Answers
Answer:
the length of the opposite side (x), is 27.2
Step-by-step explanation:
For the given right triangle problem;
the opposite side of the given angle, opp. = 22
the hypothenuse side, hypo. = x
given angle of the triangle, θ = 54⁰
The length of the opposite side (x), is calculated as follows;
[tex]sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2[/tex]
Therefore, the length of the opposite side (x), is 27.2
Related Questions
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help if you evaluated it. Please and thank you :))
Answers
Answer:
this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).
Step-by-step explanation:
102 - 8m = 86
86 - 102 = -16
-16/-8 = 2
Answer:
Its 2 bby :)
Step-by-step explanation:
When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answers
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
What is the value of x in the equation (2x + 1)1/3 + 3 = 6
Answers
Answer:
x = 4
Step-by-step explanation:
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answers
Answer:
3
one
will represent
the student
Is the expression below a perfect square?
Is so then factor:
x^2 - 36
Answers
Answer:
(x-6)(x+6)
Step-by-step explanation:
Which inequality can be used to find the domain of
Answers
Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
Which expression is equivalent to 6x-9,
3
Answers
Answer:
the expresion its equal at the d9feremce between you and the excercise so its 7
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan?
Answers
Answer:
$2750 worth of simple interest
Step-by-step explanation:
The equation for simple interest is to multiply the amount by the time by the rate:
22000 * 5 * 0.025 = 2750
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Answers
Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answers
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answers
Answer:
Gddghdhdhdhy heifer here early enough h her y
What is the area of this trapezoid?
Answers
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625
Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?
Answers
Answer:
990
Step-by-step explanation:
Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)
Answers
Answer:
{a,b,c,d,f,3,4,5,7}
Step-by-step explanation:
If X={a,b,c,3,4,5}
Y={b,d,f,3,5,7}
THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}
XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.
What is a set?A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.
The sets are given in the question, as follows:
X = {a,b,c,3,4,5}
Y = {b,d,f,3,5,7}
We have to determine the members of the set XUY, using set braces.
As per the question, the required solution would be as:
XUY = {a, b, c, d, f, 3, 4, 5, 7}
XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.
Learn more about set theory here:
brainly.com/question/23454979
#SPJ2
what is the equation of the line in slope-intercept form?
pls help i cant get this wrong
Answers
Answer:
y=mx+b
Step-by-step explanation:
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answers
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
Find the area of the trapezoid:
28 in.
16 in.
21 in.
Answers
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answers
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
10 points
question 5: a, b, and c.
Answers
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
Someone explain and help me do this for me I really need the help
Answers
Answer:
74.13
6×10=60
A=pi r^2
3.14×3^2=28.26
28.26/2 =14.13 (because it is half a circle)
14.13+60=74.13
not sure if that is correct but that is what i got
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answers
Answer:
6
Step-by-step explanation:
Trig ratio and finding the missing angle pair.
Answers
Hello!
This is a question relating trigonometric ratios and a missing angle.
Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.
I'll be using the sine ratio for this problem.
The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.
Meaning the following equation could be set up.
[tex]sin(\theta)=\frac{45}{75}[/tex]
Now, we can just solve for theta.
[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]
Make sure you're in degrees when you're solving this problem.
[tex]\theta=36.870[/tex]
Hope this helps!
The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 years, with a standard deviation of 7.3 years. The distribution of ages is right-skewed. For a study to determine the reliability of classified ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.
Required:
From the problem statement, which of the values 7.7, 7.3, 8.3, and 5.7 are parameters and which are statistics?
Answers
Answer:
7.7 and 7.3 are the parameters
8.3 and 5.7 are statistics
Step-by-step explanation:
In the given question,
7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.
So,
It represents the population mean and standard deviation
So,
7.7 and 7.3 are the parameters .
Now,
8.3 and 5.7 is mean and standard deviation for sample , not for population.
∴ 8.3 and 5.7 are statistics.
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
can someone pls help me. it’s marked as late work and i don’t understand how to do
it. the question says “find the surface area of the rectangular prism” if you help i’ll mark u as brainlest tysm
Answers
Find the surface area of the rectangular prism below.
Answers
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
if x =31 and z=27 then what is the value of y?
Answers
Answer: y = 89
Step-by-step explanation:
[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]
A circle has a radius of 12. what is the circumference of the circle
Answers
Pi 2 x 12
24 pi =75.36
Answer:
14 because of its addition
Step-by-step explanation:
πr²=x
=12+2+x
=14
24-u=234 solve for u
Answers
Answer:
u= -210
Step-by-step explanation:
Hope this is helpful(please make me the brainliest!)
18.0 x 9 but with a decimal