Answers
theta = tan^-1(28/47) â 32.7 degrees
Therefore, the answer is 32.7 degrees (1 dp).
The value of theta in tanФ = 28/47 is 30.75° .
Given,
tanФ = 28/47
Here,
tanФ in right angled triangle measured by,
tanФ = P/B
P = perpendicular
B = base
Here,
tanФ = 28/47
Take inverse of tan to obtain the value of Ф .
Ф = [tex]tan^{-1}[/tex] (28/47)
Ф = 30.75° .
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Related Questions
The rule is x→y=−2x. c Can you mark all the points that fit the rule on a coordinate plane?
Answers
Step-by-step explanation:
Y=0,-2,2
X=-1,0,1
Since x represent y = - 2x
The points that fit the rule on a coordinate plane are (0, 0), (1, -2), (2, -4) and (3, -6)
Selecting the points that fit the rule on a coordinate plane?From the question, we have the following parameters that can be used in our computation:
Rule: x→y=−2x
Express properly
So, we have the following representation
Rule: x → y = −2x
As an equation, we have
y = -2x
Next, we set values for x and calculate the value of y
Using the above as a guide, we have the following:
x : 0 → y = −2(0) = 0
x : 1 → y = −2(1) = -2
x : 2 → y = −2(2) = -4
x : 3 → y = −2(3) = -6
So, the points that fit the rule on a coordinate plane are (0, 0), (1, -2), (2, -4) and (3, -6)
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Find the area of the composite figure.
A. 82 squared ft
B. 61 squared ft
C. 40 squared ft
D. 49 squared ft
Answers
Area of rectangle
Length*Breadth10*440ft²Area of triangle
1/2*Base*Height1/2*7*63*721ft²Total area
21+4061ft²Option B
I took the test
Use your knowledge of simulations to answer the questions below.
5. Eastside Middle School has 75% student participation in the fall carnival. Determine which of
the simulations below could model the probability of a student participating.
rolling a number cube, where rolling an odd number represents students who participate in
the fall carnival
spinning a spinner with the equal sections marked with the letters A-E, where spinning a
vowel represents students who participate in the fall carnival
spinning a spinner with four equal sections numbered 1-4, where spinning anything but 1
represents students who participate in the fall carnival
Answers
Answer:
5. Eastside Middle School has 75%
Step-by-step explanation:
Please help will give brainlest and special thanks
Answers
Answer:
i did this the answer is 15.7
Step-by-step explanation:
all you have to do is 10 x 15 = 15.0 and than do 15.0 x 100= 15.7
1. Thomas collected the data in Table 1 to answer a statistical question. Which statistical question does the data in Table 1 answer?
2. Which statistical question does the data in Table 2 answer?
3. Which statistical question does the data in Table 3 answer?
4. Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer.
5. Based on your answer to Part A, calculate the value of the most appropriate center value of the heights.
6. Which measure of center is the most appropriate for the data in Table 2 (Weight)? Give a reason for your answer.
7. Based on your answer to Part C, calculate the most appropriate center value of the weights of students in Thomas’s class.
8. What is the interquartile range for the data in Table 3 (Number of Siblings)?
9. What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?
Answers
Answer:
The data in Table 1 answers the question of what the distribution of heights is in Thomas's class.
The data in Table 2 answers the question of what the distribution of weights is in Thomas's class.
The data in Table 3 answers the question of what the distribution of number of siblings is in Thomas's class.
The most appropriate measure of center for the data in Table 1 is the mean. The mean is the average of all the values in the data set. In this case, the mean height is 5'8".
The mean height of the students in Thomas's class is 5'8".
The most appropriate measure of center for the data in Table 2 is the median. The median is the middle value in the data set. In this case, the median weight is 150 pounds.
The median weight of the students in Thomas's class is 150 pounds.
The interquartile range (IQR) is a measure of variability that is calculated by taking the difference between the third and first quartiles. In this case, the IQR is 25 pounds.
The mean absolute deviation (MAD) is a measure of variability that is calculated by taking the average of the absolute values of the differences between the data values and the mean. In this case, the MAD is 10 pounds.
Adam is purchasing a new television that costs $2,187.96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3.5%. What is the total amount he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)
Answers
Basic Interest
When there is only one compounding every time period, simple interest is applied.
The formula for calculating interest after t years is 1 = Prt.
Where P is the initial sum and r is the interest rate in decimal form.
The following are the parameters for this problem:
P = 2187.96, r = 0.035, t = 2.
The interest will therefore be paid at the rate of 1=Prt = 2187.96 x 0.035 2 = $153.16.
Suppose the pyramid is sliced so that the cross-section is a trapezoid. How can you slice the pyramid to get a trapezoid?
Answers
Answer: Slice the top off
Step-by-step explanation:
On the coordinate plane, mark all points (x, y) that satisfy each rule. y = 3x − 2
Answers
Answer:
(-2,-8)
(-1,-5)
(0,-2)
(1,1)
(2,4)
Step-by-step explanation:
Start with y=0 for starters, make a graph, then plug in the equation 0=3x-2. Then you just multiple 0 by 3 and subtract to then bam, x=-2 and so on
A store is running a "buy 3 get 2 free" promotion on twelve-packs of soda. Each twelve-pack costs $5.49. How much will Peter pay for 25 twelve-packs of soda?
Answers
Answer: $82.35
Step-by-step explanation:
For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.
3/5 = 0.6 or 60%
So, if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.
25 x 0.6 = 15
If you are paying for 15 twelve-packs, and each one is $5.49, then the total would be $82.35.
15 x 5.49 = 82.35
Answer:82.35
Step-by-step explanation:
For every 3 you buy, you get 2 free. This means out of every 5 twelve-packs, you pay for 3 of them, or 60%.
3/5 = 60%
if you buy 25 of them, you pay for 60% of 25 twelve-packs, or 15 of them.
25 x 0.6 = 15
15 twelve-packs, each one is $5.49, then the total would be $82.35.
15 x 5.49 = 82.35
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (1 point) a (4, 2) is the solution to line A but not for line B b (4, 2) is the solution to both lines A and B c (0, 0) is the solution to both lines A and B d (0, 0) is the solution to line A but not for line B
Answers
Answer:
attach a picture and I’ll help you
Step-by-step explanation:
Helppppppppppppppppppp T^T Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (1 point) a (4, 2) is the solution to line A but not for line B b (4, 2) is the solution to both lines A and B c (0, 0) is the solution to both lines A and B d (0, 0) is the solution to line A but not for line B
Answers
B (4, 2) is the solution to both lines A and B.
Just count to find the coordinate points. 4 = x and 2 = y.
They both hit the coordinate points (4, 2) which means it should be B.
Side Note - You shouldn't bunch the answers in the same paragraph because it'll look like a bunch of mess. I was a bit confused when reading it for the first time.
58 children are taking a bus to the zoo 2 children sit in every seat how many seats will the children need in all
Answers
Divide 58 and 2.
The answer will be 29.
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
Group of answer choices
900
2,000
2,100
4,000
Answers
Answer:
I haven't done anything like this for many years, but i think the answer is 900
Step-by-step explanation:
5000/ 150 = 33.33333333
33.3333333 X 27 = 900
Again, I haven't done this in forever, but I'm 99% sure it is 900. :)
27/150= 0.18
so 18% of the 150 people like mustard
then 0.18 x 5000= 900
meaning it’d be estimated around 900
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}
Which of the following stem-and-leaf plots correctly graphs the data set?2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 3
1 1 7
2 0 2 4 8
3 1 3
Key 1|1 = 11
Riverside Red Dragon Football Season Points
1 1 7
2 0 2 4 8
3 0 1 3
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 0 1 3
Key 1|1 = 11
Answers
Answer:
first choice
Step-by-step explanation:
0 0 3
1 1 7 7 7 7
2 0 0 0 2 4 8 8
3 1 3
Three park rangers had to report on the ways visitors use their facilities. Each ranger surveyed a sample of park visitors. Determine whether or not each sampling described is random or biased.
Answers
Answer:
To determine whether a sampling is random or biased, we need to know how the sample was selected. Here are three possible scenarios:
Ranger 1 stands at the entrance to the park and surveys the first 100 visitors who arrive.
This sampling is biased, as it only includes visitors who arrived early in the day. Visitors who arrive later in the day may have different characteristics or behaviors, so this sample may not be representative of all park visitors.
Ranger 2 selects every 10th visitor who enters the park and surveys them.
This sampling is random, as every 10th visitor is selected without bias. This method is called systematic sampling.
Ranger 3 surveys visitors who are leaving the park on a rainy day.
This sampling is biased, as visitors who come to the park on a rainy day may have different motivations or behaviors than visitors on a sunny day. This sample may not be representative of all park visitors.
In summary, sampling methods that are random, such as systematic sampling, are preferred over biased sampling methods in order to obtain a representative sample of the population of interest.
Answer: Depending on the situation
Step-by-step explanation: For a sample to be random, everyone/thing has to have an equal chance of getting selected. Ex. One of the park rangers asked everyone in one part of the park. - This example would be biased because the people who weren't in that part of the park had less of a chance of being picked
HELP ASAP PLEASSEEEE
Answers
Answer:
-2
Step-by-step explanation:
Answer: -2
Step-by-step explanation: 5 x 2 = 10
5 x -2 = -10
-5 x 2 = -10
Basically reverse the process with division, if there is one negative the answer will be negative.
plsssss help find the area of the shaded region
Answers
Explanation:
First you find the radius which has been given, it is 8.
You then plug it into area formula (pi r squared)
*pi = 3.14*
use a calculator and type in 3.14(8)^2
you will get 201 (rounded)
Second find the area of the square which is 12 times 12 equals 144
Now do 201-144= 57! Which is the shaded region :)
100 POINTS PART B ANSWER ASAP MATHAMATIICS
Answers
Answer:need more info
Step-by-step explanation:
g: 3
h: 29.83
2x = -28
Is it horizontal or Vertical?
Please help me on this asap!!!!
Answers
2x=-28
x=-28÷2=(-14)
I hope it helps you
what number can be subtracted from 11 get to 3
Answers
Answer:
8
Step-by-step explanation:
11 - 8 = 3
Was there anything more to this question?
A bit too simple for middle school level
Solve: 8/12=_/15, multiply 8/12 with a number that will give you _/15
Answers
8/12= x/15
8/12 simplified is 2/3
2/3= x/15
15 divided by 3 = 5
5 (2) = 10
10/15= 0.66667
question in the picture
Answers
Answer:
26
using sohcahtoa principle
tanx=opp/adj
i.e 14/29
therefore find the arctan of (14/29)
which gives 25.7693 approximately 2y
Please help me out on this one NEEDED IN 30-40 MINS
Answers
Answer:
Sales tax is $2.70.
Hope this helps
the sales tax is $2.70
Of course, not all numbers are perfect squares. Complete the table by indicating whether the numerical value in each equation is a perfect square. If it isn’t a perfect square, indicate which perfect squares it is between.
Answers
Answer:
16,49 and 121 are perfect squares
Step-by-step explanation:
hope it helps :)
Solve for x and y
NEED FOR TEST
Answers
Answer:
x = 4 and y = 6
Step-by-step explanation:
With the way the equations are set up, substation is faster.
Just substitute -1/2x + 8 for the y in the first equation.
3x + 4(-1/2x + 8) = 36
And then you can just solve the equation. You would get x = 4.
Substitute 4 for x.
y = -1/2(4) + 8
y = 6
a 4 year loan with 6% simple interest? Find the total amount paid, interest paid, and the monthly payment.
Answers
To find the total amount paid, interest paid, and monthly payment for a 4-year loan with 6% simple interest, we need to know the principal amount of the loan. Let's assume the principal amount is $10,000.
Total amount paid = Principal + Interest
Interest = Principal x Rate x Time
Time = 4 years
Interest = $10,000 x 0.06 x 4 = $2,400
Total amount paid = $10,000 + $2,400 = $12,400
To find the monthly payment, we can divide the total amount paid by the number of months in 4 years (48 months).
Monthly payment = $12,400 / 48 = $258.33 (rounded to the nearest cent)
Therefore, the total amount paid is $12,400, the interest paid is $2,400, and the monthly payment is $258.33.
which pair of numbers between -7 and -8?
Answers
Answer:
-8 = -√64, -7 = -√49
So the correct answer is B.
Answer:
B
Step-by-step explanation:
7^2 = 49 and 8^2 = 64. Therefore, you want the numbers under the radicals to be in between both 49 and 64. The only answer choice where both numbers are in between these is B.
PLEASE HELP IT IS SIMPLE COMPOSITE SHAPES
Answers
Answer:
its 38.13
Step-by-step explanation:
firstly let's find area of the half circle
we know that diameter of the circle is 6 so which gives us the radius which is 3 inch
3.14 otherwise known as pi
lets multiply pi by radius^2
3.14×3^2= 28.26 divide it by 2 because circle is cut in half 28.26/2= 14.13
now let's find area of the rectangle
6×4=24
now let's find the area of this figure
14.13+24 = 38.13
Javier asked the members of his 4-h club how many projects they were taking
Answers
Answer: Hello ! I need a little more information to help , sorry
Step-by-step explanation:
Here’s a box plot that summarizes the average monthly rainfall of several cities. Find the range of the data.
Answers
Answer:4
Step-by-step explanation:
