Answers
Answer:
b = 76°
Step-by-step explanation:
Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...
60° +(b-46)° = 90°
14° +b = 90° . . . . . . . simplify
b = 76° . . . . . . . subtract 14°
Related Questions
hw to solve 6x-12/3+4=18/x
Answers
The two solutions of the equation:
(6x - 12)/3 + 4 = 18/x
Are x = 3 and x = -3
How to solve the equation?Here we have the following equation:
(6x - 12)/3 + 4 = 18/x
Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.
Now, let's start by simplifying the left side:
(6x - 12)/3+ 4 = 18/x
2x - 4 + 4 = 18/x
2x = 18/x
Now we can multiply both sides by x so we get:
2x^2 = 18
Now divide both sides by 2:
x^2 = 18/2
x^2 = 9
Finally, apply the square root in both sides:
√x^2 = ±√9
x = ±3
The two solutions are x = 3 and x = -3
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What is the answer to this combination lock
Answers
Answer: 375
Step-by-step explanation:
Ruling out each number:
6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.
3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.
2 & 4 & 8: Is proven wrong in the 4th clue.
7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.
1: Is proven wrong after 7 is proven true.
Figuring out placement:
5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.
3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.
7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.
Need help ASAP
Will mark you brainlist
Answers
5/6 is the slope and 4 is the y-intercept
what is 12 = -5x + 2
Answers
Answer:
Hi there!
Your answer is;
-2= x
Step-by-step explanation:
12= -5x +2
-2
10= -5x
/-5
-2 = x
Hope this helps
Answer: x = -2 give me brainliest
Step-by-step explanation:
Find the area bounded by the given curves:
y=2x−x2,y=2x−4
Answers
Answer:
\(A = [\frac{32}{3}]\)
Step-by-step explanation:
Given
\(y_1 = 2x - x^2\)
\(y_2 = 2x - 4\)
Required
Determine the area bounded by the curves
First, we need to determine their points of intersection
\(2x - x^2 = 2x - 4\)
Subtract 2x from both sides
\(-x^2 = -4\)
Multiply through by -1
\(x^2 = 4\)
Take square root of both sides
\(x = 2\) or \(x = -2\)
This Area is then calculated as thus
\(A = \int\limits^a_b {[y_1 - y_2]} \, dx\)
Where a = 2 and b = -2
Substitute values for \(y_1\) and \(y_2\)
\(A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx\)
Open Brackets
\(A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx\)
Collect Like Terms
\(A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx\)
\(A = \int\limits^a_b {- x^2 + 4} \, dx\)
Integrate
\(A = [-\frac{x^{3}}{3} +4x](2,-2)\)
\(A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]\)
\(A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]\)
\(A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]\)
\(A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]\)
\(A = [\frac{16}{3}] - [\frac{-16}{3}]\)
\(A = [\frac{16}{3}] + [\frac{16}{3}]\)
\(A = [\frac{16 + 16}{3}]\)
\(A = [\frac{32}{3}]\)
Hence, the Area is:
\(A = [\frac{32}{3}]\)
What is the conclusion that we can make from this graph?
Do we have enough information to predict what the next years snowfall in Bristol will be?
Which type of graph would be the best way to visually represent the information in this table? Line graph,bar graph, or circle graph?
GRAPH SHOWN BELOW
Thank you so much!
Answers
1. a. Give one exemplary instance each for the use of the following kinds of Numbers.
i. Cardinal
ii. Ordinal
iii. Nominal
5. Write the following Hindu-Arabic Numerals in Roman Numerals.
i. 1997
ii. 15-03-2023
2. Solve the following;
a. 2√128-√243 +5√125 + √27-√80-162 +√98
b. Write 1.3555555555.... as
7º
c. Three villages A, B & C organizes funeral every 10days, 15days and 20days respec
three villages had a funeral on 4th March, 2023, determine the date of the next weeke
have another funeral together.
Selu
Answers
Answer: I'd be happy to help you with these problems!
1a.
i. Cardinal: There were 10 apples in the basket.
ii. Ordinal: He came in first place in the race.
iii. Nominal: My favorite color is blue.
i. 1997 in Roman numerals is MCMXCVII.
ii. 15-03-2023 in Roman numerals is XV-III-MMXXIII.
2a.
2√128 - √243 + 5√125 + √27 - √80 - 162 + √98
First, simplify the square roots:
2√64·2 - 3√81·3 + 5√25·5 + √9·3 - √16·5 - 162 + √49·2
Next, simplify further:
2·8√2 - 3·3√3 + 5·5√5 + 3√3 - 4√5 - 162 + 7√2
Combine like terms:
15√2 - √3 + 8√5 - 162 - 4√5 + 7√2
Simplify further:
22√2 + 4√5 - √3 - 162
b.
1.3555555555.... can be written as 1.36 in 7º.
c.
Village A has a funeral every 10 days, so it will have a funeral on March 4th, March 14th, March 24th, etc.
Village B has a funeral every 15 days, so it will have a funeral on March 4th, March 19th, April 3rd, etc.
Village C has a funeral every 20 days, so it will have a funeral on March 4th, March 24th, April 13th, etc.
To determine the next time all three villages will have a funeral on the same day, find the least common multiple of 10, 15, and 20.
10 = 2 x 5
15 = 3 x 5
20 = 2 x 2 x 5
The least common multiple is 2 x 2 x 3 x 5 = 60.
So, the next time all three villages will have a funeral on the same day is 60 days after March 4th, which is May 3rd, 2023.
Comment if you have any more questions.
the question is in the attachment
Answers
Answer:
C 3x18
Step-by-step explanation:
3 is a prime number
What polygon is formed by
joining the points
(1, −1), (4, −1), (−1, −3),
and (7, −3)?
Answers
Answer:
the polygon is a trapezoid
Step-by-step explanation:
(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line
(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line
All horizontal lines are parallel.
The shape is a trapezoid because it has one pair of parallel lines.
what is (2/3) squared equal
Answers
Answer:
[2/3]^2=[2/3]*[2/3]=[2*2]/[3*3]= 4/9
Answer:
(2/3)^2 equals 4/9
Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?
Answers
Answer:
B
Step-by-step explanation:
When you flip over the y-axis you the x is multiplied by -1
The Jacksons sublet their summer cottage during the winter and spring months. For each month they receive 72% of their monthly mortgage of $1,750. How much did The Jacksons earned in 6-months?
Answers
Answer:
7,560
Step-by-step explanation:
70% of 1750 × 6 = 7,560
Jada thinks the perimeter of this rectangle can be represented with the expression a+a+b+b Andre thinks it can be represented with 2a+2b Do you agree with either of them? Explain your reasoning
Answers
Answer:
yes agreed
Step-by-step explanation:
a+a=2a
b+b=2b
=2a+2b
How do I solve? What do I do?
Answers
A science teacher is planning a field trip to either the aquarium or science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Write a system of two equations where each equation models the total cost y to take x students on each field trip enter one equation per answer box
Answers
\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)
Let the no. of students be x
total cost = y
Then the first equation will be
8x + 20 = y
And the second equation will be
3x + 40 = y
A system of two equations where each equation models the total cost y to take x students on each field trip is;
8x + 20 = y
3x + 40 = y
The total cost y is 48 to take x = 4 students on each field trip.
What is the system of equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.
A science teacher is planning a field trip to either the aquarium or the science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Let the total cost y to take x students on each field trip.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
8x + 20 = y
The science center charges $3 per student and has a class lab fee of $40.
3x + 40 = y
On solving both the equation
Substitute the value of y in the equation 2
3x + 40 = y
3x + 40 = 8x+20
8x - 3x = 40-20
5x = 20
x = 20/5
x = 4
Substitute the value of x in the equation 1
3x + 40 = y
2(4) + 40 =y
8 + 40 = y
y = 48
Hence, the total cost y is 48 to take x = 4 students on each field trip.
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A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.4. The smallest sample size n that provides the desired accuracy is
Answers
Answer:
The sample size will be "\(102.5494 \sim 102\)". A further explanation is given below.
Step-by-step explanation:
Let the sample size will be:
= n
The given values are:
Standard deviation,
= 1.4
ME,
= 0.3
As we know,
⇒ \(n=(Z \frac{a}{2}\times \frac{SD}{E})^2\)
On putting the estimated values, we get
⇒ \(=(2.17\times \frac{1.4}{0 .3})^2\)
⇒ \(=(\frac{3.038}{0.3})^2\)
⇒ \(=102.5494 \sim 102\)
You use beads to make design. Of the beads, 1/3 are red and 1/6 are blue. The rest are white. What fraction of the beads are red red or blue?
Answers
Answer:
One Half
Step-by-step explanation:
1/3 = 2/6
2/6 + 1/6 = 3/6 = 1/2
Match the type of insurance to the coverage it provides.
1. Insurance that covers the insured only for a specific, stated term, such as ten years
endowment
2. Insurance that covers the insured for life, and for which premiums are paid by the insured until his death
ordinary whole life
3. Insurance that covers the insured for life, for which he only has to pay a certain number of years
limited-payment life
4. Insurance that provides both insurance and savings
term
Answers
The answers include the following:
Insurance that covers the insured only for a specific, stated term, such as ten years endowment - Term life insurance Insurance that covers the insured for life, and for which premiums are paid by the insured until his death ordinary whole life - Whole life insurance.Insurance that covers the insured for life, for which he only has to pay a certain number of years - Limited-payment life insurance.Insurance that provides both insurance and savings term- Universal life insurance.What is Insurance?
This is a form of risk management which protects individuals from any form of loss or damage.
Life insurance has different types which are appropriately mentioned and matched above.
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Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answers
Answer:
A
Step-by-step explanation:
x = 18
The cost of 5 scarves is $51.25. What is the unit price?
Answers
Answer:
10.25
Step-by-step explanation:
Answer:
$10.25 because $51.25 divided by 5 equals $10.25 which is the unit price of each scarves.
Step-by-step explanation:
determine if w = -2 is a solution for the inequality
3w ≤ -12
Answers
======================================================
Explanation:
Plug in w = -2 and simplify.
3w ≤ -12
3(-2) ≤ -12
-6 ≤ -12
The last inequality is false because -6 is neither equal to -12, nor is -6 smaller than -12. Use a vertical number line to see that -6 is above -12, so it should be -12 ≤ -6.
Since -6 ≤ -12 is false, that makes 3w ≤ -12 false when w = -2.
Therefore, w = -2 is not a solution to the given inequality.
need answer please !!!!!
Answers
Answer: -9
Step-by-step explanation:
f(x)=-5x-4
f(1)=-5(1)-4
=-5-4
f(1) =-9
7. Un electrón es proyectado horizontalmente con una aceleración, entra en un campo
eléctrico que ejerce sobre él una fuerza vertical constante de 4.5X10-16N. La masa del
electrón es 9.11X10-31Kg. Determine la aceleración vertical a la cual se desvía el
electrón mientras se mueve hacia delante.
Answers
Answer:
\(a=4.93\times 10^{14}\ m/s^2\)
Step-by-step explanation:
In this question,
Force on the electron is \(4.5\times 10^{-16}\ N\)
Mass of the electron is \(9.11\times 10^{-31}\ kg\)
Net force, F = ma
So,
\(a=\dfrac{F}{m}\\\\4.5\times 10^{-16}\ N=9.11\times 10^{-31}\ kg\times a\\\\a=\dfrac{4.5\times 10^{-16}}{9.11\times 10^{-31}}\\\\a=4.93\times 10^{14}\ m/s^2\)
So, the acceleration of the electron is \(4.93\times 10^{14}\ m/s^2\).
Rectangle F'G'H'I' is a translation of rectangle FGHI. Write the translation rule.
Answers
If f(x) = x^2 +1, and g(x) = x - 2, find [fºg)(x).
PLEASE HELP
Answers
Answer:
A.
Step-by-step explanation:
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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7. Suppose that the discriminating monopolist has the demand functions
P_{1} = 200 - 2Q_{1}; P_{2} = 180 - 4Q_{2} and that the cost function is C = 20(Q_{1} + Q_{2}) .
a) How much should be sold in the 2 markets to maximise profits?
b) What are the corresponding prices?
c) How much profit is lost if it becomes illegal to discriminate?
12 marks]
12 marks]
16 marks]
d) Discuss the consequences of the imposition of a tax of 5 per unit sold in market 1 by
Answers
a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.
b) The corresponding prices are $180 in market 1 and $160 in market 2.
c) If it becomes illegal to discriminate, the profit loss is $50.
d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.
a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.
In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.
For market 1:
MR₁ = dP₁/dQ₁ = -2
For market 2:
MR₂ = dP₂/dQ₂ = -4
Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:
MR₁ = -2 = dC/dQ₁ = 20
MR₂ = -4 = dC/dQ₂ = 20
Solving these equations, we find:
Q₁ = 10
Q₂ = 5
Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.
b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:
For market 1:
P₁ = 200 - 2Q₁ = 200 - 2(10) = 180
For market 2:
P₂ = 180 - 4Q₂ = 180 - 4(5) = 160
Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.
c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.
Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.
Under discrimination:
Profit = Total revenue - Total cost
For market 1:
Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1
For market 2:
Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800
Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600
Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300
Profit = Total revenue - Total cost = $2600 - $300 = $2300
Under non-discrimination:
Since the same price is charged in both markets, we take the average price:
Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170
Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550
Total cost remains the same at $300.
Profit = Total revenue - Total cost = $2550 - $300 = $2250
Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.
d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.
This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.
The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.
The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.
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write 0.22 as a fraction
Answers
Answer:
22/100 which can be simplified into 11/50
Answer:
\( \frac{11}{50} \)
Step-by-step explanation:
\(0.22 = \frac{22}{100} \)
\( \frac{22 \div 2}{100 ÷ 2} \)
\(\boxed{\green{ = \frac{11}{50} }}\)
Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
Answers
Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2x^2 - y^2 and 2xy.
Answers
By pythagorean theorem,
\(h^2=(2x^2-y^2)^2+(2xy)^2\)
First simplify RHS,
\(h^2=4x^4-4x^2y^2+y^4+4x^2y^2\)
\(h^2=4x^4+y^4\)
Take square root of both sides,
\(h=\sqrt{4x^4+y^4}\)
So the answer is A.
Hope this helps :)
Answer:
A.
Step-by-step explanation:
correct on EDGE2021