For number 20:
Because a triangle is 180 degrees, we will equal all the angles we know to that. So, this is how we will write our equation:
Solve for x:
60 + x + 20 + 3x = 180
4x = 100
x = 20
Using 75, you can find the angle measure by plugging 75 where x is present in the angle measures. For example:
x = 20,
20 + 20 = 40
3(20) = 60
-
For number 21:
The shape shown is basically two triangles, so 180 x 2 is 360. Again, same procedure. Add all known angle measures and make an equation where they all equal 360.
Solve for x:
x-5+x+35+1.4x+x=360
x = 75
By isolating x, you should get an answer of 75. Now, plug that into each of the equations:
x = 75
75 + 35 = 110
75 - 5 = 70
1.4(75) = 105
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
elliot is going to save $15 per week
Answer:
B. 15-W
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
A.)
Step-by-step explanation:
because if elliot gets 15$ each week the it would be a
What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14)(7,−14) in the simplest form?
Answer:
1
Step-by-step explanation:
x2 minus x1 over y2 minus y1
Answer:
-3/2
Step-by-step explanation:
-15/10 = -3/2 when you simplify
What is the area of this polygon?
Enter your answer in the box.
Answer:
42 square units
Step-by-step explanation:
Think of the polygon as being the rectangle GPST added to the triangle PES.
total area = area of rectangle GPST + area of triangle PSE
= LW + bh/2
= GT × GP + PS × h / 2
= 7(5) + 7(2)/2
= 35 + 7
= 42
Just a note of the height of the triangle. The height of triangle PSE, h, is the segment with endpoints E and point (2, 2), so its length is 2.
whts 2 + 2 ;-;..............
Answer:
i think it's 4
Step-by-step explanation:
2
+2
-------
4
Conversion of Units 6- The volume of a wallet is 8.50 in. { }^{3} Convert this value to {m}^{3} , using the dcfinition 1 in. =2.54{~cm} .
The required volume of the wallet in m3 is 0.001393030684 m3.
Given, The volume of a wallet is 8.50 in. 3.
Convert this value to m3, using the definition 1 in. = 2.54 cm.
The given value of volume is 8.50 in.3.
But we need to convert it into m3.
We have, 1 in. = 2.54 cm.
Hence, 1 in.3 = (2.54 cm)3
= (2.54 × 2.54 × 2.54) cm3
= 16.387064 cm3
In order to convert the value from cm3 to m3, we need to follow the given steps:1
m = 100 cm
⇒ (1 m)3 = (100 cm)3
= 106 cm3
Now, we have the relation, 16.387064 cm3 = 1 in.3
⇒ 1 cm3 = (1/16.387064) in.3
∴ 8.50 in.3 = 8.50 × 16.387064 cm3
= 139.3030684 cm3
∵ 1 m3 = (1/106) cm3
∴ 139.3030684 cm3= (139.3030684 × 10−6) m3
∴ 8.50 in.3= 1.393030684 × 10−3 m3
= 0.001393030684 m3
Hence, the required volume of the wallet in m3 is 0.001393030684 m3.
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Sam wants to make a sketch of the white house with a scale factor of 2 inches to 15 feet. She knows that the white house is about 85 feet wide and 152 feet long. What will the width and height of her model be?
Answer: The width of the model = 11.33 inches and the height of the model = 20.27 inches.
Step-by-step explanation:
Given: Scale factor: 2 inches in model = 15 feet in actual.
White house is about 85 feet wide and 152 feet long.
Width of model = \(\dfrac2{15}\times85=\dfrac{34}{3}=11.33\text{ inches}\)
Height of model = \(\dfrac{2}{15}\times152\approx20.27\text{ inches}\)
Hence, the width of the model = 11.33 inches and the height of the model = 20.27 inches.
Stephen can deliver 14 newspapers in 20 minutes. How many hours will it. Take him to deliver 98 papers ?
a) To make the table for the proportional relationship, given that he delivers 14 newspapers in 20 minutes, the first step is to determine the unit rate (or constant of proportionality), that is, the number of papers he delivers in one minute.
Let x be the time in minutes and y be the number of newspapers delivered, their relationship can be expressed as:
\(y=kx\)Where k is the constant of proportionality, you can calculate it as:
\(k=\frac{y}{x}\)For x=20 and y=14
\(k=\frac{14}{20}=\frac{7}{10}=0.7\)The unit rate is 0.7 newspapers per minute.
In an industry 8 prespurre scrisor is used. If has a resistance that changes with pressure according to R=(0,15
p
km
)p+2.5kΩ. This resistance is then converted to a voltage with the relation V= R=(0,15
pe
m
)
R+10kΩ
40R
volts. The sensor time constant is 350 ms. At t=0, the pressure changes suddenly from 40psi to 150psi (i) What is the voltage output at 0.5 s ? What is the indicated pressure at this time? (ii) At what time does the output reach 5.0v ?
(i) At t = 0.5 s, the voltage output is approximately 0.1737 volts, and the indicated pressure is approximately 129.18 psi.
(ii) The output reaches 5.0 volts approximately at t = 0.6764 s.
(i) At t = 0.5 s, we need to calculate the voltage output and the indicated pressure.
To find the voltage output, we first need to determine the resistance at t = 0.5 s using the given pressure-resistance relationship. Substituting p = 150 psi into the equation R = (0.15p km) p + 2.5 kΩ, we get R = (0.15 * 150) + 2.5 = 25 + 2.5 = 27.5 kΩ.
Next, we can calculate the voltage output using the voltage-resistance relationship. Substituting R = 27.5 kΩ into V = (0.15p em) R / (R + 10 kΩ), we get V = (0.15 * 150 * e^-27.5) * 27.5 / (27.5 + 10) = 0.1737 volts.
To determine the indicated pressure, we can rearrange the voltage-resistance relationship and solve for p. Substituting V = 0.1737 volts and R = 27.5 kΩ, we get p = -ln[(40 * R * V) / (R + 10 kΩ)] / (0.15 * e^-R) = 129.18 psi.
Therefore, at t = 0.5 s, the voltage output is approximately 0.1737 volts, and the indicated pressure is approximately 129.18 psi.
(ii) To find the time at which the output reaches 5.0 volts, we need to determine the time constant and the corresponding time value.
Given that the sensor time constant is 350 ms, we know that the voltage will reach approximately 63.2% of its final value after one time constant. Therefore, the voltage at the time constant (t = τ) is V(τ) = 0.632 * 5.0 volts = 3.16 volts.
To find the time at which the voltage reaches 3.16 volts, we can solve for t in the voltage equation V = (0.15p em) R / (R + 10 kΩ). Rearranging the equation and substituting V = 3.16 volts, we get t = -ln[(R * V) / (40 * R - V * R - 10 kΩ)] / (0.15 * e^-R).
Calculating the value of R using the given pressure-resistance relationship for p = 150 psi, we get R = 27.5 kΩ. Substituting this value into the equation, we find t ≈ 0.6764 s.
Therefore, the output reaches 5.0 volts approximately at t = 0.6764 s.
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Using the triangles shown, explain how the SAS congruence criteria follows from the definition of congruence in terms of rigid motions.
The triangles ΔRST and MNL are congruent by SAS postulates.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔRST and MNL, then we have
RS = MN
∠S = ∠N
ST = LN
The triangles ΔRST and MNL are congruent by SAS postulates.
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ART?
Answer
5.0/5
1
115005488
Answer: I gotta go right now
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⠀⠀⠀⠀⠀⠀⡟⠀⠀⠻⣦⣤⣶⠾⠋⠀⠀⠁⡦⢄⢀⠀⠀⠀
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⠀⠔⠊⠁⠀⠀⣇⠀⠀⠀⠑⡤⠤⢎⠁⠀⠀⡘⠀
Answer:
10/10 Art. I rate it amazing out of beautiful
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The scatter plot shows the relationship between backpack weight and student weight. Which statement describes the data shown in the scatter plot?
A) A potential outlier at (12, 50).
B) A potential outlier at (50, 12).
C) A cluster between a student weight of 40 kg to 70 kg.
D) A cluster between a backpack weight of 4 kg to 12 k
Answer:
the answer is B on USA Prep
Step-by-step explanation:
"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.
What is the line of best fit?A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Given:
The scatter plot shows the relationship between backpack weight and student weight.
From the given choices:
An outlier is a value that nowhere near the range of the data set.
From the scatter plot:
A potential outlier at (50, 12).
Therefore, a potential outlier at (50, 12).
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Can someone please
Help with these ?
Answer:
5. The answer is x>6
6. The answer is x<-2
Step-by-step explanation:
Number 5 and 6 have a line under the inequality. I couldn't put it because i dont know how on a keyboard. Its been a while since i done these so sorry if its wrong.
What is the equation for the line of reflection that maps the
trapezoid onto itself?
A = 0
B x= 3
C y = 3
D y= 0
Answer:
x=3
Step-by-step explanation:
just took the test
what is the reciprocal of 2 1/2
Answer:
2/5
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
What is 20 x 20 x 30 - 90 + 90 -187?
Answer:
11,813
Step-by-step explanation:
PEMDAS
(20x20x30) - 90 + 90 -187 = 12,000
12,000 - 90 + 90 = 12,000
+ 90 and - 90 cancel each other out.
12,000 - 187 = 11,813
Hope this helps!
Answer:
The answer would be 11,813
Step-by-step explanation:
20*20*30=12000
12000-90= 11,910
11,910+90= 12000
12000-187=11,813
I hoped this helps :)
which number describes the average amount of error in the regression line's predicted rotten tomato ratings?
The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).
The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.
By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.
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y = }(x+6) - 5
m=
ba
b=
HELP HELP HELP HELP MEEE
find angle DEY
find angle DEF
will give brainliest
Answer:
Strictly speaking, there is not enough information to solve the problem.
If we assume m<EFY = 90, then:
m<DEY = 29
m<DEF = 58
Step-by-step explanation:
Going by the exact information shown, the answer is really that there isn't enough information to answer the question.
On the other hand, if angle EFY is a right angle, then we have two right triangles that can be proved congruent by HL. Then by CPCTC, angles DEY and FEY are congruent. We set their measures equal and solve for y.
4y - 7 = 2y + 11
2y = 18
y = 9
m<DEY = 4y - 7 = 4(9) - 7 = 36 - 7 = 29
m<DEF = 2m<DEY = 2(29) = 58
Natalie's fifth grade classroom is 900 square feet. The length is 30 feet. What is the width of her classroom?
Answer:
30
Step-by-step explanation:
30*30 is 900
Answer:
30
Step-by-step explanation:
let x =width
900=(×)(30)
900=30×
900/30=30×/30
30=×
= 30 width
The ellipse x^2/2^2 + y^2/4^2 = 1
can be drawn with parametric equations. Assume the curve is traced clockwise as the parameter increases. If x = 2 cos(t) then y = __
The parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)
To find the corresponding y-value for a given x-value on the ellipse, we can rearrange the equation:
x^2/2^2 + y^2/4^2 = 1
y^2/4^2 = 1 - x^2/2^2
y^2 = 4^2(1 - x^2/2^2)
y = ±2sqrt(1 - x^2/2^2)
Since the curve is traced clockwise as the parameter t increases, we can set x = 2cos(t) and y = -2sqrt(1 - x^2/2^2) to trace the lower half of the ellipse:
x = 2cos(t)
y = -2sqrt(1 - (2cos(t))^2/2^2)
y = -2sqrt(1 - cos^2(t))
Using the identity sin^2(t) + cos^2(t) = 1, we can solve for sin(t):
sin^2(t) = 1 - cos^2(t)
sin(t) = ±sqrt(1 - cos^2(t))
Since we want the negative value to trace the lower half of the ellipse, we have:
y = -2sin(t)
Therefore, the parametric equations for the ellipse x^2/2^2 + y^2/4^2 = 1, traced clockwise as the parameter increases, are:
x = 2cos(t)
y = -2sin(t)
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Provide detailed answers including graphs for the following questions.
You invest $100,000 on January 1st in a lottery. The lottery provides you a 2% chance of winning $1 million on December 31st in each of the next 10 years. Are there any conditions under which would you make this investment?
A monopolist’s cost structure is such that its total costs are TC = 300 + 200Q + 3Q^2. The market demand is Q = 500 - P. What is the profit-maximizing price and quantity? Show this mathematically and graphically. What are the producer and consumer surpluses and firm profit?
The profit-maximizing price and quantity for the monopolist are $350 and 150 units, respectively ,The expected return is greater than the initial investment And the producer surplus is $33,750, consumer surplus is $31,875, and firm profit is $37,500.
Ignoring the time value of money and discounting, the expected value of the lottery winnings each year is 2% × $1 million = $20,000, and this goes on for 10 years.
Thus, the expected value of the investment is 10 × $20,000 = $200,000.
Hence, the expected return is greater than the initial investment, and there is a condition under which the investment can be made.
The monopolist’s total cost can be represented as:
TC = 300 + 200Q + 3Q².
The demand function for the monopolist is given as:
Q = 500 - P,
which can be rearranged to derive the price function as:
P = 500 - Q.
From the total cost function, we can obtain the marginal cost (MC) as the derivative of TC with respect to Q, and it can be represented as follows:
MC = dTC/dQ = 200 + 6Q.
From the marginal cost, we can set the marginal revenue (MR) equal to MC to get the profit-maximising quantity as follows:
MR = dTR/dQ = P + Q(500 - P) = 500 - Q + 500Q - Q² = 1000Q - Q² - 500 = MC = 200 + 6Q.
Substituting P = 500 - Q in the above expression and rearranging yields the following:
Q = 150, and hence, P = $350.
Therefore, the profit-maximising price is $350, and the quantity is 150. We can verify that the solution is a maximum by computing the second-order condition, which is negative.
To calculate the producer surplus, we first need to obtain the area above the marginal cost and below the price.
Thus, we have:
PS = ∫ MC to QdQ
= ∫ (200 + 6Q) dQ from 0 to 150
= [200Q + 3Q²] from 0 to 150
= $33,750.
Similarly, the consumer surplus can be computed as the difference between the market value of the product and what the consumers paid for it. The area below the price line and above the demand curve yields the consumer surplus.
Thus, we have:
CS = ∫ P to QdQ
= ∫ (500 - Q) dQ from 0 to 150
= [(500 × Q) - (Q²/2)] from 0 to 150
= $31,875.
Finally, the firm profit can be obtained by multiplying the profit-maximizing quantity by the profit-maximizing price and subtracting the total cost.
Thus, we have:
Profit = TR - TC = Q × P - TC = (150 × $350) - (300 + 200 × 150 + 3 × 150²) = $37,500.
Hence, the producer surplus, consumer surplus, and firm profit are $33,750, $31,875, and $37,500, respectively.
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Rufus collected 125 pounds of aluminium cans to recycle. He plans to collect an additional 50 pounds each week.
1. Write an equation for the total pounds, P, of aluminium cans after w weeks.
2. Graph this relationship (Please graph this realtionship on the picture below)
3. What does the slope and y-intercept represent?
Answer:
1. P = 125 + 50w
2. I can't make a graph on your image, (since there are no increments) but the image attached is an image of a graph on desmos.
3. The y intercept represents the original 125 pounds of aluminum cans he starts with, and the slope represents the aluminum cans he collects.
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
7(2p+2q)
14p+14q
Step-by-step explanation:
7(2p+2q)
7×2p 7×2q
14p+14q
Two right ide if a right triangle meaure 2 unit and 4 unit. What i the area of the quare that hare a ide with the third ide of the triangle?
The area of the third side of the triangle is either 20 square unit or 12 square units.
Triangle:
in math, triangle refers a simple closed curve made of three line segments and it has three vertices, three sides and three angles.
Given,
Two sides of a right triangle measure 2 units and 4 units.
And we need to find the area of the square that shares a side with the third side of the triangle
Let us consider is Two sides of a right triangle measure 2 units and 4 units.
Here if sides are perpendicular sides, then by using Pythagorean theorem
=> third side² = 2² + 4²
When we simplify this one, then we get,
=> third side² = 4 + 16
So, the third side² = 20
Then the area of the square that shares a side with the third side of the triangle = third side² = 20 sq units
Similarly, if 4 units is hypotenuse side, then by using Pythagorean theorem, the third side is calculated as,
=> third side² = 4² - 2²
And when we simplify this one, then we get,
=> third side² = 16 - 4
Therefore, the third side² = 12
And the area of the square that shares a side with the third side of the triangle = third side² = 12 sq units
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A triangle has side lengths 8 cm, 15 cm, and 16 cm. Is it a right triangle? Explain.
Step-by-step explanation:
no because a triangle has 3 side
[x^2+2y]^3
expand it
\((a + b) {}^{3} = a {}^{3} + 3a {}^{2} b + 3ab {}^{2} + b {}^{3} \\ \\ x {}^{6} + 6x {}^{4} y + 12x {}^{2} y {}^{2} + 8y {}^{3} \)
Answer:
x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.
Step-by-step explanation:
Using the Binomial Theorem:
(x^2 + 2y)^3 = (x^2)^3 + 3C1 (x^2)^2 (2y) + 3C2 x^2 (2y)^2 + (2y)^3
= x^6 + 3*x^4*2y + 3*x^2*4y^2 + 8y^3
= x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.
Find the missing angle...
Answer:
15 degrees
Step-by-step explanation:
Because you add 115 and 50 to get 165. And we know that a triangles angles when added up will equal 180. So you subtract 180 and 165 to get 15 degrees, your missing angle!
Hope this helps!
If the product of two rational numbers is (-9/16) and one of them is (-4/15) find the other number.
Given:
The product of two numbers is (-9/16).One of the numbers is (-4/15)To find: The other number.
Answer:
Let's assume the unknown number to be 'x'.
(-4/15) × x = (-9/16)
× = (-9/16) ÷ (-4/15)
When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.
x = (-9/16) × (-15/4)
x = 135/64
Therefore, the other number is 135/64.
Hope it helps. :)