Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
Greg works mowing lawns and babysitting.he earns $8.90 and hour for mowing and 7.90 and hour for babysitting how much will he earn for 6 hours of mowing and 5 hours of babysitting ?
Answer:
92.9
Step-by-step explanation:
8.90 times 6 equals 53.40
7.90 times 5 equals 39.50
39.50 plus 53.40 equals 92.9
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions of the rectangle
Given:
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet[tex]\\[/tex]
❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.
[tex]\\[/tex]
To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:
[tex]\\[/tex]
[tex] \: \: \: \: \: \: \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)} = Length \times width }}}}} \\ \\ [/tex]
[tex]\\[/tex]
[tex] \underline {\sf{Substituting \: the \: values~ in~ above~formula: }} \\ [/tex]
[tex]\\[/tex]
[tex] : \implies \sf \:x \times (x - 5) = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x - 126 = 0 \\ \\ \\ : \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\ \\ \\ : \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\ \\ \\ : \implies \sf \:(x - 14)(x - 9) = 0 \\ \\ \\ : \implies { \boxed { \purple{\pmb { \: x = 14 \: \: or \: \: x = -9}}} } \\ \\ \\ [/tex]
We know that side can't be negative. So, x = 14 feetHence,
Width of rectangle = x - 5 = 9 feetLength of rectangle = x = 14 feet[tex]\\[/tex]
[tex] \\ { \underline{ \pmb{ \frak{\therefore Dimensions \: of \: rectangle \: are \: 9~ feet \: and \: 14 ~feet \: }}}}[/tex]
Given that, width of the rectangle is 5 feet less than the length and area of the rectangle is 126 sq. feet, and we are told to find the dimensions i.e the length and width of the rectangle.
As we know that the area of a rectangle is length times it's width, so if we assume our length to be x, so our width is just going to be (x - 5) , and putting it in the area formule we can thus obtain;
[tex]{:\implies \quad \sf x(x-5)=126}[/tex]
[tex]{:\implies \quad \sf x^{2}-5x-126=0}[/tex]
[tex]{:\implies \quad \sf x^{2}-14x+9x-126=0}[/tex]
[tex]{:\implies \quad \sf x(x-14)+9(x-14)=0}[/tex]
[tex]{:\implies \quad \sf (x-14)(x+9)=0}[/tex]
So, here either (x - 14) = 0 or (x + 9) = 0, when you equate both, you will get x = 14 or -9 but as x ≠ -9, so x = 14, and then x - 5 = 14 - 5 = 9
Hence, the required length and width are 14 feet and 9 feet respectively
How many 1/6 pound servings are there in 4/5 of a pound of chicken?
Answer: [tex]4\frac{4}{5}[/tex]
Step-by-step explanation:
To see how many [tex]\frac{1}{6}[/tex] pound servings are in [tex]\frac{4}{5}[/tex] of a pound of chicken we must divide [tex]\frac{4}{5}[/tex] by [tex]\frac{1}{6}[/tex]
[tex]\frac{4}{5}[/tex]÷[tex]\frac{1}{6}[/tex]
When dividing by a fraction you can take the reciprocal (flip the numerator and denominator) and you can multiply instead of dividing
[tex]\frac{4}{5}[/tex]×[tex]\frac{6}{1}[/tex]=[tex]\frac{24}{5}[/tex]=[tex]4 \frac{4}{5}[/tex]
Answer:
24/5, or 4.8, servings
Step-by-step explanation:
Let s represent the number of servings. We have:
[tex] \frac{1}{6} s = \frac{4}{5} [/tex]
[tex]s = \frac{24}{5} = 4.8[/tex]
Pls help I need to know how much the penny will be by the end
Answer:
Day 1: $.01
Day 2: $.02
Day 3: $.04
Day 4: $.08
Day 5: $.16
Day 6: $.32
Day 7: $.64
Day 8: $1.28
Day 9: $2.56
Day 10: $5.12
Day 11: $10.24
Day 12: $20.48
Day 13: $40.96
Day 14: $81.92
Day 15: $163.84
Day 16: $327.68
Day 17: $655.36
Day 18: $1,310.72
Day 19: $2,621.44
Day 20: $5,242.88
Day 21: $10,485.76
Day 22: $20,971.52
Day 23: $41,943.04
Day 24: $83,886.08
Day 25: $167,772.16
Day 26: $335,544.32
Day 27: $671,088.64
Day 28: $1,342,177.28
Day 29: $2,684,354.56
Day 30: $5,368,709.12
Reflect the shape A in the line x=-1
What are the coordinates of the vertices of the image?
please answer random who answered my last question
Answer:
(-5,3) (-7,3) (-5,6)
Step-by-step explanation:
So the line x= -1 is also a vertical line but this time it passes through the point (-1,0).
I hope this helps!!
Find the surface area of the prism. Write your answer as a decimal.
Answer:
49.2 square yards
Step-by-step explanation:
The surface area of a rectangular prism can be found using the formula.
A = 2(LW +H(L +W)) . . . . where L, W, H are length, width, height
A = 2(3×5 +1.2(3 +5)) = 2(15 +9.6) = 49.2 . . . . square yards
what is the slope of line AB
Answer:
2,3
Step-by-step explanation:
you count up 2,then count over three
Unit 10: circles homework 6: arc & angle measures
**please explain how you get your answer**
Circles are perfectly round figures that have only one central angle
The measure of JML is 233 degrees
How to determine the measures of angle JML?The question is incomplete, so I will give a general explanation using the following parameter:
JL = 127 degrees.
Angles at a point add up to 360 degrees
So, we have:
JML + 127 = 360
Make JML the subject
JML = 360 - 127
JML = 233
Hence, the measure of JML is 233 degrees
Read more about circles and arcs at:
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Julio makes a scale drawing of the kitchen floor to determine how
many square feet of flooring he needs to buy. the scale of his drawing
is 1 inch:4 feet.
what is the area of julio's actual kitchen floor?
27
step 1 is to convert 3. to
step 2 is to convert 4. to
step 3 is to multiply each improper fraction by 4
step 4 is to multiply your answers to step 3 together to find the
answer
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
How to determine the actual area of Julio's kitchen?The parameters are given as:
Length = 4.5 inchesWidth = 3.375 inchesStart by converting the dimensions to feet using the scale ratio
Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feetActual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feetThe area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
Read more about scale drawings at:
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i need help with this
Answer:
A tangent to a circle is a straight line which touches the circle at only one point. Therefore, if [tex]x=2y+5[/tex] is a tangent of [tex]x^2+y^2=5[/tex] then there will be one point of intersection.
To find the point of intersection, substitute [tex]x=2y+5[/tex] into [tex]x^2+y^2=5[/tex] and solve for y:
[tex]\implies (2y+5)^2+y^2=5[/tex]
[tex]\implies 4y^2+20y+25+y^2=5[/tex]
[tex]\implies 5y^2+20y+20=0[/tex]
[tex]\implies y^2+4y+4=0[/tex]
[tex]\implies (y+2)^2=0[/tex]
[tex]\implies y+2=0[/tex]
[tex]\implies y=-2[/tex]
Substitute found value of y into [tex]x=2y+5[/tex] and solve for x:
[tex]\implies x=2(-2)+5=1[/tex]
Therefore, there is one point of intersection at (1, -2), thus proving that the straight line equation is a tangent to the circle.
Hest answer = Brainilest
Archie is playing hide-and-seek with Valerie and Anya. Valerie is hiding 60 feet south of Archie and Anya is hiding due west of Valerie. If Archie is 100 feet from Anya, how far apart are Valerie and Anya?
Answer 116•6 feet
Hope it is helpful
Please help i will give brainly :
1) The x-axis represents the energy ([tex]E[/tex]), in joules. The y-axis represents the amplitude ([tex]x[/tex]), in milimeters.
2) The curve depicts an monotonous decrecent rate of change.
3) The amplitude is directly proportional to the root square of the energy.
How to analyze a graph relationship between two variables
In this question we have a relationship between two variables, in which we must apply principles of functional analysis to respond three questions presented in the statement.
Now we proceed to answer the three questions below:
What is on the x-axis? The y-axis? R/ The x-axis represents the energy ([tex]E[/tex]), in joules. The y-axis represents the amplitude ([tex]x[/tex]), in milimeters.How would you describe the rate of change of the line? R/ The curve depicts an monotonous decrecent rate of change, that is, the slope converges to zero when the energy tends to infinite.What does this tell you about the relationship between amplitude and energy? R/ The curve show a strong similarity with a function of the form [tex]x = A\cdot \sqrt{E}[/tex]. Hence, the amplitude is directly proportional to the root square of the energy.To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/12431044
Introduction to Functions (40-41)
Find which relations below represent functions. Write function if it represents a function in the blanks provided.
Otherwise, write not a function in the blanks provided below the tables.
A
B
X1
Yı
X1
уі
X1
yı
7
0
3
Сл
-4
-3
5
5
Сл
7
-4
1
-8
2
7
9
10
-4
-1
-1
15
7
-4
-3
7
-2
or do
20
5
7
-4
-5
1
Answer:
try the option provided in the attachment.
Table B and C are represent the function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find which relations below represent functions.
Now,
We know that;
A relation between a set of inputs having one output each is called a function.
Hence, By table 1;
Each output has same input.
Thus, Its not represent function.
By table 2;
A set of inputs having one output each.
Hence, Its represent function.
By table 3;
A set of inputs having one output each.
Hence, Its represent function.
Thus, Table B and C are represent the function.
Learn more about the function visit:
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Pls help me! 19 and 20.
Answer:
See below ↓
Step-by-step explanation:
19.
[tex]\frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}[/tex][tex]\frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}[/tex][tex]\frac{5x-5-2x+6-x+7+2x-4}{10}[/tex][tex]\frac{4x+4}{10}[/tex][tex]\frac{2x+2}{5}[/tex]20.
[tex]\frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }[/tex][tex]\frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }[/tex][tex]\frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }[/tex][tex]\frac{10x^{2}-6}{8x^{2} }[/tex][tex]\frac{5x^{2}-3}{4x^{2} }[/tex]Helppp meee please this one confuses me
[tex] = (3x + 2)(x + 1) \\ = 3x(x + 1) + 2(x + 1) \\ = {3x}^{2} + 3x + 2x + 2 \\ = {3x}^{2} + 5x + 2[/tex]
Find the area of the shaded region.
Answer:
40.5 square meters
Step-by-step explanation:
the first thing you should do is find the area of the entire square
that is 9 * 9 which is 81
then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5
81 - 40.5 is 40.5 so the shaded region is 40.5
The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3.
Answer:
[tex]y = \frac{1}{3} x^2[/tex]
Step-by-step explanation:
Vertical stretch = widens graph
Factor = multiply by [tex]\frac{1}{3}[/tex]
FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]
Hope this helps!
the glass forms a cylinder with a radius of 1.5 inches. the volume of the glass is approximately 45.95 cubic inches. what is the height of the drinking glass in inches? round your answer to the nearest tenth.
Answer:6.80
Step-by-step explanation:
Find the value of x.?
Your answer is ≈ 19
Step-by-step explanation:
180 - 124 = 56
56 / 3 = 18.66666666666667
18.66666666666667 round it up...…
19
X = 19
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
What is the explicit formula for the sequence 8, 10, 12.5, 15.625, …?
36. Only 0.15 of the total number of vehicles in your school parking lot are
buses. What percent of the vehicles are buses?
10 points
0,15 = 15 : 10 = 15%
WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Hey there!
The first step in solving this equation is
using the Distributive property & distributing 2:2(7x-3)=9
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning:-)
A clothing store is selling a pair of jeans for $17 and a sweatshirt for $8. Which inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend? Assume that there is no sales tax.
Answer:
1 pair of jeans and 3 sweatshirts
Step-by-step explanation:
41-17=24
24/8=3
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend will be; 17x + 8y ≤ 41
What is inequality?An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that clothing store is selling a pair of jeans for $17 and a sweatshirt for $8.
Therefore,
41-17=24
Unit price = 24/8=3
Thus 1 pair of jeans and 3 sweatshirts
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans becomes as;
17x + 8y ≤ 41
Learn more about inequality ;
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Keneda dropped her folder in the hallway and her geometry notes went everywhere. Sophia is helping her gather her notes and picked up a piece of paper with the following diagram drawn on it.
Which of the following constructions would involve this diagram?
A. construction of a line parallel to through point C
B. construction of a line perpendicular to through point C
C. construction for copying AB
D. construction for copying FDE
The diagram involves the construction for copying angle FDE as angle HCG.
What is an angle?An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.
The diagram involves the construction for copying angle FDE as angle HCG.
Find out more on angle at: https://brainly.com/question/25770607
Can you guys please help!!!??
ur mom
Step-by-step explanation:
A research firm has determined that 80% of telephone
respondents will agree to answer an opinion poll. If 20
people are contacted, what is the probability that exactly 14
people agree to be polled?
The probability that out of 20, 14 agree to answer is:
P(14) = 0.109
How to find the probability?
We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).
Then the probability that a random respondent agrees to answer the poll is 0.8
Now, the probability that out of 20, 14 agree to answer, is:
[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]
Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).
[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]
Replacing that in the probability, we get:
[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]
If you want to learn more about probability, you can read:
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find the value of x when y=14. y= -6x+5
Answer:
x = -3/2
Step-by-step explanation:
To find the unknown value, substitute all known values and solve for the one remaining. After substitution, this becomes a 2-step linear equation, so is solved by the procedure for such equations.
y = -6x +5 . . . . . given
14 = -6x +5 . . . . substitute known value
9 = -6x . . . . . . . subtract 5 (step 1)
9/-6 = x = -3/2 . . . . divide by the coefficient of x (step 2);
Hello!
In order to find the value of x, we should take the value of y and plug it in and then simplify.
[tex]\bold{y=-6x+5}[/tex]
Plug in:
[tex]\bold{14=-6x+5}[/tex]
Switch places:
[tex]\bold{-6x+5=14}[/tex]
Now, subtract 5 from both sides:
[tex]\bold{-6x=14-5}[/tex]
[tex]\bold{-6x=9}[/tex]
Divide both sides by -6 in order to isolate x:
[tex]\bold{x=-\displaystyle\frac{9}{6}}[/tex]
Can this fraction be reduced? Sure, we can divide the numerator (9) and the denominator (6) by 3:
[tex]\bold{-\displaystyle\frac{3}{2}}[/tex]
As a Mixed Fraction:
[tex]\bold{1\displaystyle\frac{1}{2}}[/tex]
Hence, the value of x is:
[tex]\huge\boxed{\boxed{\mathfrak{\star{Answer:{\boxed{-\frac{3}{2} }}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
[tex]\rm{A~teen~who~never~gives~up}[/tex]
A hole-punch machine is set to punch a hole 1. 84 centimeters in diameter in a strip of sheet metal in a manufacturing process. The strip of metal is then creased and sent on to the next phase of production, where a metal rod is slipped through the hole. It is important that the hole be punched to the specified diameter of 1. 84 cm. To test punching accuracy, technicians have randomly sampled 12 punched holes and measured the diameters. The data (in centimeters) follow. Use an alpha of. 10 to determine whether the holes are being punched an average of 1. 84 centimeters. Assume the punched holes are normally distributed in the population. 1. 81 1. 89 1. 86 1. 83 1. 85 1. 82 1. 87 1. 85 1. 84 1. 86 1. 88 1. 85
Using the t-distribution, as we have the standard deviation for the sample, it is found that it can be concluded that the holes are being punched an average of 1. 84 cm.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 1.84 cm, that is:
[tex]H_0: \mu = 1.84[/tex]
At the alternative hypothesis, it is tested if the mean is different of 1.84 cm, that is:
[tex]H_1: \mu \neq 1.84[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.Considering the hypothesis and the given sample, it is found that the parameters are as follows:
[tex]\overline{x} = 1.85, \mu = 1.84, s = 0.0235, n = 12[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.85 - 1.84}{\frac{0.0235}{\sqrt{12}}}[/tex]
[tex]t = 1.47[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.1 and 12 - 1 = 11 df, the critical value is of [tex]|t^{\ast}| = 1.7959[/tex]
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and it can be concluded that the holes are being punched an average of 1. 84 cm.
More can be learned about the t-distribution at https://brainly.com/question/16313918
A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?
Answer: 2 units.
Step-by-step explanation: When you graph the points given, it gives you this shape in the image below. The hypotenuse (longest side of triangle) is found by doing the following:
a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.
5^2 + 2^2 = 29.
√ 29 ≈ 5.38, and that is the length of the hypotenuse.
The shortest side is the bottom side, which is 2 units. Therefore, that is your answer.
Let me know if this is right! :)
The population of Hampton was 7,490 people when Malik moved there. Currently it is 10% smaller. What is the current population?
people
Answer:
6741
Step-by-step explanation:
if its 10% smaller you would have to do the original precent, which is 100%, and subtract 10%, (90%) then divide 90 by 100 to get 0.9 and multiply it by the total population, in this case 7,490, and you get your answer. i hope this helps :)