Answers
s = r*θ . . . . . . . where θ is in radians
For your arc, the length is
s = (15 ft)*(π/4) ≈ 11.78 ft
_____
45° can be converted to radians by multiplying by π/180°.
45° * (π/180°) = π*(45/180) = π/4 . . . . radians
Related Questions
Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and dawn's results?
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Convert y=2/3x-17 to standard form
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-2/3x - 2/3x Subtract x value from both sides
-----------------------------
y - 2/3x = -17
This figure is a step in which construction?
A. a line parallel to <-AB-> through point P.
B. a line perpendicular to <-AB-> through point P.
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C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC
C when joined to P creates a perpendicular line. This is very important. You use it a lot.
Option: B is the correct answer.
B. a line perpendicular to <-AB-> through point P.
Step-by-step explanation:We know that a line perpendicular to a given line is constructed as follows:
1) Draw a line segment AB
2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.
3) Draw a straight line that passes through the intersection of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.
Hence, the correct option is:
Option: B
A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect
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we know that
in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°
the answer is
the angles are
alfa=118.07°
beta=61.93°
In the sandwiches mode, select the "cheese" option and observe the equation given for the preparation of a cheese sandwich. in the equation, set the number of bread slices to "2" and the number of cheese slices to "1." you will see that the product formed by these three ingredients is one cheese sandwich. suppose you have 38 bread slices and 28 cheese slices. how many cheese sandwiches can you make?
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Final answer:
You can make 19 cheese sandwiches with 38 bread slices and 28 cheese slices.
Explanation:
In this scenario, you have 38 bread slices and 28 cheese slices. The equation for a cheese sandwich is 1 sandwich = 2 slices of bread + 1 slice of cheese. So, if you set the number of bread slices to '2' and the number of cheese slices to '1', you can calculate how many cheese sandwiches you can make.
First, divide the number of bread slices (38) by 2 to get the number of sandwiches that can be made with the bread: 38 / 2 = 19 sandwiches.
Next, divide the number of cheese slices (28) by 1 to get the number of sandwiches that can be made with the cheese: 28 / 1 = 28 sandwiches.
Since you can only make 19 sandwiches with the available bread, the limiting factor is the bread. Therefore, you can make 19 cheese sandwiches with the given amounts of bread and cheese.
Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of
BC,AM ⊥ MD , and the perimeter of ABCD is 34 in..
Someone answered this question but Ad is not 4 and AB is not 9. . Thank you
Answers
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1
MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2
I substitute 1 in 2
AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]
AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578
1.50AD²-68AD+578=0
using a graph tool to solve the quadratic equation
see the attached figure
AD1=11.33 in
AD2=34 in----------is not solution because (AB+AD=17)
Solution is AD=11.33 in
AB=17-11.33--------> 17-11.33-----> AB=5.67 in
the answer is
AD=11.33 in
AB=5.67 in
In your lab, a substances temperature has been observed to follow the function T(x)=(x-2)^3+8. The turning point of the graph is where the substance changes from a solid to a liquid. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.
Answers
T(x)=(x-2)^3+8
dy/dx=3(x-2)^2
equating the derivative to 0 we get
3(x-2)^2=0
(x-2)^2=0
x=2
Thus, turning point is at (2,0)
Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreasing. (-2,2) find the intervals on which f is concave up. (-inf,-2)u(2,inf) find the intervals on which f is concave down.
Answers
(a) f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].
(b) f is decreasing at [tex](-2,2)[/tex].
(c) f is concave up at [tex](2, \infty)[/tex]
(d) f is concave down at [tex](-\infty, 2)[/tex]
Explanations:
(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that
[tex]f'(x) = 15x^2 - 60 [/tex]
So,
[tex] f'(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \ 0} \text{ (1)}[/tex]
The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:
-->> x < -2
-->> -2 < x < 2
--->> x > 2
If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.
If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.
So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since
[tex]f'(x) \ \textgreater \ 0 \Leftrightarrow (x - 2)(x + 2) \ \textgreater \ 0[/tex]
Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].
(b) f is decreasing only when the derivative of f is negative. Since
[tex]f'(x) = 15x^2 - 60 [/tex]
Using the similar computation in (a),
[tex]f'(x) \ \textless \ \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \ 0} \text{ (2)}[/tex]
Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.
Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)
(c) f is concave up if and only if the second derivative of f is positive. Note that
[tex]f''(x) = 30x - 60[/tex]
Since,
[tex]f''(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow x - 2 \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textgreater \ 2} [/tex]
Therefore, f is concave up at [tex](2, \infty)[/tex].
(d) Note that f is concave down if and only if the second derivative of f is negative. Since,
[tex]f''(x) = 30x - 60[/tex]
Using the similar computation in (c),
[tex]f''(x) \ \textless \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textless \ 0 \\ \\ \Leftrightarrow x - 2 \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textless \ 2}[/tex]
Therefore, f is concave down at [tex](-\infty, 2)[/tex].
Sam can plant 261 cabbage plants in 1 row of his garden . How many rows in his garden must be used to plant 1044 plants
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A train arrives at the station with 150 passengers on board.2/5 of the passengers get off the train in Seattle,and then 35 passengers board the train.How many passengers are on the train when it leaves the station?
Answers
Good luck!!
30×2=60
60+35=95
so there are 95 passengers when the train leaves.
The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
Answers
A way to get density is mass/volume
A way to get mass is density times mass.
I know you didn't ask for the other equations, but I listed them to show how density, volume, and mass are related. To answer your question, to get volume you divide mass by density.
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].
To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.
Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.
To solve for [tex]V[/tex] , we can rearrange the equation:
[tex]d= m/V[/tex]
First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:
[tex]d*V=m[/tex]
Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:
[tex]V= m/d[/tex]
So, the equivalent equation solved for [tex]V[/tex] is:
[tex]V= m/d[/tex]
This corresponds to option C: [tex]m/d=V.[/tex]
COMPLETE QUESTION:
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?
A. [tex]dm=V[/tex]
B. [tex](d)/(m)=V[/tex]
C. [tex](m)/(d)=V[/tex]
D. [tex]m-d=V[/tex]
The price of milk is believed to increase by 54% over the next 3 years. If 2 gallons of milk costs $2.50 now, what will the price be in 3 years after the increase?
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$3.85 will be the cost of the milk in three years
Final answer:
To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.
Explanation:
To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.
Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.
Here's the calculation:
Convert the percentage increase to a decimal: 54% = 0.54.
Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.
Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.
After a 54% increase, the price for 2 gallons of milk will be $3.85.
Compare the decimals 1,825.10 and 1,825.1. Which is correct? A. 1,825.10 > 1,825.1 B. 1,825.10 < 1,825.1 C. 1,825.10 = 1,825.1
Answers
1,825.1=1,825.10
Please help me god bless you.
Answers
If Tim and Terry started to run in opposite directions with the speeds of 90 feet per minute and 11 feet per minute respectively, how far away from each other will they be in 18 minutes?
PLZ, FIRST CORRECT ANSWER AUTOMATICALLY GETS BRAINLIEST!!
Answers
To find the distance between Tim and Terry after 18 minutes, you can calculate the distance each has traveled based on their speed and time elapsed. Then subtract their distances to find the total distance between them.
To determine the distance between Tim and Terry after 18 minutes, you can add up the distances each has traveled according to their speeds and time elapsed. Tim covers 90 feet/minute, so in 18 minutes, he would have traveled 90 * 18 = 1620 feet. Terry covers 11 feet/minute, so in 18 minutes, he would have traveled 11 * 18 = 198 feet.
Calculating the total distance between them:
Distance = |1620 - 198| = 1422 feet
A rope of length 2/5 m is cut into 4 equal cords. What is the length of each cord?
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hope it helps
please mark as brainliest
Which expression is equivalent to (x^1/2y^16)^1/2
Answers
I don't really know how to explain it, but this is the answer
Jermiah bought 3 sanwiches for lunch if each sandwich cost $4 how much did Jeremiah spend in all
Answers
3*4= $12
So 3 sandwiches cost $12
A First City Bank accepted a $3,500, 5%, 120-day note dated August 8 from a Capstone Company in settlement of a past bill. On October 11, First City discounted the note at Park Bank at 6%.
a. What is the note’s maturity value? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)
b. What is the discount period?
c. What is the bank discount? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)
d.
What proceeds does First City receive? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)
Answers
Notes Maturity Notes
Oct 22 ---> 284 daysAug 8 ---> 220
Grand Total --> 64 days passed
Discount Period
120-64 = 56 days
$3,500 x .05 x 120/360= $58.33$3,500 + $58.33= $3,558.33
Bank Discount
$3,558.33 x .06 x 56/360= $33.21
Proceeds
$3.558.33- $33.21 = $3,525.12
Jan is saving for a skateboard. She has saved $30 already, which is 20% of the total price. How much does the skateboard cost
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A business woman invests $38,000 into two accounts: one that returns 3.5% annual interest and one that returns 6.5% annual interest. After 1 year, she earns $1960. How much did she invest in each account?
$23,000 in the 3.5% interest account, $15,000 in the 6.5% interest account.
$26,000 in the 3.5% interest account, $12,000 in the 6.5% interest account.
$12,000 in the 3.5% interest account, $26,000 in the 6.5% interest account.
$17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.
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Final answer:
The business woman invested $17,000 in the 3.5% interest account and $21,000 in the 6.5% interest account.
Explanation:
To find how much she invested in each account:
Let x be the amount invested at 3.5% interest and y be the amount at 6.5%.
We can set up a system of equations like this: x + y = $38,000 and 0.035x + 0.065y = $1,960.
Solving this system, we get x = $17,000 and y = $21,000.
Therefore, investment is $17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account
In a taxi, there is a pregnant lady that's 25 years old.An elder that's 76 years old. The taxi driver who's 34 years old. Who is the youngest?
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i got yououu
Find the radius of a cylinder with a volume of 208 cm3 and a height of 4 cm.
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----------------------------------------------
Find radius :
----------------------------------------------
208 = π x r² x 4
r² = 208 ÷ 4π
r² = 16.55
r = √16.55
r = 4.07 cm
----------------------------------------------
Answer: The radius is 4.07 cm.
----------------------------------------------
what is the reciprocal
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the reciprocal of a rational, is just the same thing, upside-down, thus
[tex]\bf u^2-s^2\implies \cfrac{u^2-s^2}{1}\implies \stackrel{reciprocal}{\cfrac{1}{u^2-s^2}}[/tex]
In order to find the reciprocal of a number, we should just flop it over.
If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.
If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-
[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]
Explanation of steps:-
First, I turned the expression into a fraction by adding a denominator of 1.
Then, I flopped it over and found the reciprocal.
Hence, the reciprocal of u²-s² is:-
[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A rectangle has vertices A ( 1, 2) B (1, 7), C ( 4,7) and D (4, 2). What is the area of the rectangle
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In the figure, and . Complete the following statements to prove that and are supplementary angles. and , as they are corresponding angles for parallel lines cut by a transversal. Therefore, if , then by the . Therefore, and are supplementary angles by the . ° (1) , so (2) Applying the to (1) and (2), we get . Therefore, and are supplementary angles.
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1) D. (TRANSITIVE PROPERTY OF CONGRUENCY)2) C. (LINEAR PAIR THEOREM)3) D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.4) C. (CONGRUENT SUPPLEMENTS THEOREM)
The Complete sentence is shown below.
What is Congruent Supplement theorem?Two angles are congruent if they are supplements of the same angle (also known as congruent angles).
The Complete sentences will be
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° (Linear Pair Theorem)
and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
Then, m∠IKL + m∠IKC = 180°
Also, ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (Subtraction Property OF Congruency)
Thus, m∠IKL + m∠JLD = 180°
As, ∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (Congruent Supplements Theorem)
Learn more about Congruent Supplements Theorem here:
https://brainly.com/question/29175829
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What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?
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This is because we can start by setting up the equation as this:
3/5n - 4/5 = 1/5n.
Next we would subtract 3/5n from both sides.
-4/5 = -2/5n.
Then we would multiply both sides by 5/-2.
2 = n.
Answer:
n = 2
Step-by-step explanation:
As per statement of the question we will form the equation first.
[tex](\frac{3}{5})n-\frac{4}{5}=(\frac{1}{5})n[/tex]
Now we will solve the given equation to get the solution of n.
[tex](\frac{3}{5})n=\frac{4}{5}+(\frac{1}{5})n[/tex]
[tex](\frac{3}{5})n-(\frac{1}{5})n=\frac{4}{5}[/tex]
[tex](\frac{3-1}{5})n=\frac{4}{5}[/tex]
[tex](\frac{2}{5})n= \frac{4}{5}[/tex]
Now we cross multiply the fractions
(2×5)×n = 4×5
10.n = 20
[tex]n=\frac{10}{5}=2[/tex]
Therefore answer is n = 2
due to the same law, persons earning $500,000 per year had lower taxes removed from their paychecks on the first $106,800 they earned, saving them 2% of this portion of their salary. The same persons also received $14,250 more on their federal tax return. Fill in the blanks to complete the statement below. A person earning $500,000 a year received $______ more or______ % more of their income. Round to the nearest dollar and to the nearest tenth of a percent.
Answers
2/100*106,800
=$2136
amount received on federal tax return was $14,250
Total amount saved from taxes was:
14250+2136
=$16,386
this is equivalent to 16,386/500000=0.032772~3.28%
hence the answer is:
A person earning $500,000 a year received $16,386 more or 3.28% more of their income.
Final answer:
A person earning $500,000 per year received an additional $16,386 or 3.3% more of their income due to tax changes.
Explanation:
To ascertain how much more a person earning $500,000 per year received due to tax changes, we need to calculate the savings from the first $106,800 at a 2% reduction, in addition to the increased federal tax return of $14,250.
Firstly, we calculate 2% of $106,800:
0.02 × $106,800 = $2,136
Now, we add this to the additional amount received from the tax return:
$2,136 + $14,250 = $16,386
Therefore, a person earning $500,000 per year has received an additional $16,386. To find the percentage this additional amount represents of their income, we perform the following calculation:
($16,386 / $500,000) × 100 = 3.277%
Rounded to the nearest tenth of a percent, it is 3.3%.
The statement completed would be: A person earning $500,000 a year received $16,386 more or 3.3% more of their income.
An item is regularly priced at $ 40 . It is on sale for 40 % off the regular price. How much (in dollars) is discounted from the regular price?
Answers
$16 are discounted from the regular price of the item.
DiscountsGiven that an item is regularly priced at $40, and it is on sale for 40% off the regular price, to determine how much (in dollars) is discounted from the regular price, the following calculation must be performed:
40 - (40 x (1 - 0.4)) = X40 - (40 x 0.6) = X40 - 24 = X16 = XTherefore, $16 are discounted from the regular price of the item.
Learn more about discounts in https://brainly.com/question/1289629
ABC undergoes a dilation, with a scale factor of 6, to form A’B’C’
Side A’B’ is 6 times the length of slide AB
what is the area of A’B’C, compared to the area of ABC?
Answers
area scale factor=(linear scale factor)²
hence
area scale factor=6²
thus we conclude that the area of A'B'C' is 36 times the area of ABC