1. The plane travelled a distance of 471.239 ft
2. The plane would travel further by 6283.185 ft
What is circumference?
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.
If you move along a full circle of a radius 'r', the distance covered by you is equal to [tex]2\pi r[/tex]
Part 1:
Given that, Jack's aeroplane travels in a circle of a cord of length 15ft for 5 times
The total distance travelled by plane is [tex]15*2\pi *15[/tex]
[tex]=150\pi[/tex]
= 471.239 ft
Part 2:
Given that, Jack flew his aeroplane 100 times with a cord of 50 ft.
The total distance covered by the plane is 100 * (2*50*[tex]\pi[/tex])
If he increases the length by 10 ft, The cord will now be 60 ft.
The total distance it would cover then is 100 * (2*60*[tex]\pi[/tex])
Now,
100 * (2*60*[tex]\pi[/tex]) - 100 * (2*50*[tex]\pi[/tex])
= 100 * (2*(60-50))*[tex]\pi[/tex])
= 100 * 2 * 10 * [tex]\pi[/tex]
= 2000 * [tex]\pi[/tex]
= 6283.185 ft
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The Leswaygo Times is a newspaper in the imaginary country Leswaygo. You read in one of its online articles that the people are unhappy with their new king. He is making changes to make Leswaygo more modern. He believes this will benefit the country, but the people do not agree. They are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to
communism
democracy
autocracy
socialism
Since they are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to: B. democracy.
What is democracy?In Government, democracy can be defined as a type of government that is established by the people and generally for the people. This ultimately implies that, a democracy refers to a type of government that accords all the power to the people.
This simply means that, that the form of power that is exercised through the people is generally referred to as democracy. Additionally, all the people living in a country that practice democracy are expected to elect legislators at large and have a voice in any major decisions through voting.
In this context, we can infer and logically deduce that Leswaygo form of government would be changed to democracy.
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Answer:
I took the quiz it was B democracy
Step-by-step explanation:
It was democracy because that is the strongest form of government
Solve.
√4x-3 /9-2x =0
Choose all answers that apply:
A. 1
B. 2
C. 3
D. 6
E. The equation has no solutions
The value of the expression √4x-3 /9-2x =0 will be B. 2.
How to calculate the valueRearrange the radical on the left side of the equation:
√4x-3=√9-2x
Power on both sides: (√4x − 3)²=(√9 – 2x)² -
Simplify the radical expression: 4x-3=9-2x Rearrange unknown terms to the left side of the
equation: 4x+2x=9+3
Combine like terms: 6x=9+3
Calculate the sum or difference: 6x=12
Divide both sides of the equation by the coefficient
of variable: x=12÷6
Calculate the product or quotient: x=2
Substitute into one of the equations: √4 x 2 3-√9-2 × 2=0
Calculate the product or quotient: √8
9-2×2
Calculate the product or quotient: √8 3 - √9 4
Calculate the sum or difference: √5-√9
Calculate the sum or difference: √5-√5
Calculate the sum or difference: 0=0
Combine the results: x=2
x=2
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Tamon worked 40 hours this week. Assuming he makes $9 an hour, what is his gross pay?
How much was withheld from his check if his total withholding taxes are 20%? What is
his net pay?
Answer:
there will be 1 min added
brainliest answr quick tho
Answer:
BL
Step-by-step explanation:
because it goes in both directions infintely
Hi there, here's your answer:
To find the answer to this question, let us review all the options given in the question.
a) BL
BL being two ends of a given line that extends infinitely along its axis, forms a line.
b) GK
GK being two distinct lines do not join and hence do not form an independent line.
c) EB
E being a point on the line BL and B being one end of a larger line form a ray.
d) HI
HI being two points on a line GJ form a line segment, which is finite and has definite end points.
Thus, the answer to this question is (a).
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HELP PLEASE!! SOLVE 2x=32 IS 2 DIFFERENT WAYS
i know the one way is
2x/2 = 32/2
x= 16
WHAT IS THE OTHER WAY???!!
Answer: 4x = 64 or -32/-2
Step-by-step explanation:
you could multiply both sides by 2.
4x = 64
4x/4 = 64/4
x = 16
OR
-2x or -32 to both sides
-32 = -2x
divide both sides by -2
x = -32/-2
x = 16
hope this helps
The tool crib is 144 inches. How many 12 inches pieces can you cut from it
Answer:
Step-by-step explanation:
12
144 divided by 12 is 12
*Image*
Find the value of x.
The value of the exterior angle x of the quadrilateral is equal to
How to evaluate for the exterior angle xThe sum of the exterior angles of any convex quadrilateral is 360 degrees so we have that:
65 + 106 + 78 + x = 360
simply the left hand side of the equation
249 + x = 360
subtract 249 from both sides of the equation
249 - 249 + x = 360 - 249
x = 111°
In conclusion, since the sum of the exterior angles of a quadrilateral is s 360°, we have got the measure of one the the exterior angle x to be equal to 111°
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Find the second and fifth term of 3n(squared)-1
Please help me with the question pleaseeee
Answer:
∠1 and ∠3
Step-by-step explanation:
The other pair of vertical angles are ∠2 and ∠4
A boat has a top speed of 26 knots and a displacement of approximately 81000 tons. (1 knot= 1 nautical mile per hour; 1 metric ton =1000 kilograms)
Express the top speed in miles per hour and the displacement in metric tonnes.
(1 knot=1 nautical mile per hour; 1 metric tonne=1000 kilograms)
On solving the provided question we can say that 2 decimal places =29.92 miles per hour
what is decimal?Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the
top speed is 26 knots,
1 knot = 1.15078 miles per hour
26 knots = 26 * 1.15078
= 29.92028 miles per hour
2 decimal places
=29.92 miles per hour
boat has a displacement of 96000 tons
1 ton = 0.907185 metric tonnes
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
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subtract 1/2h - 1 from 3/4h + 4
Answer:
= -1+12h.
Step-by-step explanation:
I guess my answer is correct
Which of the following is something you would not expect to see on a basic loan application?
On solving the provided question, we can say that expression is - doctor’s name and address, EDG 2020
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
expression is -
doctor’s name and address
EDG 2020
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The correct question is -
Which of the following is something you would not expect to see on a basic loan application?
a. employer's name and address
b. doctor's name and address
C. annual or monthly income
d. current monthly rent or mortgage payment
Please select the best answer from the choices provided
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire.
A) Write the equation of the line that represents your annual costs based on how many tires you make. Be sure to label you variables.
B) How many tires do you need to sell to break even if you sell them for $89 per tire.
In economics, business, and notably cost accounting, the break-even point (BEP) is the point at which total costs and total revenues are equal, or "even" and we need to sell a total of 1967 tires at the price of $89 to break even.
What is break even?
The break-even point (BEP) is the point at which total costs and total revenues are equal, or "even," in economics, business, and particularly cost accounting.
Although opportunity costs have been paid and capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
In other words, all necessary expenses are covered, and neither a profit nor a loss is realized.
So, for the break-even:
= 175000/89
= 1,966.29
Rounding off: 1967
Therefore, we need to sell a total of 1967 tires at the price of $89 to break even.
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Correct question:
Your factory makes tires. It costs you $175,000 to pay for the lease each year. The cost to make a tire includes labor and materials, but comes to $53 per tire. How many times do you need to sell to break even if you sell them for $89 per tire?
Tony saved enough money to afford a car. He needs to determine if he can afford the car insurance. Tony earns $160 per week. Tony’s yearly pay is $8,320 and his monthly pay is $693.
Tony's monthly car insurance will be 1/30 of his rounded yearly pay. Can he afford it? Explain why or why not.
Tony can afford the car insurance, and he has enough money( $426.33 ) left over each month to cover other expenses.
To determine if Tony can afford the car insurance
We need to calculate the cost of the insurance and compare it to his monthly pay.
According to the information given,
Tony's yearly pay is $8,320
and his monthly pay is $693.
If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.
Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.
Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.
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F(-10)=64 and f(15)=54
What is the slope
Equation and x intercept
The equation of the straight line is 2x+5y=340.
The x-intercept point of that line is (170,0).
What is the equation of a straight line?A straight line has different forms like point-slope form, standard form, slope-intercept form, and others. A specific form is used according to the given data for convenience.
here, we have,
As f(-10)=64 and f(15)=54, two points can be wriiten as (x₁,y₁)=(-10,64) and (x₂,y₂)=(15,54).
Now, use the two-point form of the equation of a line.
(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)
(y-64)/(x-(-10))=(54-64)/(15-(-10))
(y-64)/(x-10)=-10/25
25(y-64)=-10(x-10)
5(y-64)=-2(x-10)
5y-320=-2x+20
2x+5y=340
Therefore, the required equation of the line is 2x+5y=340.
To find the x-intercept, substitute y=0 into the equation of the line.
2x+5×0=340
2x=340
x=170
Therefore, the x-intercept point is (170,0).
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If 3250 was increased by 46%
Answer:
4745
Step-by-step explanation:
Answer: 4745
Step-by-step explanation:
3250 = 100%
Percent Increase = +46%
46% of 3250 = 1495
3250 (100%) + 1495 (46%) = 4745
What is true about CJ's plan to construct a square inscribed in a circle?
CJ's plan to construct a square inscribed in a circle is through 7 steps.
step 1:
First, draw a circle using a compass (any size).
Step 2:
Using a ruler, draw a diameter or straight line along the length of the circle and pass through its center.
Step 3:
Then open the compass through the circle. Then bring the compass tip to one end of the diameter and swing the compass over the circle to draw an arc.
Step 4:
Keeping the compass the same length, move it to the other side of the diameter, swing it over the circle again, and create another arc until the two arcs intersect. Step 5:
Repeat steps 3 and 4, this time using the same compass size to create an arc under the circle.
Step 6:
Connect the top and bottom intersections of the circle with a ruler or ruler. This creates a perpendicular bisector that bisects the diameter and forms a 90 degree angle.
Step 7:
Finally, use a ruler to connect each corner point to create a square.
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New home sales declined 0.3% in October, according to a government report released Wednesday. Despite the monthly drop, sales were still up 17% from a year earlier. New houses sold at an annual rate of 368,000 in the month, down from 369,000 in September, according to a report from the U.S. Census Bureau and the Department of Housing and Urban Development. http://money.cnn.com/2012/11/28/real_estate/new-home-sales/index.html
Find the percentage decrease from 369,000 to 368,000. Your answer should be in PERCENT FORM rounded to TWO DECIMAL PLACES. Don't forget to include the percent symbol.
The percentage decrease for the sale of the house is 0.27%.
What are the nearest two places?
The second place to the right of the decimal point, or the hundredth place, is used to round a decimal number to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.
Given that the initial cost of a home is 369,000.
The cost of a house decreases from 369,000 to 368,000.
The formula of percentage change is
(Final value - initial value)/ initial value × 100
= [(368,000 - 369,000)/369,000] × 100
= (-1000)/369,000 × 100
= 0.27
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How to I arrive at this number using a common factor?
The common factor is 6[tex]e^{6x}[/tex] (2x - 5)⁸.
What is a common factor?
These are the "common factors" when we determine the factors of two or more numbers and discover some of those factors are the same (or "common").
Given that
d/dx[[tex]e^{6x}[/tex](2x - 5)⁹]
The formula of the product rule is d/dx(uv) = uv' + vu'.
=(2x - 5)⁹d/dx([tex]e^{6x}[/tex]) + [tex]e^{6x}[/tex]d/dx(2x - 5)⁹
Now applying the formula d/dx(x^n) = nx^(n-1), d/dx e^(mx) = m e^(mx)
=(2x - 5)⁹ 6[tex]e^{6x}[/tex] + [tex]e^{6x}[/tex]×2×9 × (2x - 5)⁸
= 6[tex]e^{6x}[/tex] (2x - 5)⁹ + 18[tex]e^{6x}[/tex](2x - 5)⁸
Now taking common 6[tex]e^{6x}[/tex] (2x - 5)⁸
= 6[tex]e^{6x}[/tex] (2x - 5)⁸ [(2x - 5) + 3]
= 6[tex]e^{6x}[/tex] (2x - 5)⁸ [2x - 5 + 3]
= 6[tex]e^{6x}[/tex] (2x - 5)⁸(2x - 2)
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Find the Value of X
A. 4
B. 8
C. 22
D. 14
Answer:B
Step-by-step explanation:
5x+15=55
5x=40
x=8
nine less than the product of 8 and a number is 5
Answer:
1.75
Step-by-step explanation:
1. Algebraic equation: 8x - 9 = 5
2. Add 9 on both sides; 8x=14
3. Divide both sides by 8
4. x=1.75
Answer:
Number = 1/2
Step-by-step explanation:
9 - 8a = 5
9 - 5 = 8a
4 = 8a
4/8 = a
a = 1/2
Check:
9 - 8*1/2 = 5
9 - 4 = 5
Calculate the area of the shape below. For this problem, use 3.14 for pi 3- in
The area of the shape given which is a circle is; 38.465 in²
How to find the Area of the Circle?The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².
Area = πr²
The parameters are;
radius; r = 3¹/₂ inches = ⁷/₂ inches
Thus;
Area = π * (⁷/₂)²
Area = π * 49/4
Area = 3.14 * 49/4
Area = 38.465 in²
That's the area of the circle shape given.
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Solve for x using the quadratic formula:
1.2x2-x-1=0
2. x2 - 10x - 11 - 0
Determine the discriminant and explain what the result means
3. 4x2 - 5x + 10 = 0
4. x2 + 18x +81 = 0
5. 4x2 - 4x - 24 = 0
The solutions of the quadratic equation are;
1) x = 1 or -1/2
2) x = 11 or -1
What is the quadratic formula?We know that the quadratic formula is one of the ways that we can use to solve for the variables that we have in a quadratic equation. We can be able to obtain x by using the formula;
x = -b ±√b^2 - 4ac/2a
To use the discriminant;
√b^2 - 4ac
√(-5)^2 - (4 * 4 * 10)
√-135
The roots are imaginary
√18^2 - 4(1 * 81)
= 0
The roots are equal
√(-4)^2 - (4 * 4 * -24)
=20
The equation roots are real and different
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Please help with this equation
Answer:
Step-by-step explanation:
Adjacent angles is defined as
Opposite,congruent angles formed when two lines intersect.
Which of the following tables of x- and y-values represents a function?
The tables of x- and y-values that represents a function include the following: C. table C.
What is a function?In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range) representing a given scenario or situation such as the following:
x 1 3 7 5 2 4
y 6 6 6 6 6 6
In conclusion, we can reasonably infer and logically deduce that only table C represent a function.
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When an accountant records on hand, they are noting a company’s
A. human resources; total liquid assets
B. cash; total of amount dollars, money orders, checks, and other forms of
money
W
C. supplies; materials that need to be purchased soon
D. inventory; number of employees on payroll
Answer:
The correct answer is D. inventory; number of employees on payroll. An accountant records on hand to note a company's inventory, which is the stock of goods available for sale or use in the production process. The number of employees on payroll refers to the human resources aspect of a company, which is separate from the inventory.
2/3 of the students in Mrs. Gracie’s class are boys . If there are 27 students in the class, how many of them are girls?
Answer:
9
Step-by-step explanation:
divide 27 by 3
It equals 9
9 x 2 = 18 boys
27-18= 9 girls
A boat has a top speed of 26 knots and a displacement of approximately 81,000 tons. Express the top speed in miles per hour and the displacement in metric tons. The boat has a top speed of approximately______mile(s) per hour. (Round to the nearest tenth as needed.)
The boat has a top speed of approximately 29.7 miles per hour and a displacement of approximately 73,934 metric tons.
Answer:
[tex]29.9[/tex] miles per hour
[tex]73482[/tex] metric tons
Step-by-step explanation:
We are given:
top speed of 26 knots
displacement of 81,000 tons
It is asking us to convert knots to miles per hour.
It is asking us to convert tons to metric tons.
We can use conversion factors to complete the unit conversions.
1 knot (kt) = 1.15077945 miles per hour (mph)
1 ton = 0.907185 metric tons
Numerical Evaluation
Lets convert our top speed.
We can set up an equation like this
[tex]\frac{1}{1.15077945} =\frac{26}{x}[/tex]
Lets solve for [tex]x[/tex].
Cross multiply.
[tex]1x=26*1.15077945[/tex]
Evaluate [tex]26*1.15077945[/tex].
[tex]26*1.15077945 =29.9202657[/tex]
Round to the nearest tenth.
[tex]29.9[/tex] miles per hour
Lets convert our displacement.
We can set up an equation like this
[tex]\frac{1}{0.907185 } =\frac{81000}{x}[/tex]
Lets solve for [tex]x[/tex].
Cross multiply.
[tex]1x=81000*0.907185[/tex]
Evaluate [tex]81000*0.907185[/tex].
[tex]81000*0.907185=73481.985[/tex]
Round to the nearest tenth.
[tex]73482[/tex] metric tons
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Find the value of x
(to
the nearest ten th).
31°
x
9
The value of x from the given triangle is 17.5 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
We know that, sinθ= Opposite/Hypotenuse
Here, sin31°=9/x
0.515=9/x
x=9/0.515
x=17.5
Therefore, the value of x is 17.5 units.
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A number, k, truncated to 2 d.p. is 47.00
Write an inequality to show the lower and
upper bounds of k. help quickly please!!!!!
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The lower and upper bounds of h - k are 42.31 and 42.49 respectively.
Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.
The upper and lower bounds can be written using error intervals
The lowest value of h is 47.15
The greatest value of h is 47.24
The greatest value of k is 4.84
The lowest value of k is 4.75
Thus upper bound of h -k = 47.24 - 4.75 = 42.49
Thus lower bound of h -k = 47.15 - 4.84 = 42.31
Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively. dont forget mark me brainliest
