Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
Determine the equation of straight line which passes through the point (a, b)and perpendicular to ax+by=5
Answer:
[tex]y=\frac{b}{a} x.[/tex]
Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:
[tex]\frac{x-a}{x_1-a} =\frac{y-b}{y_1-b},[/tex]
where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:
[tex]\frac{x-a}{a} =\frac{y-b}{b};[/tex]
5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.
X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a score from X and having it be greater than or equal to 126
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
[tex]Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...[/tex]
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
A school administrator claims that the average GPA of Which explanations are justified based on the evidence
the senior class is 3.53. You think that the average GPA you obtained? Check all that apply
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
It is possible that the population mean is 3.53, but
sample mean GPA is 3.70
the sample result is greater than that due to
You have some evidence that the mean GPA may be
sampling variability
greater than 3.53 because the sample mean of your It is possible that the school administrator made a
random sample is 3.70.
mistake, and the population mean is greater than
3.53
The fact that the sample mean is greater than the
claimed population mean proves that the average
GPA of the senior class is greater than 3.53
The sample mean of 3.70 cannot be correct
because the claimed population mean is 3.53.
The population mean of 3.53 cannot be correct
because the calculated sample mean is 3.70
Done
Answer:
its the first two
It is possible that the population mean is 3.53, but the sample result is greater than that due to sampling variability.
It is possible that the school administrator made a mistake, and the population mean is greater than 3.53.
Step-by-step explanation:
edg 2021
Answer:
A
B
Step-by-step explanation:
EDG 2020-2021
What is the sum? 3x^2-2x-1/x-5+-2x^2+x-5/x-5
Answer: 5(1-x) over x
Step-by-step explanation: Combine the rational expressions using the least common denominator (LCD).
What is the difference between 100 and 33?
Answer:
67
Step-by-step explanation:
100 - 33 = 67
The difference between 100 and 33 is 67.
The answer is 67 if you go to your calculator app and do 67+33 it equals 100
When it is 7 AM in New York, it is noon in London. A plane leaves London
at noon London time and arrives in New York at 11 AM New York time
the same day. A second plane leaves New York at 12 noon New York time
for London. What time in London is it when the second plane arrives?
Assume both planes fly for the same number of hours.
Answer:
by the time second plane arrives in London it is 08:00 am
if cos theta = 3/5, then tan theta =
Step-by-step explanation:
cos theta=3/5
theta=53.13°
tan theta =1.33
Write an expression that is equivalent to 27e+24
Answer:
3(9e+8)
Step-by-step explanation:
I hope this helps
does anyone know this? please help
Answer:
3rd answer
Step-by-step explanation:
it would be the third answer
The price of parking for 2 hours or less at the airport is increasing
from $2.50 to $5.00. What is the percent of price increase?
Answer:
it increased 50%
Step-by-step explanation:
5 / 2.5 = 2
100 / 2 = 50%
Answer:
50% increase
Step-by-step explanation:
half of 5.00 is 2.50
Question 7 (1 point)
The angle of elevation from point P to the top of the pole is 65°. Point Pis 21 feet from the base of the flagpole. To
the nearest tenth, what is the height of the pole?
65°
21 ft.
Plz help
Answer:
h = 452.5 ft
Step-by-step explanation:
Angle of elevation from P to top of the pole = 65°
Horizontal distance between the pole and point P = 21 ft
By Applying tan rule in the given triangle ABP,
tan(∠APB) = [tex]\frac{AB}{PB}[/tex]
tan(65°) = [tex]\frac{h}{21}[/tex]
h = 21[tan(65°)]
h = 452.491
h ≈ 452.5 ft
Therefore, height of the pole is 452.5 ft.
what is 1/2 divided by 6?
Answer:
1/12 or 0.0833
Step-by-step explanation:
1/2 divided by 6
1/2x6
1/12!
Answer: Fraction Form: 1/12
Decimal Form: 0.0833
Expanded Decimal Form: 0.08333333333
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Martha has 2 red beads for every 5 yellow beads on her necklace. If Martha has
18 fewer red beads than yellow beads, then how many yellow beads does she
have?
Answer:
30 yellow beads
Step-by-step explanation:
there is a difference of three beads if there are 5 yellow beads per 2 red beads. You're looking for a combination of numbers with a difference of 18. divide 18 by three, and you get 6. multiply 6 by each of the 2 numbers 2 and 5, to get 12 and 30. They have a difference of 18, and follow the ratio of red to yellow beads. Now just take the 30 yellow beads and give an answer
2. It costs Shermano's pizza $2 to make a pizza, if the markup is 550%.
what is the selling price for a pizza? *
There are red and green apples in a crate.
There are 60 green apples in the crate.
The ratio of the number of red apples to green apples is 1:5
Georgia puts in some more red apples into the crate.
The ratio of the number of red apples to green apples is now 2:3
How many red apples does Georgia put into the crate?
Answer:
28
Step-by-step explanation:
60 apples by 5 is 12. When Georgia put some more apples in we now have to divide 60 by 3 which is 20 and then multiply that by 2 which is 40. So, if the ratio was 1:3 it would be 20:60 but it is 2:3 so the answer is 40:60. Do 40 minus 12 to find how much Georgia added. 40 minus 12 is 28.
what is the simplifed form of the fraction below?
24/30
Answer:
4/5
Step-by-step explanation:
this can be divided by 6 to get you this answer
Ron sells bananas for $0.60 each. How many bananas did Ron sell if he made $150.00, after taking off $39.00 for his banana stand rental?
The number of bananas that Ron sold is 315.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Cost for a banana = $0.60
Also given, he made $150.00, after taking off $39.00 for his banana stand rental.
Total amount of money that Ron made by selling the bananas = $150 + $39 = $189
Number of bananas sold = 189 / 0.6
= 315
Hence Ron sold 315 bananas.
Learn more about Division here :
https://brainly.com/question/28598725
#SPJ2
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlist8x+5y=24
y=−4x
show work please
Answer:
(-2, 8)
Step-by-step explanation:
8x + 5y = 24
8x + 5(-4x) = 24
8x + -20x = 24
-12x = 24
-12x/-12 = 24/-12
x = -2
----------------------------
y = -4(-2)
y = 8
--------------------------
8(-2) + 5(8) = 24
-16 + 40 = 24
24 = 24
please solve and receive brain list
Answer:
1 and 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
This is a system of equations. To solve it, you need to get one of your variables by itself first. (that means getting the x, or y by itself, just like how you solve equations when you only need to solve for one variable). I decided to solve the first equation, which is -x - 2y = -3 I'll solve it for the x, since there is no number being multiplied to it.
I need help with math the question is What area of a square whose sides measure 3 feet?
A.12 square feet
B. 6 square feet
C. 9 square feet
D. 18 square feet
Answer:
c
Step-by-step explanation:
Since area is lw 3*3=9
1 - 2x + 5 = 4x - 3
solve
Answer:
3/2
Step-by-step explanation:
1-2x+5=4x-3
1-2x-4x+5=-3
1-6x+5=-3
-6x+6=-3
-6x=-3-6
-6x=-9
6x=9
x=9/6
simplify
x=3/2
Answer:
x=1.5
Step-by-step explanation:
combining everything: -2x+6=4x-3
adding 2x to both sides, you get
6=6x-3
add 3 to both sides, you get 9=6x
divide, and then you get 1.5
uwu
It snowed 20 inches in 10 days in Canada. At what unit rate did the snow fall?
Answer:
2 inches per day
Explanation:
Divide 20 by 10
a wheel makes 20 revolutions per min. how many revolutions does it make per second? type and integer or simplified fraction.
Answer:
1200 revolutions per second
Step-by-step explanation:
60 seconds per minute so multiply 60 x 20 to get 1,200
Use the given information to solve for x and y
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
The list of individuals from which a sample is actually selected is called the sampling frame. Ideally, the sampling frame should list every individual in the population, but in practice this is often difficult. A sampling frame that leaves out part of the population is a common source of undercoverage. In the following questions select all choices that apply; to receive credit for the question you must select all the correct choices and only the correct choices.
Question 1. A pollster wants to select a random sample of households in a particular community. The pollster randomly selects a sample of households in the community from the community telephone directory available in the public library. What households are omitted from this sampling frame?
1. Households that connect to the internet with their phone line.
2. Households that possess only cellphones Households with a second line for the fax machine.
3. Households that have moved into the community since the most recent community telephone directory was printed.
4. Households with unlisted numbers. Households with more than one line. Poor households (cannot afford a phone)
5. Households without telephones.
Question 2. What types of people do you think are most likely to live in the omitted households selected in question 1?
1. These people will probably be underrepresented in the sample. lower income people (cannot afford a phone)
2. people who choose not to list their numbers people who choose not to have phones
3. people who graduated from UNC-Chapel Hill
4. jobless people who have moved into the community to look for employment since the most recent community telephone directory was printed
5. people who drive hybrid automobiles high income people
Question 3. It is usual in telephone surveys to use random dialing equipment that selects the last four digits of a telephone number at random after being given the land-line exchange (the first three digits; note that cell phone exchanges differ from land-line exchanges). Which of the households you selected in Question 1 above will be included in this sampling frame by random digit dialing?
1. Households that possess only cellphones Poor households (cannot afford a phone)
2. Households with unlisted numbers
3. Households without telephones
4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.
Answer:
Question 1:
2. Households that possess only cellphones. 5. Households without telephones.As the pollster used the telephone directory, they will get the numbers of listed people in that community. Cellphones are not listed along with households with telephones so these will be underrepresented.
Question 2:
1. Lower income people (cannot afford a phone).2. people who choose not to list their numbers people who choose not to have phones.Question 3:
2. Households with unlisted numbers 4. Households with land-line telephones that have moved into the community since the most recent community telephone directory was printed.Households with unlisted numbers will still be called because the person is using random dialling which means that even if the number is not listed, it can still be called. Households with landlines will most definitely be reachable as well.
An amount of $42,000 is borrowed for 6 years at 9% interest, compounded annually. If the loan is paid in full at the the end of hat period how much must be paid back?
Answer:
70,438.20
Step-by-step explanation:
To calculate the future value you use the following formula
FV=PV(1+i)^n
Plug in our numbers and get
FV=42000(1+.09)^6
42000*1.09^6=70,438.20
Will mark brainlist please help geometry
9514 1404 393
Answer:
ΔPRQ ≅ ΔVWX
Step-by-step explanation:
ASA means the corresponding side lies between the two corresponding angles. That is true for triangles PRQ and VWX.
We chose to name the triangles starting with the angle marked with the single arc, then the angle marked with the double arc. They can be named using any permutation of the letters, provided that the same correspondence is achieved between the two names.
Calculate and give your answer
its simplest form.
8 /7
X
7/8
Your answer
Answer:
1 I believe if your asking in in simplified form and if 8/7 and 7/8 are multiplied
Step-by-step explanation:
A rhombus and a triangle are equal in areas. if the base and height of the triangle are 24.8 cm and 5.5 cm respectively and the length of one diagonal of the rhombus is 22 cm, find the length of other diagonal of the rhombus.
As we know that
Area of triangle = ½ × Base × Height
Area = ½ × 24.8 × 5.5Area = 1 × 12.4 × 5.5Area = 12.4 × 5.5Area = 68.2 cm²Now,Area of rhombus = ½ × D1 × D2
68.2 = ½ × 22 × D268.2 × 2 = 22 × D2136.4 = 22 × D2136.4/22 = D26.2 = D2D2=6.2Hence :-Other Diagonal is 6.2 cm.[tex]\begin{gathered} \\ \end{gathered}[/tex]