Answer:
Indirect method actually follows the same set of procedure as the direct method except that it begins with net income unlike the elimination method reduced a given system that indicates a system has no unique solution.
Please help me fast. I’m confused.
Find the value of x.
168
x = [? ]°
Answer: 84
Step-by-step explanation:
The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees
Circle geometry.From the figure given, the horizontal line is the line tangential to a circle.
Given the following parameter
measure of minor arc = 168 degrees
Required
angle at the vertex "x"
Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;
x =1/2 minor arc
x= 1/2 (168)
x = 84 degrees
Hence the measure of the missing angle "x" is 84 degrees
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find the area of each circle
Answer:
1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86
Step-by-step explanation:
For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26
For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985
The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)
Answer:
Diameter of the circle = 7
Step-by-step explanation:
The exact question is as follows :
Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2
To find - determine the diameter of the circle that contains AH.
Proof -
Given that,
AH = 6
RC = 2
Let us denote,
CB = x
So,
RB is the radius of the circle. It gives the value x + 2
As AH = 6
⇒AC = CH = 3
Also,
BH is the radius,
So, BH = x + 2
Now,
In triangle CBH,
BH² = CB² + HC²
⇒(x+2)² = x² + 3²
⇒x²+2² + 4x = x² + 9
⇒4 + 4x = 9
⇒4x = 9 - 4
⇒4x = 5
⇒x = 5÷4
⇒x = 1.5
So,
Radius = x + 2
= 1.5 + 2 = 3.5
⇒Radius = 3.5
As we know,
Diameter = 2×Radius
= 2×3.5
= 7
⇒Diameter of the circle = 7
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The prom is in need of a floral archway, such as the one below.
Segment RC is the perpendicular bisector of segment AH.
If AH = 6 and RC = 2.
Let CB be x.
Then the radius RB will be x + 2
BH = x + 2
Then by the Pythagoras theorem, we have
BH² = CB² + HC²
⇒ (x + 2)² = x² + 3²
⇒x² + 4 +4x = x² + 9
⇒ 4x = 5
⇒ x = 1.25
The radius will be
r = x + 2
r = 1.25 + 2
r = 3.25
Then the diameter will be
Diameter = 2 × r
Diameter = 2 × 3.25
Diameter = 6.5
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Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
(15) A – 2 2/9 = 1 1/2
16) C – 6.0005 = 2.5
17) B + 55 = 83
Answer:
A= 67/18
C= 8.5005
B= 28
Step-by-step explanation:
Help me?!?!?! Giving brainliest
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
Determine whether the data set represents a direct variation, an inverse variation, or neither?
A.direct variation
B. Inverse variation
C. Neither
The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.
What do you mean by Inverse Variation?Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.
For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.
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y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.
 what is the average of 55 75 20 46 60
Answer:
51.2
Step-by-step explanation:
PLZ AWNSER I HAVE 10 MIN TO COMPLETE
Answer:
theres nothing there
Step-by-step explanation:
Answer:
There is nothing attatched sorry
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation:
in Carla's backyard there are four trees whose measurements she records as 13 feet 7 feet 9 feet and 6 feet determine the mean height of trees in Carla's back yard
Answer:
ok sure
Step-by-step explanation:
So 'mean' basically just means average, and to get the average you must first add together all of the measurements. Then you have to divide that number by how many measurements you have, and in this case that would be 4.
13 + 7 + 9 + 6 = 35
35 ÷ 4 = 8.75
So the answer to this question is 8.75
3 2/3 - 1 1/4 what’s the answer
Answer:
95/12 as an improper fraction.
Answer:
[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = [tex]\frac{17*17}{2}[/tex]
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!
You pay 5.65% on the first 110,000 of income and 1.45% in excess of $110,000. Calculate the FICA tax for an employee who earns 60,000 a year
Answer:
The FICA tax for an employee who earns 60,000 a year is $ 3,390.
Step-by-step explanation:
Given that you pay 5.65% on the first 110,000 of income and 1.45% in excess of $ 110,000, to calculate the FICA tax for an employee who earns 60,000 a year the following calculation must be performed:
60,000 <110,000
60,000 x 0.0565 = X
3,390 = X
Therefore, the FICA tax for an employee who earns 60,000 a year is $ 3,390.
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
What is the area of the trapezoid shown below? 5 units 6 units 9 units
Answer:
N/A
Step-by-step explanation:
Please be more specific, which is base and which is height
Help pls I have 3 mins
Answer:
B or (0,8)
Step-by-step explanation:
Answer:
(0,8)
Step-by-step explanation:
what is the discriminant of x^2=-14x-40
Answer:
Explanation:
x2+14x+40
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅40=40
and,
N1+N2=b=14
After trying out a few numbers we get N1=10 and N2=4
10⋅4=40, and 10+4=14
x2+14x+40=x2+10x+4x+40
=x(x+10)+4(x+10)
Here (x+10) is common to both terms.
So the factorised form is=(x+4)(x+10)
Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
Help with this question!Please
Step-by-step explanation:
The given angle is a 90° . Therefore the sum of both angles is 90° .
> 40 + x = 90
> x = 90 - 40
> x = 50
Solution 2 ;-
> 20 + x = 90
> x = 70
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]