My method is a little bit different, but I hope it helps..
Total angle=103°+103°=206°
Total area=π×17×17=289π≈368.1
Area of shaded region=(206/360)×368.1
=210.6 sq. meter
What is an equation of the line that passes through the points (4, -2) and (2, 3)?
Step-by-step explanation:
For this problem, you'll need two formulas:
Slope: y1 - y2/x1 - x2
Point Slope: y - y1 = m(x - x1)
First thing you need to use is the slope formula.
Plugging in your coordinates gives you:
[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]
You can simplify this by getting rid of the negatives since two negatives make a positive.
Now to use the point slope formula.
For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).
I'll be using the point (2,3). Now plug everything in:
[tex]y-3=\frac{5}{2} (x-2)[/tex]
First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:
[tex]y-3=\frac{5}{2} x-5[/tex]
Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:
[tex]y=\frac{5}{2} x-2[/tex]
Hope this was helpful, good luck :)
5. In the given sequence 32, 28, 24, 20, What rule is applied?
a. 10[tex]n[/tex]
b. 4[tex]n[/tex]
c. [tex]n[/tex]- 4
d. ([tex]n[/tex]+ 5) / 8
Answer:
C
Step-by-step explanation:
A number is n, therefore you can start off with 32 and subtract 4 getting you 28. Subtract 4 and you get 24, and again 20.
Answer number 6 pleaseeeee
Answer:
20 peopleStep-by-step explanation:
25% = 1/4 of 100
100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200
If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.
50... ok......
50 = 25%
Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people
So, if 25-15=10
and then 5% = 10 people
5%+5%=10
10+10=20
That means, that 20 people more liked the movie than disliked it.
The histogram shows the distribution of heights, in inches, of 100 adult men.
6 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
Height (inches)
Based on the histogram, which of the following is closest to the interquartile range, in inches, of the distribution?
2
B
5
9
D
D
12
15
Based on the histogram, the interquartile rangle of the distribution is 5 inches.
What is the interquartile range?The interquartile range is the difference between the third quartile of a data set and the first quartile of the data set.
First quartile = 1/4 x ( n + 1)
= 101 / 4 = 25.25
25.25 on the histogram is 66
Third quartile = 3/4 x (n + 1)
303 / 4 = 75.75
75.75 on the histogram is 71
Interquartile range = 71 - 66 = 5
Please find attached the image of the histogram. To learn more about histograms, please check: https://brainly.com/question/14473126
Gary has 24 sweets. He eats 3/8 of them.
Ben has 30 sweets. He eats 2/5 of them. Who has the most sweets left?
no of sweet gave to peny is 24×3/8 = 9 sweets
rest was ate by him
so the sweet ate by him is 24-9 = 15 sweet
hope this helps you kindly mark me as brainliest and follow me
Based on the amount of sweets eaten by Gary and Ben, the person with more sweets left is Ben.
Who has more sweets left between Ben and Garry?The sweets left by Gary are:
= 24 - (24 x 3/8)
= 24 - 9
= 15 sweets
The sweet left by Ben are:
= 30 - (2/5 x 30)
= 30 - 12
= 18 sweets
In conclusion, Ben has more sweets left.
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At a soccer game the snack bar sells hot dogs for 4 dollars and slices of pizza for 6 dollars. The snack bar sold 70 hot dogs and slices of pizza all together for $342 dollars.
Part A: Enter the total number of hot dogs sold.
Part B: Enter the total number of slices of pizza sold.
Answer:
Part A: Enter the total number of hot dogs sold. 70 of sold hot dogsPart B: Enter the total number of slices of pizza sold. 50 slices of pizzaStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧Which letter will correspond to the location of the following points when plotted on the number line below?
Answer:
A, E, B, D, C
Step-by-step explanation:
1) 6 is A
2) √83 = 9.11, so it is E
3) √40 = 6.3, so it is B
4) √64 = 8, so it is D
5) 7.5 is C
Solve for x . 8x-3 & 4x+3
8x-3+4x+3=180
?x+_=180
Answer:
x = 15
Step-by-step explanation:
the 2 angles are a linear pair and sum to 180° that is
8x - 3 + 4x + 3 = 180
12x = 180 ( divide both sides by 12 )
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles are 8x - 3 and 4x + 3. And they are supplementary angles. Then the equation is given as,
8x - 3 + 4x + 3 = 180
Simplify the equation, then we have
8x - 3 + 4x + 3 = 180
12x + 0 = 180
x = 15
The angles are supplementary angles. Then the value of the variable 'x' will be 15.
More about the angled link is given below.
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Simplify the following.
I need to see a step by step answer on both questions to see how it actually works.
Answer:
See below ~
Step-by-step explanation:
27. (B)
3a/5b + 4a/15bTake the LCM to be 15b3a(3) + 4a / 15b13a/15b27. (C)
(3²)³ × 3⁰ ÷ 3⁴3⁶ x 1 ÷ 3⁴3²3 x 39Answer:
1,
[tex] \frac{13a}{15b} [/tex]
2,
[tex]9[/tex]
Step-by-step explanation:
[tex] \frac{3a}{5b} + \frac{4a}{15b} [/tex]
[tex] \frac{45a}{75b} + \frac{20a}{75b} [/tex]
[tex] \frac{13a}{15b} [/tex]
2,
[tex] {3}^{6} \times {3}^{0} \div {3}^{4} [/tex]
[tex]729 \times 1 \div 81[/tex]
[tex]729 \div 81 = 9[/tex]
please help me...asap
Answer:
Your answer is D. 5 children, 12 teens, and 3 adults.
Step-by-step explanation:
45 children, 108 teens, and 27 adults.
x - children , y-teens, z-adults
45x + 108y + 27z
GCF for 45, 108, 27 is 9 so factory out 9 to all.
[tex]\frac{45}{9} ,\frac{108}{9} ,\frac{27}{9} \\5,12,3[/tex]
5 children, 12 teens, and 3 adults.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{It seems like all of your numbers are apart of the 9 factors. So, we will }\\\large\text{DIVIDE each of your numbers by 9 until we find out the total}\\\large\text{population (also known as your result to this equation)}[/tex]
“[tex]\large\text{45 children, 108 teens, \& 27 adults}[/tex]”
[tex]\large\textbf{Equation \# 1.}\\\\\large\boxed{\rm{\dfrac{45\ children}{9\ children}}}\\\\\\\large\boxed{= \rm{45 \ children \div 9 \ children}}\\\\\\\large\boxed{\rm{= 5\ children\ in\ total}}[/tex]
[tex]\large\textbf{Equation \# 2.}\\\\\large\boxed{\rm{\dfrac{108\ teens}{9\ teens}}}\\\\\\\large\boxed{= \rm{108\ teens \div 9 \ teens}}\\\\\\\large\boxed{= \rm{12 \ teens \ in \ total}}[/tex]
[tex]\large\textbf{Equation \# 3.}\\\\\\\large\boxed{\rm{\dfrac{27\ adults}{9\ adults}}}\\\\\\\large\boxed{\rm{= 27\ adults \div 9 \ adults}}\\\\\\\large\boxed{\rm{= 3\ adults\ in\ total}}[/tex]
[tex]\huge\textbf{Therefore, your answer is:}\\\\\huge\boxed{\textsf{Option D. 5 children, 12 teens, 3 adults}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Which expression is equivalent to cube root of 216 x superscript 27 ? 6x3 6x9 72x3 72x9
The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the given equation with the help of mathematical operations.
The expression given in the problem is,
[tex]\sqrt[3]{216\times {27}}[/tex]
Let the expression which is equivalent to the above expression is n. Thus,
[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]
Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).
Learn more about the equivalent expression here;
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Answer:
A
Step-by-step explanation:
Is 2x 4/3 equal to 4x 2/3
[tex]2x \times \frac{4}{3} = 4x \times \frac{2}{3}[/tex]
[tex] \frac{8x}{3} = \frac{8x}{3} [/tex]
Both are equivalents
If 6 and 10 are factors of a number, identify four other factors of the number
Answer:
1 2 3 5
Step-by-step explanation:
1 and 2 go into 6 and 10. 3 goes into 6 and 5 goes into 10
Find the equation of the lines a and b
Step-by-step explanation:
A ) 3x-2
B ) -4x+5
I HOPE IT HELPED YOU
Help me plssss!
[tex]-124x+102=-126x-90[/tex]
Answer:
x=-96
Step-by-step explanation:
isolate x by moving -124x to the other side by adding -124x to -126x = -2x
then it will look like: 102= -2x-90
add 90 to both sides: 192= -2x
divide both sides by -2 to isolate x
x= -96
I NEED THIS ASAP!!
Solve for X and find the angle relationship!!
(WILL GIVE BRAINIEST)
THIS IS RLY IMPORTANT
Answer:
Vertical anglesx = 1484°Step-by-step explanation:
The indicated angles are vertical angles since formed by two intersecting lines.
We know the vertical angles are congruent. Use this property to find the value of x and the angle measure
6x = 3x + 426x - 3x = 423x = 42x = 42/3x = 14The angle measure
6*14 = 84Opposite angles are equal
6x=3x+426x-3x=423x=42x=42/3x=14Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $0.90. What percent discount did she give on her lemonade? *
Answer:
40%
Step-by-step explanation:
1.50 - 0.90 = 0.60
0.60 cents are saved.
[tex]\frac{0.60}{1.50} = 0.4[/tex]
0.4 = 40%
hope this helps :)
Which represents a perfect cube? 6 times 6 times 6 6 6 6 3 times 3 times 3 times 3 3 3 3 3 3
The expression that represents a perfect cube is expressed as: 6 × 6 × 6
What is a Perfect Cube?A perfect cube, x, is such that x × x × x = x³ = ∛x.
Thus, we have:
6 × 6 × 6 = 216
Cube root of 216 = ∛216
∛216 = 6
We can then conclude that the expression that represents a perfect cube is: 6 × 6 × 6
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Answer:
6x6x6
Step-by-step explanation:
Solve 2(9-x) = 3 ( x +16 )
Answer: x=-6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(9−x)=3(x+16)
Step 1: Simplify both sides of the equation by distribution
[tex]2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\[/tex]
Step 2: Subtract 3x from both sides.
[tex]-2x+18-3x=3x+48-3x\\-5x+18=48[/tex]
Step 3: Subtract 18 from both sides.
[tex]-5x+18-18=48-18\\-5x=30[/tex]
Step 4: Divide both sides by -5.
[tex]\frac{-5x}{-5} =\frac{30}{-5} \\x=-6[/tex]
Omar wants to simplify the following expression. What should be his first step? 6 x (3 + 9) - 5
*
1 point
Multiply 6 by 3
Subtract 5 from 9
Add 3 to 9
Subtract 5 from 6
Answer:
(c) Add 3 to 9
Step-by-step explanation:
The order of operations tells you that quantities in parentheses are evaluated first.
Here, that means the first step is finding the sum 3+9.
If one mile is aprox 1.6 kilometers the how many miles is the race
p.557(3-6 all): Similar Triangles and Indirect Measurement
I need helppp :/ please
Answer:
3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft
Step-by-step explanation:
3. use proportions:
[tex]\frac{h}{50} = \frac{50}{12.5}[/tex]
50(50) = 12.5h
h = 200ft
4.
[tex]\frac{h}{6} =\frac{7}{2}[/tex]
6(7) = 2h
h = 21ft
5.
[tex]\frac{25}{8} =\frac{x}{12}[/tex]
25(12) = 8x
x = 37.5m
6.
[tex]\frac{9}{15} =\frac{h}{7}[/tex]
9(7) = 15h
h = 4.2ft
What is the equation of the line that passes through the point (8,-6) and has a
slope of o?
The slope or gradient has this formula when two points are given: m = y1 −y x1 −x In this case we have the points (-6,-8) and (-7,y) and m=-8.
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. if erica made $42.80 on monday, $64.20 on tuesday and $74.90 on wednesday, how many subscriptions did she sell in the three days? a. 32 b. 33 c. 34 d. 35 please select the best answer from the choices provided a b c d
Answer:
c. 34
Step-by-step explanation:
1) Add all the given prices on each day.
= 42.80 + 64.20 + 74.90
= 181.90
2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.
Let x = number of magazine subscriptions sold
5.35x = 181.90
x = [tex]\frac{181.90}{5.35}[/tex]
x = 34
Taub missed 14 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Taub answer correctly?
Answer:
81%
Step-by-step explanation:
200-38= 162
162/200= 81/100
81%
Answer:
93%
Step-by-step explanation:
100 x 186= 200 * x
18600/200 = 200x/200
93%=x
186/200 = 0.93
convert decimal to percent
0.93 x 100= 93%
Which of the following rational functions is graphed below?
5
10
A. F(X) =
OB. F(x)=
O C. F(x) =
D. F(X) =
(x + 1)
(x + 2)(x-2)
(x+1)
(x-1)(x+2)
2x
x(x - 2)
(x-1)
x(x-2)
ڈے
Answer:
B. F(x) = (x+1)/(x-1)(x+2)
Step-by-step explanation:
See attached graph. Note how the two vertical lines at x = -2 and 1 match plot B
The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]
What are asymptotes?
An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.
The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.
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solve the volume for the triangular prism
Answer:
9.5 cubic units
Step-by-step explanation:
You need to multiply everything together and divide by 2.
5 x 2 x 1.9/2 = v
19/2 = v
9.5 cubic units
A recipe calls for 2/5 cup of sugar for every 3/10 teaspoon of vanilla. What is the unit rate of cups per teaspoon?
Answer:
4/3 cups/tsp
Step-by-step explanation:
You want cups / tsp = 2/5 c / 3/10 tsp = 2/5 * 10/3 c/tsp = 20/15 = 4/3
Which products result in a difference of squares? select three options. (x minus y)(y minus x) (6 minus y)(6 minus y) (3 x z)(negative 3 x z) (y squared minus x y)(y squared x y) (64 y squared x squared)(negative x squared 64 y squared)
The three (3) products that resulted in a difference of squares are:
(3 + xz)(-3 + xz) (y² - xy)(y² + xy)(64y² + x²)(-x² + 64y²)How to determine the difference of squares?In Mathematics, the standard form for a difference of two (2) squares is given by a² - b² = (a + b)(a - b).
(3 + xz)(-3 + xz) = (3 + xz)(xz -3)
(3 + xz)(xz -3) = 3xz - 9 + x²z² - 3xz.
(3 + xz)(xz -3) = x²z² - 9
Therefore, x²z² - 9 ≡ a² - b²
(y² - xy)(y² + xy) = y⁴ + xy³ - xy³ - x²y²
(y² - xy)(y² + xy) = y⁴ - x²y²
Therefore, y⁴ - x²y² ≡ a² - b².
(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²)
(64y² + x²)(-x² + 64y²) = 4096y⁴- 64y²x² + 64y²x² - x⁴
(64y² + x²)(-x² + 64y²) = 4096y⁴ - x⁴
Therefore, 4096y⁴ - x⁴ ≡ a² - b².
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Answer:
Step-by-step explanation:
You are considering buying the house next to your home in order to fix it up and
sell it to make a profit. Ypu estimate that you will need to invest about $8,000 to
make necessary repairs and upgrades. After these improvements, you should
be able to sell it for $215,000. If the general guideline for flipping is to buy at
least 20% below the market value, what is the most you should be willing to pay
for the home?
Answer:
s
Step-by-step explanation: