What is the area of the complex shape shown below? Use 3.14 for at and round your answer to the nearest tenth.1581
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The complex shape above has a rectangle and 2 semi circle. so we have to calculate the area of each shape and add them together.
Area of the rectangle
[tex]\begin{gathered} \text{area}=\text{length }\times width \\ \text{area}=15\times8 \\ \text{area}=120units^2 \end{gathered}[/tex]area of the semi circles. Two semi circles makes one circle.
[tex]\begin{gathered} \text{area=}\pi\times r^2 \\ r=\frac{8}{2}=4 \\ \text{area}=3.14\times16=50.24unit^2 \end{gathered}[/tex]Area of the figure = 120 + 50.24 = 170.24 = 170.2 unit square
Related Questions
Evaluate the function.
F(x) = -x^2+9x-17
Find F (-5)
Answers
⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.
[tex]f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87[/tex]
the answer to f(-5) is -87
GOODLUCK!!
If the rate of inflation is 2.8% per year, the future price p(t) ( in dollars ) of a certain item can be modeled by the following exponential function, where t is the number of years from today p(t) = 1200(1.028)tfind the current price of the item and the price 9 years from today. Round your answers to the nearest dollar as necessary. Current price: _$ Price 9 years from today: _$
Answers
If it's 9 years, then you have to replace t = 9 in the expression that models the price. With that we have the price 9 years from today:
[tex]p(t)=1200\cdot1.028^9=1200\cdot1.282=1538.577[/tex]Rounded to the nearest dollar, the price 9 years from today is $1539
And the current price is the first number of the expression: $1200
Hello may i please recieve some assistance on this question? It will be greatly appreciated.
Answers
Answer:
[tex]k\text{ = 10}[/tex]Explanation:
For (x+2) to be a factor of the polynomial, if we set x+2 to 0, then substitute the value for x, we would get 0
Mathematically, we have it that:
[tex]\begin{gathered} x+2\text{ = 0} \\ x\text{ = -2} \end{gathered}[/tex]We can now proceed to substitute -2 into the polynomial as follows:
[tex]\begin{gathered} (-2)^3-6(-2_{})^2-11(-2)+k\text{ = 0} \\ -8-24+22+k\text{ = 0} \\ -32+22+k\text{ = 0} \\ k\text{ = 32-22} \\ k\text{ = 10} \end{gathered}[/tex]Which of the following represents the factorization of the trinomial below?x²+13x-30A. (x-3)(x+10)B. (x-3)(x-10)C. (x-2)(x-15)D. (x-2)(x+15)
Answers
Answer:
D. (x-2) (x+15)
Explanation:
We were given the trinomial:
[tex]x²+13x-30[/tex]We will proceed to factorise as shown below, we have:
[tex]\begin{gathered} x²+13x-30 \\ x²+15x-2x-30 \\ \text{Factoring, we have:} \\ x(x+15)-2(x+15) \\ (x-2)\left(x+15\right) \end{gathered}[/tex]Therefore, the answer is D
Lease TermsCost What is the total costMonthly fee $550of a 36-month leaseDeposit $2,500Registration $300 with the termsand TitleDisposition fee $350 described in the table?Acquisition fee $600A. $21,050B. $19,800C. $23,550D. $24,750
Answers
The different costs given in the table are all one-time payments except the Monthly fee.
The total cost is calculated by getting the sum total of all the different terms involved in the lease terms. Therefore, we have to calculate the cost of the monthly fee over 36 months.
Monthly fee:
[tex]\Rightarrow550\times36=19800[/tex]Total Cost:
The total cost is calculated by adding all the different costs. Therefore, we have:
[tex]\begin{gathered} TC=19800+2500+300+350+600 \\ TC=23550 \end{gathered}[/tex]The correct option is OPTION C
HELP FR QUESTION IS BELOW IF U GET IT CORRECT I GIVE BRAINLIEST
Answers
Considering the given figure of triangle ABC bisected by line BE
m< ABC = 80° 60' = 81°m< FEC = 90° How to determine angle ABC in the triangleinformation gotten from the question
From the question given above, the following data were obtained:
line AB = line BC
line BE median of ABC
m< ABE= 40° 30'
Since line BE is the median of triangle ABC, line BE is the perpendicular bisector and shares the angle into two equal parts.
m< ABE = m< EBC = 40° 30'
m< ABC = m< ABE + m< EBC (adjacent angles)
m< ABC = 40° 30' + 40° 30'
m< ABC = 80° 60'
m< ABC = 81°
line BE is the perpendicular bisector
m< BEC + m< FEC = 180° (supplementary angles)
90° + m< FEC = 180°
m< FEC = 90°
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You have the following question on a survey. "What clubs are you involved in". Youselect every 25th student in all the classes to fill out the survey. Classify this survey Is this a random or non random
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Answer: Random
To answer this question, let us first define what Random Sampling is.
Random Sampling describes when every elemnt in a population has an equal chance of being chosen for the sample.
There are 4 types of Random Sampling, but we are going to focus on one type which is the Systematic Random Sampling.
Systematic Random Sampling is a common technique where sample every kth element. For example, surveying every 100th person that walks in a mall.
Now based on the question, it is stated that "You select every 25th student in all the classes". This is an example of Systematic Random Sampling.
Therefore this survey is classified as Random.
You have two number cubes. One number cube has faces (1,2,2,3,3,4) and the other has faces (1,3,4,5,6,8). You areconsidering a game in which you win 100 tokens If the sum is greater than or equal to 8 but lose 80 tokens If the sum isless than 8. Should you play this game?
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To determine whether or not to play this game, the following steps are necessary:
Step 1: Draw up a table that shows the sum of the outcomes when the two cubes are tossed together, as follows:
The table above shows that there are a total of 36 outcomes when the two cubes are tossed together, and shows the sum of the values on the faces of the cubes for each outcome.
Step 2: Use the values in the table to find the probabiity of obtaining a sum greater than or equal to 8, and the probability of obtaining a sum less than 8, as below:
[tex]\begin{gathered} P(sum\text{ is }\ge8)=\frac{\text{total number of sum values greater than or equal to 8}}{\text{total number of outcomes}} \\ \text{From the table:} \\ \text{total number of sum values greater than or equal to 8 = 15} \\ \text{total number of outcomes = 36} \\ \text{Thus:} \\ P(sum\text{ is }\ge8)=\frac{15}{36} \end{gathered}[/tex]Also:
[tex]\begin{gathered} P(sum\text{ is <}8)=\frac{\text{total number of sum values less than 8}}{\text{total number of outcomes}} \\ \text{From the table:} \\ \text{total number of sum values less than 8 = 21} \\ \text{total number of outcomes = 36} \\ \text{Thus:} \\ P(sum\text{ is <}8)=\frac{\text{2}1}{\text{3}6} \end{gathered}[/tex]Step 3: Compute the expectation, using the probabilities and the tokens to be won or lost, as follows:
[tex]\begin{gathered} \text{Total expectation = (+100 tokens)}\times P(sum\text{ is }\ge8)\text{ + (-80 tokens)}\times P(sum\text{ is <}8) \\ \text{Thus:} \\ \text{Total expectation = (+100 tokens)}\times\frac{15}{38}\text{ + (-80 tokens)}\times\frac{21}{36} \\ \text{Total expectation =}\frac{1500}{38}\text{ + }(\frac{-1680}{36}) \\ \text{Total expectation =}\frac{1500+(-1680)}{38}=\frac{1500-1680}{36}=-\frac{180}{36}=-5 \\ \Rightarrow\text{Total expectation =}-5\text{ tokens} \end{gathered}[/tex]Now, since the total expectation is -5 tokens, it means that 5 tokens will be lost at the end of this game. Now, would you play a game where you get to lose? Certainly not.
The answer is that you should not play this game
Charlotte ran 1.25 miles yesterday. How could we write this distance as a fraction?
Answers
Given that Charlotte ran 1.25 miles, let's represent this distance as a fraction.
To write this as a fraction, we have:
First step:
Divide the decimal by 1
[tex]\frac{1.25}{1}[/tex]Second step:
Multiply the numerator and denominator by 100, because it has 2 decimal places (hundreth)
[tex]\frac{1.25\ast100}{1\ast100}=\frac{125}{100}[/tex]To simplify this, we have:
[tex]\frac{125}{100}=\frac{5}{4}[/tex]ANSWER:
[tex]\frac{125}{100}[/tex]Jackson is trying to find the density, in g/cm³, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct to the nearest mm the width as 16.0 cm, correct to the nearest mm the height as 21.7 cm, correct to the nearest mm He measures the mass as 1970 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy.
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Answer:is tht suga
Step-by-step explanation:
If you solve an equation and you end up with 4=4 that means that there are infinite solutions
Answers
If you solve an equaton and you get with 4=4 that actually means there are infinite solutions, beacuse the result you got is absolutely true.
However, if you get 4=1 or 5=3, that means the equation has no solutions beacuse you got a false resulte.
Therefore, the given statement is true.mitchell drives a taxi cab in new york. he charges people .75 for every mile and $3 upon entering the taxi. which equation best represents this situation?
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The initial condition is $3.
The constant rate of change is 0.75 for every mile.
Based on the given information, we can express the following
[tex]y=0.75x+3[/tex]Where x is miles, and y is the cost.
An employee at a cellphone store makes $15 per hour plus a commission of 2.5%of her sales. This week she sold 40 phones averaging $450 each what is her commission this week
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Total sales = $450*40= $18000
Commision = 18000*0.025 = $450
--------------------------------------------------------------------------------------
Total earnings = 30000 + commision
comission = 4*175000*0.13 = 91000
Total earnings = 30000+91000 = $121000
Given a standard deck of cards (52 cards), what is the probability of drawing the Ace of spades?(Give your answer as a percent, don't forget the %. Round to the nearest whole number if necessary.)
Answers
Given:
A deck of 52 cards is given.
To find- the probability of drawing the Ace of spades.
Explanation-
We know that there are only four aces in a deck.
Every suit has its own ace. Thus, we have one ace of spades.
The probability is given by th ratio of the total number of favorable outcomes to the total possible outcomes.
Mathematically, we get
[tex]\begin{gathered} =\frac{\text{ number of ace of spades}}{total\text{ cards in a deck}} \\ =\frac{1}{52} \\ =0.0192 \end{gathered}[/tex]The probability as a percent will be-
[tex]\begin{gathered} =0.0192\times100 \\ =1.92\text{ \%} \end{gathered}[/tex]Thus, the probability of drawing the Ace of spades is 1.92%.
The answer is 1.92%.
Which of the following absolute value equations has no solutions? ∣∣=0∣∣=2∣∣=−3
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To find out the option in which the absolute value equations has no solutions:
We know that, any absolute value equation is equal to a negative number is no solution.
Because, the absolute value of a number is its distance away from zero.
Hence, ∣∣=−3 is an absolute value equations has no solutions.
how many possible outcomes for rolling two dice for a sum.nkt more than 11
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the odds must be for outcomes less than or equal to 11
the possible combinations of rolling two dice are 36
the chances of getting more than 11 are only two 6 with one die 6 with another and vice versa
then we only have to remove two possibilities
[tex]36-2=34[/tex]there are 34 chances of getting no more than 11
and the probability is
[tex]\begin{gathered} \frac{34}{36} \\ =0.94 \end{gathered}[/tex]and the percentage is
[tex]0.94\times100=94[/tex]What is the slope of the line that passes through the points (1, -9) and (4, -7)?
Write your answer in simplest form.
Answers
Answer:
The slope is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
The two coordinates given: (1, -9) and (4, -7)
-
Let's substitute and solve:
[tex]m = \frac{-7-(-9)}{4-1} \\m = \frac{2}{3}[/tex]
Part A Shaunice, Joshua and Juan ran several laps around the track They recorded some data based on 6 of the laps that they ran The table shows the amount of time that it took Shaunice to complete 6 of the laps that she ran What was the difference between the average pace per la for Shaunice and the average pace per lap for Joshua? Enter your answer in the box Shaunice Time Lap (seconds) 1 68 2 65 seconds per lap 3 65 4 5 6 67 70 Joshua determined his average pace to be 53 seconds per tap.
Answers
The average pace is computed as follows:
[tex]\frac{total\text{ sum of }times}{\text{ number of laps}}[/tex]Replacing with data:
[tex]Shaunice^{\prime}s\text{ average pace per lap=}\frac{68+65+65+64+67+70}{6}=\frac{399}{6}=66.5\text{ seconds}[/tex]The difference between Shaunice's average pace per lap and Joshua's average pace per lap is 66.5 - 63 = 3.5 seconds
If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
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The given sets are
[tex]\begin{gathered} A=\mleft\lbrace s,t,a,r\mright\rbrace \\ B=\mleft\lbrace m,a,t,h\mright\rbrace \end{gathered}[/tex]The given question is
[tex]A\cap B[/tex]This means we need to list the comment elements in both sets
Since the common letters are t and a, then
[tex]A\cap B=\mleft\lbrace a,t\mright\rbrace[/tex]Using a graph below , state the variables and whether each is categorical or quantitative.
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Solution
Quantitative variables are any variables where the data represent amounts (e.g. height, weight, or age).
Categorical variables are any variables where the data represent groups.
Thus,
Variable 1 : Number of cases (Quantitative)
Variable 2: Date of symptom Onset (Categorical)
One number is 5 more than another number. If the sum of the number is 285 find the numbers.
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one number is x
the other one is y=x+5 (Because is five more than the first one)
so the equation will be
x+y=285
x+(x+5)=285
First, we sum like terms
2x+5=285
then we isolate the x
2x=285-5
2x=280
x=280/2
x=140
therefore, one number is 140 and the other number is 145.
y=140+5=145
y=145
Find sec A and sin B to four decimal places
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Answer:
The correct option is the first one:
sec A = 1.3055, s
Use the chart and the dot plot to estimate the mean or average
Answers
The diagram shows a dot plot with a given data set
To estimate the mean, you add up the total score and dividde by the number of scores
Write an Equation and solve.10. If tickets to a concert cost $18. How many tickets can you buy with $150?Let x =EquationX=
Answers
Let x = Number of tickets
So, the equation is
[tex]18x=150[/tex]Solve for x:
[tex]\begin{gathered} \frac{18x}{18}=\frac{150}{18} \\ x=8.33 \end{gathered}[/tex]Answer: x = 8.33
Find the value of this expression if x=-1 and y=9X^2y/-7
Answers
ANSWER
-9/7
EXPLANATION
To find the value of the expression we have to replace x with -1 and y with 9 and solve,
[tex]\frac{(-1)^2\cdot9}{-7}=\frac{1\cdot9}{-7}=-\frac{9}{7}[/tex]Hence, the value of the expression when x = -1 and y = 9 is -9/7.
determine all intervals on which grapph of f is decreasing
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A function decreases on an interval if the function values (y-values) decrease as the input values (x-value) increase over that interval.
For the given function: The next is the interval on which the graph of f is decreasing:
Interval:
[tex]\lbrack0,3\rbrack[/tex]Graph the function Plot any five points on the graph.
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Given the equation,
[tex]y=-\frac{11}{8}x^3[/tex]Let us pick 5 points starting from x = 0 to x = 4
Having picked from point x = 0, let us solve for the corresponding y-values.
When x = 0,
[tex]\begin{gathered} y=-\frac{11}{8}\times0^3=-\frac{11}{8}\times0=0 \\ \therefore y=0 \end{gathered}[/tex]So when x = 0, y = 0
When x = 1
[tex]\begin{gathered} y=-\frac{11}{8}\times1^3=-\frac{11}{8}\times1=-\frac{11}{8}=-1.375 \\ \therefore y=-1.375 \end{gathered}[/tex]So when x = 1, y = -1.375
When x = 2,
[tex]\begin{gathered} y=-\frac{11}{8}\times2^3=-\frac{11}{8}\times8=-11 \\ \therefore y=-11 \end{gathered}[/tex]So when x = 2, y = -11
When x = 3
[tex]\begin{gathered} y=-\frac{11}{8}\times3^3=-\frac{11}{8}\times27=-37.125 \\ \therefore y=-37.125 \end{gathered}[/tex]So when x = 3, y = -37.125
When x = 4
[tex]\begin{gathered} y=-\frac{11}{8}\times4^3=-\frac{11}{8}\times64=-11\times8=-88 \\ \therefore y=-88 \end{gathered}[/tex]So when x = 4, y = -88.
Let us now plot the graph
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Find the slope of the line that passes through (5, 4) and (10, 10).
Cimplify your answer and write it as a proper fraction, improper fraction,
Answers
The slope is the "rise over run" or "change in y-values over the change in x-values."
The change in the y-values is the difference between them:
10 - 4 = 6
Change in y = 6
The change in the x-values is the difference between them:
10 - 5 = 5
Change in x = 5
So, the slope is 6/5 or 1 and 1/5.
How can you tell the degrees of an angle inside a triangle?
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we have that
The sum of the interior angles in any triangle must be equal to 180 degrees
Let
A, B and C the angles in a triangle
If you have
A=30 degrees
B=60 degrees
the angle C is equal to
A+B+C=180
C=180-(A+B)
C=180-(30+60)
C=90 degrees
A rectangle has a length represented by: 3(2m - 5) and a width of 4(3m + 1). Write a simplified expression of the perimeter:
Answers
The simplified expression for the perimeter of the rectangle is 36m - 22.
Given,
The length of the rectangle = 3[2m - 5]
The width of the rectangle = 4[3m + 1]
We have to find the simplified form for the perimeter of the rectangle;
Perimeter of rectangle = 2[length + width]
= 2[ 3[2m - 5] + 4[3m + 1] ]
= 2[6m - 15 + 12m + 4]
= 2[18m - 11]
Perimeter of rectangle = 36m - 22
That is,
The simplified expression for the perimeter of the rectangle is 36m - 22.
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