Answers
Answer:
40.9 ft
Step-by-step explanation:
The length of the bottom side of the rectangle is the same as the length of the top side of the rectangle.
The perimeter is the sum of the lengths of the sides of the figure. Use only the sides on the outside of the figure.
perimeter = 8 ft + 10 ft + 8.9 ft + 4 ft + 10 ft
perimeter = 40.9 ft
Related Questions
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
please anybody solve this problem step by step as soon as possible
Answers
Answer:
39 pages
Step-by-step explanation:
If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages
Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
Answers
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
For such more questions on conditions
https://brainly.com/question/18395678
#SPJ8
1/2 ∙ 5/8?????????????????????//
Answers
Answer:
5/16
Step-by-step explanation:
1*5=5
2*8= 16
Thus your answer is 5/16
I HOPE THIS HELPS!!!!
You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
Answers
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
To know more about paid refer to:
brainly.com/question/15892492
#SPJ1
Two men are standing on the same side of 100m high tower measure of the angles of elevation of the top of the tower are 20 and 30° respectively. Find the distance between them
Solve with diagram
Answers
Answer:
101.5 m
Step-by-step explanation:
Let man 1 be the man whose angle of elevation is 30°.
Let man 2 be the man whose angle of elevation is 20°.
We can model the given scenario as a right triangle with the height of the tower as the triangle's height (100 m), and the distance between the base of the tower and man 2 as the base of the triangle.
As the angle of elevation for man 1 is greater than the angle of elevation for man 2, the position of man 1 is between the base of the tower and man 2.
Let "a" be the distance between man 1 and the base of the tower.
Let "b" be the distance between man 2 and the base of the tower.
Therefore, we have 2 right triangles (see attached diagram):
Triangle 1 has an angle of elevation of 30°. The side opposite the angle is 100 m and the side adjacent the angle is labelled "a".Triangle 2 has an angle of elevation of 20°. The side opposite the angle is 100 m and the side adjacent the angle is labelled "b".The distance between the two men is b - a.
We can calculate the values of a and b by using the tangent trigonometric ratio, since we have the side opposite the angle and wish to find the side adjacent the angle.
\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)
Using the tan ratio, create an equation for a:
\(\tan 30^{\circ}=\dfrac{100}{a}\)
\(a=\dfrac{100}{\tan 30^{\circ}}\)
Using the tan ratio, create an equation for b:
\(\tan 20^{\circ}=\dfrac{100}{b}\)
\(b=\dfrac{100}{\tan 20^{\circ}}\)
As the distance between the two men is b - a:
\(\begin{aligned}\textsf{Distance between the men}&=b-a\\\\&=\dfrac{100}{\tan 20^{\circ}}-\dfrac{100}{\tan 30^{\circ}}\\\\& = 274.747741...-173.205080...\\\\&=101.542661...\\\\&=101.5\; \sf m\;(nearest\;tenth)\end{aligned}\)
Therefore, the distance between the two men is 101.5 meters, to the nearest tenth.
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
Answers
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
Learn more about equation here:
https://brainly.com/question/29174899
#SPJ8
What is the product of 6\sqrt{8}6 8 and 3\sqrt{24}3 24 in simplest radical form?
Answers
The product of 6√8 and 3√24 in simplest radical form is 144√3
How to determine the productWe can solve this problem by using the distributive property and simplifying the radicals.
6√8 * 3√24 = (6 * 3) * √(8 * 24)
Evaluate the products
6√8 * 3√24 = 18 * √(8 * 24)
Evaluate the products of radicals
6√8 * 3√24 = 18 * √(192)
Simplify the radical
6√8 * 3√24 = 18 * 4 * √12
So, we have
6√8 * 3√24 = 72√12
Now to simplify the radical, we can divide the radicand by the greatest perfect square that is a factor of it.
So, we have
72√12 = 72 * 2 * √3
= 144√3
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Find which are the errors and solve correctly the problem:
Answers
Answer:
\(f^{-1}(y) = \sqrt{x-5}\)
Step-by-step explanation:
You have to switch the f(x) to x and the x's to y's
\(x = y^2 + 5\)
\(\sqrt{x-5} = \sqrt{y^2}\)
\(y = \sqrt{x - 5}\)
6. Explain why (4, 1) is not a solution to the equation y=3x + 1.
Answers
Answer:
x is 4 and y is 1
So we put 3 x 4 + 1
if it's equal 1 (since y is 1)
but in this case it equals 13 so it's wrong
Answer:
see explanation
Step-by-step explanation:
to determine if (4, 1 ) is a solution of the equation, substitute the x and y coordinates into the equation and if both sides are equal then it is a solution.
y = 3(4) + 1 = 12 + 1 = 13 ≠ 1
since y ≠ 13 then (4, 1 ) is not a solution to the equation
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
For more such questions on rank
https://brainly.com/question/28839672
#SPJ8
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Answers
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
To learn more about comparing, visit:
https://brainly.com/question/29467965
#SPJ1
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answers
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
Learn more about distance at:
brainly.com/question/13219835
brainly.com/question/1836777
#LearnwithBrainly
Step-by-step explanation:
What is the double of a hundred?
Answers
Answer:
200
Step-by-step explanation:
100 * 2 = 200
Answer:
200?
Step-by-step explanation:
Or is it something more complicated
You get brainist plz
Answers
Answer:
54
Step-by-step explanation:
54
Identify percent of change. 20 is decreased to 6.
Answers
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
PLEASE HELP ME 53 POINTS + BRAINLIEST
Answers
Answer:
1. (exact): 3π ft, (approx.): 9.4245 ft
2. (exact): 2.25π ft^2, (approx.): 7.068375 ft^2
Step-by-step explanation:
a) We are finding both the exact and approximate distance around the circular fire pit. This means we are finding the circumference of the circle. Let us start off with the equation for the circumference of the circle:
\(2\pi r\)
We also know that the diameter of the circle is 3 ft. A radius is half a diameter, therefore, r = 1.5 ft. Let us now substitute this into the equation above:
\(2\pi *1.5=\\\\3\pi\)
Therefore, the exact distance around the outside of the firepit is 3π ft.
Let us know find the approximate distance by substitute approximately 3.1415 into π. (π≈3.1415):
\(3\pi =\\3*3.1415=\\9.4245\\\)
Therefore, the approximate distance around the outside of the firepit is 9.4245 ft. Please note that you may get a more accurate answer by substituting a π value with more digits.
b) We are now to find how much area the pit covers. This means we should find both the exact and approximate values of the area of the circle. Let us again start off with the equation of area for a circle:
\(\pi r^{2}\)
Now let us substitute the radius, which we have found previously in part a into the equation:
\(\pi * 1.5^{2}=\\2.25\pi \\\)
Therefore, the exact area around the outside of the firepit is 2.25π ft^2.
Let us know find the approximate area by substitute approximately 3.1415 into π. (π≈3.1415):
\(2.25\pi =\\2.25*3.1415=\\7.068375\\\)
Therefore, the approximate area around the outside of the firepit is 7.068375 ft^2. Please note that you may get a more accurate answer by substituting a π value with more digits.
I hope this helps! Please let me know if you have any further questions :)
The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample standard deviation of 0.661. Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is greater than 8.0. What is the t-test statistic for this test
Answers
Answer:
Test statistic
\(t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)
t = 1.076
Step-by-step explanation:
Step(i):-
Given Mean of the Population (μ) = 8.0
Mean of the sample (x⁻) = 8.25
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
Step(ii):-
Null hypothesis : H: (μ) = 8.0
Alternative Hypothesis :H:(μ) > 8.0
Degrees of freedom = n-1 = 8-1=7
Test statistic
\(t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)
\(t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }\)
t = 1.076
Critical value
t₍₇,₀.₀₅₎ = 2.3646
The calculated value t = 1.076 < 2.3646 at 0.05 level of significance
Null hypothesis is accepted
Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0
Find the mean, median, mode, and range of the data set: 8, 6, 7, 5, 6, 2, 5, 9, 9, 4, 5 mean = ____ median = ______ mode = ____ range = ______
Answers
Mode : 5 ( most repeated number)
Range : 7 (largest number-smallest number)
What is the slope intercept form equation that represents the line with a slope of 5 that passes through the point (0,-2)
Answers
Answer:
Step-by-step explanation:
y + 2 = 5(x - 0)
y + 2 = 5x - 0
y = 5x - 2
Answer:
y = 5x - 2
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept is where x = 0, or where the graph crosses the y-axis. Given in the problem, we have that the y-intercept is (0, -2), so b = -2.
We also know the slope is 5.
So, our slope-intercept form is:
y = 5x - 2
~ an aesthetics lover
A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.
Answers
Answer:
100-200 Step-by-step explanation: yes 600 is half the students most of them are going to be in class
Please help me with this. If you show your work I will give brainliest if there are 2 answers
Answers
Work Shown:
450 calories = 20 ounces
450/20 calories = 20/20 ounces ..... divide both sides by 20
22.5 calories = 1 ounce
This smoothie has 22.5 calories per ounce.
Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her allowance every day.
Formulate and then graph the equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, x.
Answers
The equation that models the total amount Anna saves, y, in terms of the number of days she adds to her savings, x, can be represented as y = 2x + 125, where 2x represents the total amount she saves from her allowance and 125 represents the initial amount she saved.
This is a linear equation in slope-intercept form, where the slope of the line is 2, indicating that she saves $2 per day, and the y-intercept is 125, indicating that she had already saved $125 before starting to save from her allowance. To graph this equation, we can plot the y-intercept at (0, 125) and use the slope to find other points on the line. For example, after 5 days, she would have saved y = 2(5) + 125 = 135 dollars, giving us the point (5, 135). Plotting this point and connecting it with the y-intercept will give us a straight-line graph.
Find out more about the equation
brainly.com/question/15258050
#SPJ1
(05.05 MC) The area of a triangle is 24 square Inches. What is the height of the triangle if the base length is 6 inches? (10 points)
1) 4 inches
2) 8 inches
3) 18 inches
4) 20 inches
Answers
Answer:
It’s 8 inches
Step-by-step explanation:
Answer:
8 inches
Step-by-step explanation:
I got it right on my FLVS test :D
After sitting out of a refrigerator for a while, a turkey at room temperature (69°F) is
placed into an oven. The oven temperature is 300°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (T. – T.)e-kt
Tg = the temperature surrounding the object
To = the initial temperature of the object
t= the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 127°F after 3 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5
hours.
Enter only the final temperature into the input box.
Answers
Answer:157
Step-by-step explanation:
Graph the line y-3=-1/3(x+2)
Answers
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln(x), [1, 5]
Answers
Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function
\(f(x)=ln(x)\)
Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
Answers
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
Read more on graphs:
https://brainly.com/question/19040584
#SPJ1
Please help thank you
Answers
Decimal -1.75
-1 3/4 (mixed number)
In order to find the perimeter or area of a figure, all units should be the same ….
A.True
B.False
C.It really doesn't matter
Answers
Answer:
true
Step-by-step explanation:
I searched it up and it said all units have to be same