 1990-1965 \\ 25\text{ years} \end{gathered}\)That is x.
Therefore, we have to find A(x) when x is 25.
That is:
\(\begin{gathered} A(25)=25.0(25)+61.0 \\ A(25)=625.0+61.0 \\ A(25)=686 \end{gathered}\)That is the answer.
Consider the arithmetic sequence: 6,2,-2,-6,...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 10 – 4n for n > 0
b(n) = 10 – 4n for n > 1
c(n) = 18 - 4n for n > 2
d(n) = 14 - 4n for n > 3
Answer: b(n)=10-4n for n >1
The function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.
What is an arithmetic sequence?"It is a number sequence with a common difference between successive terms."
For given example,
Given arithmetic sequence: 6, 2, -2, -6, . . .
Here, 2 - 6 = -4
-2 - 2 = -4
-6 - (-2) = -4
This means, the common difference is d = -4
If n is a positive integer, then the function a(n) = 10 - 4n (n > 0) generates given sequence.
For n = 1
⇒ a(1) = 10 - 4(1)
⇒ a(1) = 6
For n = 2,
⇒ a(2) = 10 - 4(2)
⇒ a(2) = 2
For n = 3,
⇒ a(3) = 10 - 4(3)
⇒ a(3) = -2
For n = 4,
⇒ a(4) = 10 - 4(4)
⇒ a(3) = -6
Therefore, the function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.
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3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Please help me with this
Answer: 20 inches
Step-by-step explanation: You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
what is the equation of a line with a y-intercept of -3 and a slope of -4/5
Answer:
Below
Step-by-step explanation:
y= mx + b is the slope intercept form of a line
m = slope and b = y-axis intercept
Plug in the given values
y = -4/5 x -3
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
Elena bought six guppies at the beginning of the month. One month later, the number of guppies in her
tank had doubled. Her guppy population continued to grow in this same manner. (16 pts.)
a. Create a function 9 to model the growth of the Elena's guppy population, where g(n) is the number
of guppies at the beginning of each month and n is the number of months that have passed since
she bought the six guppies.
g(n) =
(2 pts.)
The growth of the number of guppies is modeled by an exponential function
The function that models the number of guppies is \(g(n) =6(2)^n\)
How to model the functionThe initial number of guppies is:
a = 6
The rate of growth of the guppies is:
r = 2
An exponential function is represented as:
\(g(n) =ar^n\)
So, we have:
\(g(n) =6(2)^n\)
Hence, the function that models the number of guppies is \(g(n) =6(2)^n\)
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In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.
Answer:
7.8
Step-by-step explanation:
subtract 85 - 77.2
add 5 1/2 kg to 450g
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g
Answer:
\(5950g\)
Step-by-step explanation:
\(5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g\)
Now let's add.\( \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g\)
So the correct answer is,\( = 5950g = 5kg \: 950g\)
hope this helps
brainliest appreciated
good luck! have a nice day!
A hubcap has a radius of 13 centimeters. What is the area of the hubcap? Round your answer to the
nearest hundredth. Use 3.14 for.
HELP PLZ
Answer:
530.66 square cm
Step-by-step explanation:
A=pi*r^2
A=pi*13^2
A=530.66
Answer:
A = 530.91 \(cm^2\)
Step-by-step explanation:
The formula to find the area of a circle is (\(A = (pi)r^2\)), where (\(A\)) represents the area of the circle, (\(pi\)) represents the value (\(3.1415...\)), and (\(r\)) represents the radius of the circle. Use this knowledge, and substitute in the given information, to solve for the area of the circle.
\(A = (pi)r^2\\\\A = (3.1415)(13)^2\\\\A = (3.1415)169\\\\A = 530.91\)