2 hundreds and 2 thousandths in decimal form?
Answer:
0.022
Step-by-step explanation:
let me explain the number before the decimal is the whole number now what ever is behind the decimal izs a decimal for example 0.1 is 0 and the .1 is the tenth
You took out a loan for $15,000 for 3 years with an interest rate of 3.5%. Including interest, how much will you pay total?
Answer:
39%
Step-by-step explanation:
Carlie can make 5 friendship bracelets in one hour, and Jackie can make 3 friendship bracelets in one
hour How long will it take for them to make 100 bracelets together?
Answer:
12.5
Step-by-step explanation:
Adding the amount of friendship bracelets per hour together, we get 8 per hour. Divide 100 by 8 and you should get your answer.
2. A parking lot has 68 rows with 24 parking spaces in each row. What is the total number of parking spaces?
1,632
1,502
408
272
Answer: 1,632
Step-by-step explanation:
you have to multiply 68 and 24 and when you do so, you'll get 1,632 as your answer.
A regular polygon is shown with one of its angle measures labeled a.
9 sided regular polygon with one angle labeled a
If m∠a = (3z + 77)°, find the value of z.
z = 72
z = 9
z = 34
z = 21
pls help quick
The values of z in the regular polygon is 21.
What is regular polygon?A regular polygon is a polygon with congruent sides and equal angles.
To calculate the value of z in the regular polygon, we use the formula below.
Formula:
(n-2)180/n = (3z+77)................ Equation 1Where:
n = Number of sides of the polygonFrom the question,
Given:
n = 9Substitute these values into equation 1 and solve for z
(9-2)180/9 = (3z+77)140 = 3z+773z = 140-773z = 63z = 63/3z = 21Hence, the values of z is 21.
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Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N
Answer:
x = 3.3
Step-by-step explanation:
Reference angle = 51°
Hypotenuse = x
Adjacent = 5.3
Apply trigonometric function CAH, which is:
Cos 51° = Adj/Hyp
Cos 51° = 5.3/x
x*Cos 51° = 5.3
x = 5.3/Cos 51°
x = 3.3 (nearest tenth)
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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Explain how adding and subtracting decimals is similar to adding and subtracting whole
numbers. Explain how they are different.
Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit
How to illustrate tye decimal?One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.
Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.
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Hello pls help me
:)
The unknown angles of the similar triangle are as follows:
m∠W = 55°
m∠X = 90°
m∠Y = 35°
How to find the angles of similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, the corresponding angles of the triangles are congruent.
Hence, the triangle is assume to be drawn accurately.
Therefore,
m∠W = m∠D
m∠X = m∠E
m∠Y = m∠C
Therefore,
m∠W = 180 - 90 - 35 = 55 degrees
m∠X = 90 degrees
m∠Y = 35 degrees
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Cual es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de 1140
Answer:
El capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.
Step-by-step explanation:
Para determinar cuál es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 se debe realizar el siguiente cálculo:
6 / 2 = 3
10/60 = 0.16666
10 x 3.1666 = 31.666
31.666 = 1140
100 = x
100 x 1140 / 31.666 = X
114,000 / 31.666 = X
3,600 = X
Por lo tanto, el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de $1140 es $3,600.
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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I need some help with this question, I have been trying to figure this question out. i am confused as they what fractions then mean.
sinB = 15/17
cosB = 8/17
tanB = 15/8
Explanation:Considering the angle B:
The opposite = 15
The adjacent = 8
The opposite = 17
Note that:
sin θ = Opposite/Hypotenuse
cos θ = Adjacent/Hypotenuse
tan θ = Opposite/Adjacent
Based on the points stated above:
sinB = 15/17
cosB = 8/17
tanB = 15/8
How do I multiplying 4567x89076
Answer:
406810092
You could just use a calculator
grayson lives and works in indiana, which has a flat state income tax of 3.4% of his annual salary is 49,255$ and he gets paid once a month, how much is withheld from his gross income for state income tax each pay period
Answer:
Step-by-step explanation:
49255-1674.67=47580.33
Consider this equation
1/x-1 = | x-2 |
Using three iterations of successive approximation, what is the approximate solution to the equation? Use the graph as a starting point.
A. x ≈ 43/16
B. x ≈ 21/8
C. x ≈ 41/16
D. x ≈ 19/8
The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.
Given that the equation involves absolute value, we will consider two cases:
Case 1: x - 2 ≥ 0
In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.
Case 2: x - 2 < 0
In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).
Now, let's perform the successive approximation:
Iteration 1:
Let's start with an initial guess, x = 2.
Case 1: When x - 2 ≥ 0,
1/(2-1) = 2-2,
1/1 = 0,
which is not true.
Case 2: When x - 2 < 0,
1/(2-1) = -(2-2),
1/1 = 0,
which is not true.
Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.
Iteration 2:
Let's try x = 3.
Case 1: When x - 2 ≥ 0,
1/(3-1) = 3-2,
1/2 = 1,
which is not true.
Case 2: When x - 2 < 0,
1/(3-1) = -(3-2),
1/2 = -1,
which is not true.
Again, our guess did not satisfy the equation in either case.
Iteration 3:
Let's try x = 2.5.
Case 1: When x - 2 ≥ 0,
1/(2.5-1) = 2.5-2,
1/1.5 = 0.5,
which is true.
Case 2: When x - 2 < 0,
1/(2.5-1) = -(2.5-2),
1/1.5 = -0.5,
which is not true.
Our guess of x = 2.5 satisfies the equation in Case 1.
Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
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Which compound inequality is equivalent to
for all real numbers a, b, and c, where
Note that the compound inequality that is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0 is:
ax - b > c or ax - b < -c (Option D)
A compound inequality is an equation that contains two or more inequalities joined together by the words "and" or "or," which describe a range of values that satisfy the inequality.
The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > c
ax - b < -c
Hence, the equivalent compound inequality is (d) ax - b > c or ax - b < -c
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
A) -c <ax-b>c
B) -c > ax-b>c
C) ax—b>-c or ax-b>c
D) ax—b or ax-b>c
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
q^2+5/6q
The perfect square trinomial and binomial of the expression \(q^{2}\) + \(\frac{5}{6}q\) are \(q^{2}\) + \(\frac{5}{6}q\) + \(\frac{25}{144}\) and \((q + \frac{5}{12}) ^{2}\)
What is a perfect square expression?Perfect squares are numbers or expressions that are the product of a number or expression multiplied to itself. 7 times 7 is 49, so 49 is a perfect square. x squared times x squared equals x to the fourth, so x to the fourth is a perfect square.
\(q^{2}\) + \(\frac{5}{6}q\) expression can be made into a perfect square by adding the square of half the coefficient of q
coefficient of q = \(\frac{5}{6}\)
Half of \(\frac{5}{6}\) = \(\frac{5}{12}\)
square \(\frac{5}{12}\) we have \((\frac{5}{12}) ^{2}\) which becomes \(\frac{25}{144}\)
so the perfect square trinomial = \(q^{2}\) + \(\frac{5}{6}q\) + \(\frac{25}{144}\)
the binomial is \((q + \frac{5}{12}) ^{2}\)
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A circle is defined by the equation given below.
x2 + y2- x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
A (6, -1), 4 units
B. (1, 1), 4 units
C. (, 1), 2 units
d. (, -1), 2 units
Answer:
Center - (1/2 , 1)
Radius - 2
Step-by-step explanation:
Answer: (1/2, 1) 2 units
Step-by-step explanation: Got it right
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value of x in the secant intersection is 4.
How to find the length in a secant?If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Therefore, let's find the value of x using the secant intersection theorem as follows;
4(4+x + 2) = 5(5 + x - 1)
4(6 + x) = 5(4 + x)
24 + 4x = 20 + 5x
24 - 20 = 5x - 4x
x = 4
Therefore,
x = 4
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QUESTION 1: Marques made a mistake when solving this problem. On what line did he make the error?
Line 1 Line 2 Line 3 Line 4 Line 5
Line 2 presents the error for the solution presented because the square of numbers: 14 and 8 was calculated incorrectly.
Law CosinesThis law can be applied when two sides of the triangle and the angle formed for these sides are known. Therefore, from the law of cosines, it is possible to write the relation between sides and their respective cosines. See below:
\(c^2=a^2+b^2-2*a*b*cos(C)\)
For solving this question, you should apply the Law Cosines and after that compare your solution with this exercise. From the comparison, you should identify the mistake for the solution presented in this problem.
Applying Law Cosines\(c^2=a^2+b^2-2*a*b*cos(C)\\ \\ c^2=14^2+8^2-2*14*8*cos(80)\\ \\ c^2=196+64-224*0.1736\\ \\ c^2=196+64-38.8864\\ \\ c^2=221.1136\\ \\ c=\sqrt{221.1136}=14.9\)
Comparison and identification of the mistakeHe made the error in line 2. Instead of calculating the square of 14 and 8, he multiplied these numbers by 2. This was the error.
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Can anyone help me?
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,
\(\tan \theta=\dfrac{Opposite}{Adjacent}\)
In triangle ABC,
\(\tan \theta=\dfrac{AC}{BC}\)
\(\tan \theta=\dfrac{2.7}{5}\)
\(\tan \theta=0.54\)
It can be written as
\(\theta=\tan^{-1}0.54\)
\(\theta\approx 28.369\)
Therefore, the measure of θ is 28.369.
Can I get help with what y equals?
How many people were in the sample?
5
11
8
55
Answer:
11
Step-by-step explanation:
add up all of the X symbols to get 11. Hope i helped!
Answer:The answer is 11.
The guy above me is correct.
Step-by-step explanation:
A lake has a large population of fish. On average, there are 2,400 fish in the lake, but this number can vary by as much as 155. What is the maximum number of fish in the lake? What is the minimum number of fish in the lake?
Answer:
Minimum population of fish in lake = 2400 - 155 = 2245
Maximum population of fish in lake = 2400 + 155 = 2555
Step-by-step explanation:
population of fish in lake = 2400
Variation of fish = 155
it means that while current population of fish is 2400, the number can increase or decrease by maximum upto 155.
For example
for increase
population of fish can 2400 + 2, 2400 + 70, 2400 + 130 etc
but it cannot be beyond 2400 + 155.
It cannot be 2400 + 156
similarly for decrease
population of fish can 2400 - 3, 2400 - 95, 2400 - 144 etc
but it cannot be less that 2400 - 155.
It cannot be 2400 - 156
Hence population can fish in lake can be between 2400 - 155 and 2400 + 155
minimum population of fish in lake = 2400 - 155 = 2245
maximum population of fish in lake = 2400 + 155 = 2555
Pairs of shorts had a mark_up of 17%which includes profit and GST at a price of k29. 25.Find the cost price.
The cost price of the shorts is K22.50.
To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.
Let's assume the cost price of the shorts is represented by C.
The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.
117% of the cost price C can be calculated as (117/100) * C.
GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.
Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.
Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:
Selling price before GST = Selling price - (Selling price × R)
In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:
K29.25 = Selling price - (Selling price × 0.17)
Simplifying the equation
K29.25 = Selling price × (1 - 0.17)
K29.25 = Selling price × 0.83
Selling price = K29.25 / 0.83
Now we can substitute the selling price in terms of the cost price:
K29.25 / 0.83 = (117/100) × C
Simplifying the equation:
C = (K29.25 / 0.83) × (100/117)
Calculating the cost price C:
C = K22.50
Therefore, the cost price of the shorts is K22.50.
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need some help with question
Answer:
80,4856
Step-by-step explanation:
good day godpkmlkjoi I need more characters
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Question 10 of 10
What is the value of y?
604
12
12
80A
A
12
O A. 60°
O B. 120
O C. Cannot be determined
O D. 36
Answer:
A. 60°
General Formulas and Concepts:
Geometry
Equilateral Triangle - All side lengths and angles are equal to each otherStep-by-step explanation:
From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.
Therefore, m∠y must equal 60°.
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.