Circle O shown below has a radius of 25 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 137°.
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
[tex]Length\text{ of Arc =}\frac{\theta}{360^0}\text{ x 2}\pi\text{ r}[/tex][tex]\begin{gathered} where\text{ }\theta\text{ = 137}^0 \\ radius\text{ = 25 inches} \end{gathered}[/tex][tex]Length\text{ of arc = }\frac{137^0}{360^0}\text{ x 2 x }\pi\text{ x 25}[/tex][tex]Length\text{ of arc =}\frac{137^0}{360^0}\text{ x }\frac{50\pi}{1}[/tex][tex]Length\text{ of Arc = }\frac{21,519.90968}{360}[/tex][tex]Length\text{ of Arc = 59.77752688 inches}[/tex][tex]Length\text{ of Arc }\approx\text{ 59. 8 inches \lparen to the nearest tenth \rparen}[/tex]
Related Questions
Which shows the best estimate for 8.3 ÷ 1.01? A. 7 B. 8 C. 9 D. 9.5
Answers
Answer:
the answer is probably B. 8
Step-by-step explanation:
because when the exact answer is put out you need an estimate
8.2178 exactly with the added symbol
so the estimate would have to be B. 8
Answer:b.8
Step-by-step explanation:
Fiona is solving the problem. If she made a mistake in which step(s) did she make it?Solve: 25^x = ✓125Step 1: 25^x = 125^-2Step 2: 5^2x = 5^-6Step 3: 2x = -6Step 4: x = -3A) Step 1B) Step 2C) Step 3D) There is no mistake
Answers
Fiona made a mistake in Step 1 because:
[tex]\sqrt[]{125}=125^{\frac{1}{2}}\text{ not }125^{-2}[/tex]y = x sq+ 10 ; x = 3 find the value of the function rule
Answers
The value of the function is, y = 3.61
What is the value of the function?
The objective function's value at a solution is given by the value function of an optimization problem, which only depends on the problem's parameters.
Consider the given function,
[tex]y = \sqrt{x+10}[/tex]
We have to find the value of y at x = 3.
So, plug x = 3 in the above equation.
We get,
[tex]y = \sqrt{3 + 10} = \sqrt{13} = 3.61[/tex]
When we plug x = 3 then we get y = 3.61.
Therefore, the value of the given function is, y = 3.61
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60 POINTS!!! HELPFind any asymptotes or holes in the function below. Explain how you arrived at your answer. SHOW YOUR WORK AND THE STEPS YOU TOOK.
Answers
The function given is,
[tex]y=\frac{x-6}{(x-1)(x-6)}[/tex]Since , the leading coefficient of numerator is less than the leading coefficient of denominator .
Therefore, there is no horizontal asymptotes.
For finding the vertical asymptotes, substitute the denominator is equal to 0.
[tex](x-1)=0\text{ , }(x-6)=0[/tex][tex]x=\text{ 1,6.}[/tex]The vertical asymptotes are 1 and 6.
To find the hole in the function,
[tex](x-6)[/tex]is crossed out in numerator and denominator.
So, if we set up x-6 equals to 0.
The hole in the function is, when
[tex]x=6.[/tex]Marty can make four modifications to his car. He chooses to upgrade the tires, fuel, engine, and driver using the expression 4t + 2f + 3e + 1d to calculate the total cost. Which of these values represents the total cost of these upgrades?
Answers
The total cost of the upgrades is $3280.
What is the total cost?It is an economic measure that sums all expenses paid to the product, purchase, and investment. It refers to the overall cost of a product which includes both fixed and variable components of the cost. It works by allocating all the costs of doing business to the goods or services for sale. These are composed of both total fixed costs and total variable costs.
The given expression is 4t+2f+3e+1d
From the table, The values of t, f, e, and d in the cost column are 50, 40, 600, and 1200.
Substituting the values in the above equation.
4(50) + 2(40) + 3(600) + 1(1200) = 3280
Therefore, the total cost is $3280.
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The complete question is:
HINT: the table IS PROPORTIONAL, so that means we can compare any y/x value from the table to get r. r = y/x
r = ?
Answers
The given relation is not a proportional relationship, with proportional constant r =1.
What is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
The proportionality constant is,
for 1st case, r = y/x = 1
for 2nd case, r =y/x = 1
for 3rd case, r = y/x = 1
Hence we can say that the given relation is not a proportional relationship, with proportional constant r =1.
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Mrs. publinsky and her husband, xander, are planning their dream house. the lot for the house sits high on a hill with a beautiful view of the white mountains. the plans show the size of the house to be 2,900 square feet.
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The estimated cost if they use a contractor to complete the house would be $435,000.
How to calculate the cost of the house?The cost of the house is based on what home builders typically charge for a house similar to the one Mrs. Pavlinski and her husband Zander have in mind.
In this case, the contractor's price is $150 per square foot of her home while the area of the house is given as 2,900 square feet.
Total cost = Cost per square feet x Area of house
Solving for the estimated cost gives:
= 150 x 2,900
= $435,000
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The given question is incomplete and the complete question is as follows.
"Mrs. Publinsky and her husband, Xander are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,900 sq ft. The average price for a lot and house similar to this one has been 150 per sq ft. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs Publinsky feels she can take care of the interior decorating. They both feel they can complete the exterior painting with the help of their two sons."
michael is running for president. the proportion of voters who favor michael is 0.8. a simple random sample of 100 voters is taken. (a) what is the expected value of the sampling distribution of p?
Answers
The expected value of the sampling distribution of p is 0.8.
A statistic's probability distribution is called a sampling distribution when it is calculated from a larger number of samples taken from a particular population. The distribution of frequencies for a variety of outcomes that could possibly occur for a statistic of a population is known as the sampling distribution of that population.
The normal distribution, which is also known as the Gaussian distribution, is symmetric about the mean. It demonstrates that data close to the mean occur more frequently than data far from the mean. The normal distribution is depicted graphically as a "bell curve."
the sampling distribution of sample proportion will be a normal distribution with mean
[tex]\mu_{p}[/tex] = p = 0.8
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the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?
Answers
Thus, the 40% of the number is
[tex]688.909\cdot0.4=275.563[/tex]Dave is trying on pants. Each pair is too small, fits well, or is too big. Dave estimates that 10%, percent of the pants he tries on will be too small and that 20% of the pants will be too big. If he were to try on 20 pairs of pants, which is the best prediction for the number of pairs of pants that would fit well?
Answers
The best prediction for the number of pair of pants that would fit well is 14.
What is the best prediction?Percentage is when value is converted to a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.
The first step is to determine the percentage of pair of pants that would fit well.
Percentage of the pair of pants that would fit well = 100% - percentage that are too big - percentage that are too small
Percentage of the pair of pants that would fit well = 100% - 10% - 20% = 70%
Number of pair of pants that would fit well = total pants that Dave tried x percentage that fits well
Number of pair of pants that would fit well = 20 x 70%
Number of pair of pants that would fit well = 20 x 0.7 = 14
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9.3 divided by 3.8 HELP MEEEEEEEEEEEEEEEEEE
Answers
Answer: 2.44736
Step-by-step explanation:
suppose each license plate in a certain state has three letters followed by three digits. The letters H and L and the digits 1, 2, and 9 are not used. So, there are 24 letters and 7 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format.
Answers
Number of license plates = 24 x 24 x 7 x 7 x 7
= 197568
Convert 6 feet per hr to miles per year
Answers
We can convert this using the following conversion process:
[tex]\frac{6ft}{h}\cdot\frac{1mile}{5280.0196ft}\cdot\frac{1h}{0.0001141\text{year}}=9.9593\text{mile}/\text{year}[/tex]Therefore, the equivalent is 9.9593miles/year.
Match each system of linear equations with the correct number of solutions.
Answers
1) Linear equation has no solutions.
2) It has one solution.
3) It has many solutions.
Define linear equation.The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
Given,
Linear equations:
1) 3x - y = 4
6x - 2y = 8
Multiplying 3x - y = 4 by 2
6x - 2y = 8
6x - 2y = 8
0 = 0
It has no solutions.
2) -3x + y = 7
2x - 4y = -8
2(x - 2y ) = -8
x - 2y = -4
Multiplying x - 2y = -4 by 3
-3x + y = 7
3x - 12y = -12
-11y = -5
y = 5/11
It has one solution.
y = -4x -5
y = -4x + 1
It has many solutions.
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If f(x) = x + 4 and g(x) = x ^ 2 - 1 , what is big(g f big) big(x big) ?
Answers
Given
[tex]\begin{gathered} f\mleft(x\mright)=x+4 \\ g\left(x\right)=x^2-1 \end{gathered}[/tex]Find
[tex](g\circ f)(x)[/tex]
Explanation
[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ (g\circ f)(x)=g(x+4) \\ (g\circ f)(x)=(x+4)^2-1 \\ (g\circ f)(x)=x^2+16+8x-1 \\ (g\circ f)(x)=x^2+8x+15 \end{gathered}[/tex]Final Answer
Therefore , the correct option is C.
1. These are added to a picture to make it look more realistic.
Ospaces
Ohorizon lines
Oshadows
O sketches
Answers
(C) Shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
How does adding shadows affect a picture?For images to be properly balanced, light and shadow contrast is crucial. Shadow can provide drama to a certain area of the composition of an image while light makes an image appear brighter. For black-and-white images, using shadows to add contrast is extremely important because you won't be using color to add interest or contrast. With the addition of depth and realism, shadows can significantly enhance the overall aesthetics and usability of any design. Shadows in design should effectively integrate into the overall design and mimic the real-world, organic behavior of light and shadow-casting.Therefore, (C) shadows are added to a picture to make it look more realistic by enhancing the aesthetics of the picture.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y complete the missing value in the solution to the equation.
Answers
The missing value is 6.
As per the question, y = -4. Keeping the value of y in the equations to find the value of x.
6x + 7(-4) = 4x + 4(-4)
Performing multiplication on each side of the equation
6x - 28 = 4x - 16
Rewriting the equation with identical values on each side of the equation
6x - 4x = 28 - 16
Performing subtraction on each side of the equation to find the value of x
2x = 12
Shifting 2 to Right Hand Side of the equation
x = 12 ÷ 2
Performing division on Right Hand Side of the equation
x = 6
Hence, the value of x is 6.
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The complete question is -
6x+7y=4x+4y
Complete the missing value in the solution to the equation.
(__,-4)
two shirts cost 12:40$ how much will it cost to buy five of the shirts?
Answers
Answer:
12.50/26.256.25×5 31.25
Step-by-step explanation:
HELP IT'S DUE NOW! :(
Answers
The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 .
In the question ,
it is given that
the total amount paid by the customer at the print shop = $6.00
total number of copies that the customer made = 68
the cost for printing 1 black and white copy = $0.08
the cost of printing 1 color copy = $0.15
let the number of black and white copies be "b"
let the number of color copies be "c" .
So ,
b + c = 68
and
the cost of b black and white copies is = 0.08b
the cost of c color copies is = 0.15c
the total cost = cost of b black and white copies + cost of c color copies
6.00 = 0.08b + 0.15c
0.08b + 0.15c = 6.00
Therefore , The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 , the correct option is (d) .
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PLEASE HELP ME OUT WITH THIS X^2+10x+25
Answers
Answer:
(x+2)(x+5)
Step-by-step explanation:
a cell phone tower cast a shadow 10 feet long at the same time that a 75-foot building casts a shadow 15 feet long. how tall is the cell phone tower?
Answers
Answer:
50 feet
Step-by-step explanation:
Which equation demonstrates the distributive property? Responses A (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8) B 15 + 40 = 5(3 + 8)15 + 40 = 5(3 + 8) C 15 x 40 = 40 x 1515 x 40 = 40 x 15 D 15 + 40 = 55
Answers
The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
There are some equations.
Now,
We know that by the definition of distributive property,
⇒ a (b + c) = ab + ac
So, By the equation (ii);
⇒ 15 + 40 = 5 × 3 + 5 × 8
= 5 (3 + 8)
Thus, The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
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What is the range of the function f(x) = x^2 - 2x -15?*
Answers
For this problem, we are given a certain function and we need to determine its range.
The function is:
[tex]f(x)=x^2-2x-15[/tex]This quadratic function has a minimum value in its range, which is represented by its vertex. The best way to determine the range is to find the coordinates of the vertex of this function, therefore we have:
[tex]\begin{gathered} x_{vertex}=\frac{-b}{2a}=\frac{2}{2}=1\\ \\ y_{vertex}=f(1)=(1)^2-2(1)-15=1-2-15=-16 \end{gathered}[/tex]The minimum value in the range is -16, which means that the range is:
[tex]\lbrace f(x)|f(x)\geqslant-16\rbrace[/tex]The correct option is the second one.
Similar figures have sides that are proportional and corresponding angles 1 that are to each other * Cooresponding Similar O Congruent O Proportional O None of the above
Answers
Similar figures have sides that are proportional and corresponding angles are congruent to each other
20(4. 12)6.Cost($)Weight (kg)Use the graph to find the rate of change of the function m
Answers
Rate of change of the function, dC/dW = 3
Explanations:Let the cost be represented as C
Let the wight be represented as W
[tex]\begin{gathered} (W_1,C_1)\text{ = (1, 3)} \\ (W_2,C_2)\text{ = (4, 12)} \end{gathered}[/tex]The rate of change of the function can be calculated using the formula:
[tex]\begin{gathered} \frac{dC}{dW}=\text{ }\frac{C_2-C_1_{}}{W_2-W_1} \\ \frac{dC}{dW}=\text{ }\frac{12-3}{4-1} \\ \frac{dC}{dW}=\text{ }\frac{9}{3} \\ \frac{dC}{dW}=\text{ 3} \end{gathered}[/tex]What is the value of x when the Richter
scale rating is 7.5? Round your answer
to the nearest hundredth.
Answers
The value of x = 31622776.6.
To find what is the value of x when the Richter scale rating is 7.5.
To round your answer to the nearest hundredth.
if no base is stated, then assume base 10
[tex]log(x) = log_{10} (x)[/tex]
Lets remember that [tex]a = log_{b}(c)[/tex] translates to [tex]b^{a} = c[/tex]
so
[tex]r = log(x)[/tex]
or
[tex]r = log_{10}(x)[/tex] translates to [tex]10^{r} = x[/tex]
so when r=7.5, what is x
[tex]10^{r} = x\\\\10^{7.5} = x[/tex]
31622776.60168379 = x
round to nearest ???
thousandth? 31622776.601 = x
hundredth? 31622776.60 = x
tenth? 31622776.6 = x
Hence the answer is the value of x = 31622776.6.
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answer question below pls. If you do, I will mark it brainliest.
Answers
The expression in the blank spaces -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
What are the expressions in the blank space?
This is a problem involving algebraic expressions
Since the total for each row and column is the same
First, start from the second because it is complete. Add up all the expressions to get the total:
2x-3 + 3 + 2-x + x = 2x-2
Check the attached image. I labeled the boxes with alphabets for convenience.
A = 2x-2 -(1-2x) - (4x-1)-(3x-2) (Remember: 2x-2 is the total)
A = 2x-2 -1 +2x - 4x+1-3x+2 = -3x
B = 2x-2 -(8-3x) - (2x-3) -(1-2x)
B = 2x-2 -8+3x - 2x+3 -1+2x = 5x-8
C = 2x-2 -B -(6-5x) -(6x-7) where B = 5x-8
C = 2x-2 -5x+8 -6+5x -6x+7 = -4x+7
D = 2x-2 -3 -(4x-1) -(6-5x)
D = 2x-2 -3 -4x+1 -6+5x = 3x-10
E = 2x-2 -C -(2-x) -(3x-2)
E = 2x-2 +4x-7 -2+x-3x+2 = 4x-9
F = 2x-2 -A -x -(6x-7)
F = 2x-2 +3x -x -6x +7 = -2x+5
Therefore, the blank spaces should be filled with the expressions -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
what digit is in the
Answers
we have the expression
[tex]\frac{2}{9}\cdot\frac{1}{3}[/tex]Multiply the fractions
(multiply the numerators and the denominators)
so
[tex]\frac{2}{9}\cdot\frac{1}{3}=\frac{2\cdot1}{9\cdot3}=\frac{2}{27}[/tex]