Question: Assume the complete question as, Two forces of 20 Newton’s and 30 Newton’s² act on a point. The resultant force is 40 Newton’s. Find the angle between the two forces
Answer:
75.5°
Step-by-step explanation:
From the question,
Using cosine rule,
R² = P²+Q²-2PQcosθ................... Equation 1
Where θ angle between the the two forces.
Given; R = 40 Newton, P = 20 Newton, Q = 30 Newton.
Substitute these values into 1
40² = 20²+30²-[2×20×30(cosθ)]
1600 = 400+900-(1200cosθ)
1600 = 1300-1200cosθ
1200cosθ = 1600-1300
1200cosθ = 300
cosθ = 300/1200
cosθ = 0.25
θ = cos⁻¹(0.25)
θ = 75.5°
Hence the angle between the forces is 75.5°
Round 188,206 to the nearest thousand
Answer:
188,000
Step-by-step explanation:
Mr. Hoosier has gathered all these data about his finances.
Salary $159,000
Taxable interest $5600
Municipal Bond interest $15,000
Total Itemized deductions $9500
The personal exemption is $4700. The standardized deduction for a single filer is 5000.
Answer:
1. His tax is $37,490.
2. His average effective tax rate is 22%
3. His average tax rate is 24.93%
4. His marginal tax rate is 35%.
5. His tax liability will fall by $170
6. His tax liability will fall by $500.
Step-by-step explanation:
Note: This question is not complete. See the attached pdf file for the complete question.
The explanation of the answer is now given as follows:
1. What is his tax?
Note: See the attached excel for Mr. Hoosier's Tax Computation Based on the Tax Table in the question.
From the attached excel file, the Net tax is $37,490 which is his tax.
Therefore, his tax is $37,490.
2. His average effective tax rate
His average effective tax rate = Tax / (Taxable income + Tax exempt income) = Tax / (Taxable income +Municipal Bond interest) = $37,490 / ($150,400 + $20,000) = 0.2200, or 22%
3. His average tax rate
Average tax rate = Tax / Taxable Income = $37,490 / $150,400 = 24.93%
4. His marginal tax rate
His marginal tax rate is 35% as in the tax computation used based on the tax table.
5. Assume he discovers that he is eligible for a 500 tax deduction. How much does his tax liability fall with that addition?
Taxable income = 150400 - 500 = $149,900
Based on the tax table in the question, we have:
Tax = 8850 + (149900 - 55000) * 30% = $37,320
Reduction in tax liability = $37,490 - $37,320 =$170
Therefore, his tax liability will fall by $170
6. Now he discovers that he is eligible for a $500 tax credit. How much does his tax liability fall due to this credit?
The purpose of the tax credit is to make tax liability reduced dollar by dollar.
Therefore, if he discovers that he is eligible for a $500 tax credit, his tax liability will fall by $500.
i need help can someone help me please
Answer:
y = -2/5x-6
Step-by-step explanation:
i hope this helps :)
Find the distance between the points −9, 7 and −9, −5. A) 12 B) 14 C) 16 Eliminate D) 18
Answer:
its 14
Step-by-step explanation:
Which are examples of statistical questions?
Question 11
Question 2
Question 3
Question 4
Questions
What is Mikki's favorite time to go to sleep?
What time does each student go to sleep?
What time does Malia wake-up in the morning?
What time does each student wake-up?
O questions 1 and 2
O questions 1 and 3
questions 2 and 4
questions 2 and 3
Is 1/10 closer to 0 or 1/2 ?
Answer:
its much closer to 0
Step-by-step explanation:
1/2 is more 5/10 and 0 is 0/10
0 is one away from one and 5 is 4 away
Can u answer my question please?
200(1-0.80)^2
Answer:
the answer is 8 hope it helped <3
Step-by-step explanation:
Answer: 8,
I apologize if I'm wrong. Good luck!
Step-by-step explanation:
First, you need to do parenthesis, 1-0.80=0.2
Then, you do exponents, 0.2^2=0.04
Last, you do 200x0.04=8
Find the sum of the measures of the interior angles of a convex 45-gon.
Answer: 7740
Step-by-step explanation: take 180(n-45) and n represents the sides
The sum of the measures of the interior angles of a convex 45-gon.
is 7740.
What is a cube?It is a polygon having six faces.
The volume of a cube is a side³.
We have,
Polygon with side = 45
Sum of interior angles of any polygon = (n - 2) x 180 ______(1)
Now,
n = 45
So,
Substituting n in (1)
(n - 2) x 180
= (45 - 2) x 180
= 43 x 180
= 7740
Thus,
The sum of the measure of the interior angles is 7740.
Learn more about cubes here:
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How do you graph this (real answers only)
Answer:
Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....
Step-by-step explanation:
heres a graph
I need help I would appreciate it if u would help me with this problem :)
Answer:
The answer is letter A.
Step-by-step explanation:
The amount that each company charges per hour on the pool is known, however the amount of hours they will be working is not, and is needed to distinguish which company is cheaper. Therefore, the number of hours is substitued by x and it is right next to the amount they charge for each hour. To find what each company charges, you must sum up what they charge and what they charge per hour, times the hours they will have to work on it( which is unknown and by x).
the expression (x^12)(x^25)^2 is equivalent to x^p . what is the value of p
Answer:
p = 6
Step-by-step explanation:
[tex](x^{2})(x^{2})^{2}[/tex]
[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]
The equation is now [tex](x^{2} )(x^{4})[/tex]
add the two exponents together 2 + 4
the final answer is [tex]x^{6}[/tex]
Help!
JH is a mid-segment of KLM. Find the value of x.
JH = mid-segment of triangle KLM.
ML = 22
(1/2)(ML) = 11
JH = (1/2)(ML) = x
So, x = 11.
Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?
Respuesta:
Botella, B = 0.5
Jarra, C = 2,5
Explicación paso a paso:
Dejar :
Garrafa = C
Botella = B
C = 5B - - - - 1)
3 garrafas más 7 botellas = 11 litros
3C + 7B = 11
C = 5B
3 (5B) + 7B = 11
15B + 7B = 11
22B = 11
B = 11/22
B = 1/2 = 0,5
Sustituyendo B = 0.5 en 1)
C = 5B
C = 5 (0,5)
C = 2,5
Please help I was on this for a while
Answer:
Radius R = 9 ft
Step-by-step explanation:
Given:
Volume of sphere = 972π ft³
Find:
Radius R
Computation:
Volume of sphere = (4/3)πr³
972π = (4/3)πr³
729 = r³
Radius R = 9 ft
!!!OMGG I NEED HELP QUESTION AT THE BOTTOM!!!!
Answer:
C I think
Step-by-step explanation:
A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00
Answer:
63.00
Step-by-step explanation:
Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.
Answer: 84
Step-by-step explanation: do 42 dived by 50% gets you 84
Please help me with geometry :(
Answer:
I think it's C is true but make sure
What is the value of the expression?
Answer:
6s2
= 6(2)2
= 12 × 12
= 144
: The value of the expression is equal to 144
The largest three-digit multiple of 6 ?
Answer:
Step-by-step explanation:
100 is the smallest three-digit number. 999 is the highest three-digit number. 102 is the smallest three-digit number divisible by six. 996 is the largest three-digit number divisible by six.
Answer:
744Step-by-step explanation:
The largest 3-digit multiple of 6 that uses digits 4 and 4.
The multiple of 6 is an even number which is divisible by 3.
Numbers are only divisible by 3 if the sum of the digits is divisible by 3.
We have 4 + 4 = 8 and the largest digit to add is 7.
744 is the largest possible number.Proof:
744/6 = 124A.75
B.80
C.95
D.110
Answer:
D. 110
Step-by-step explanation:
CDHK ≅ MPTS
So: D = P
P = 110°
D = 110°
Please help
I don’t understand it
Answer:
6
Step-by-step explanation:
a^2+b^2=c^2
(3√(2))^2=18
(3√(2))^2+(3√(2))^2=36
√36=6
hypto=6
Pls help me with it!!!!!!
Answer:
I dont really know but I can tell you for sure its one of the first 2
Step-by-step explanation:
5x + 5(x - 18) = 0 what is x
Answer:
x = 9
Step-by-step explanation:
5x + 5x - 90 = 0
5x + 5x = 90 + 0
5x + 5x = 90
10x = 90
x = 9
Hope that helps!
-Sabrina
please answer asap!!!!
first answer will get brainliest
Answer:
The answer is C
Step-by-step explanation:
Answer: )D
Step-by-step explanation:
Solve for x.
-2x-3=-7
-2x-3=-7
add 3 to both sides
-2x=-4
isolate x by diving both sides by -2
Answer: x=2
Hope that helps!
Please mark brainliest
Answer:
x = 2
Step-by-step explanation:
The whole goal when solving problems like this is to get the x alone. So the first step would be to get the -3 over to the other side. To do this, you would add 3 to each side of the equation, so that the -3 on the left side cancels out.
-2x - 3 = -7
+3 +3
-2x = -4
The next thing you need to do is divide each side by -2. You would do this because right now, the equation reads "negative two times x equals negative four". When you divide a multiplication problem, it cancels out, so you are left with just the x.
-2x = -4
÷ -2 ÷ -2
x = 2
You now have the value of x.
Please let me know if you need any more help. I hope this explanation helps you understand a bit better. Have a great day! :)
only need this one please....
its timed
please solve!!!!!!!!!
2(14y-3y+28x+12.2-5y-17.5)
then which one is it equavilint to?
A. 84x-167-5.3
B. 28x-6y-10.6
C. 42x-8y-5.3
D. 84x-16y-5.3
help please its timed 20 points
Answer:
56x+12y-10.6
Step-by-step explanation:
The multiple choice answer is B.
Answer:
Step-by-step explanation:
2(14y-3y+28x+12.2-5y-17.5) = 2(14y - 3y - 5y + 28x + 12.2 - 17.5)
= 2( 6y + 28x - 5.3)
= 2*6y + 28x* 2 - 5.3*2
= 12y + 56x - 10.6
What is the measure of an exterior angle of a regular hexagon?
Enter your answer in the box.
Answer:
60°
Step-by-step explanation:
each interior angle of a regular hexagon measures 120° (720° divided by 6 sides)
therefore, each exterior angle measures 180-120 = 60°
please help will give brainliest need fast
Answer:
x = 5
Step-by-step explanation:
18 + 9 = 27
27/9 = 3
3x = x + 10
2x = 10
x = 5
Answer:
Option D is correct.
Value of x is, 10 units.
Step-by-step explanation:
Given that:
From the given figure, we have;
AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.
then, by triangle proportionality theorem;
Substitute the given values, to find the value of x;
By cross multiply we have;
Divide both sides by 6 we get;
10 = x
Therefore, the value of x is, 10 units
what is the 30th term In the sequence 10,7,4,1-3,...
determine the term to term rule
Answer:
7
Step-by-step explanation:
ok so it 7 but 10 is out so is 3
The table below displays the enrollment of freshmen taking Algebra 1. Geometry, or Algebra 2.
The total number of girls enrolled is equal to the number of boys.
There are twice as many boys enrolled in Algebra 1 as boys enrolled in Geometry.
Based on this information, complete the two-way table below.
Answer:
for the boys it is 92 then 58 and the total is 150 an then 68 for the girls then for the total it is 100
The missing values in the two-way table is shown in the table in the image attached below.
What is a Two-way Table?A two-way table can be described as a table that displays the frequencies of two categorical variables, in such a way that, one category is represented by columns and the other by rows.
Given the information, the missing values in the two-way table would be:
Total number of boys enrolled = 150
Boys that enrolled in Algebra 1 = 2(46) = 92
Boys that enrolled in Algebra 2 = 150 - 92 - 46 = 12
Girls that enrolled in Algebra 1 = 150 - 54 - 28 = 68
Total for boys and girls that enrolled in Geometry = 46 + 54 = 100.
Therefore, the missing values in the two-way table is shown in the table in the image attached below.
Learn more about two-way table on:
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