Answer:
width is 25 inches
length is 31 inches
Step-by-step explanation:
We will need the formula for perimeter of a rectangle:
P = 2(l + w)
"l" is length, "w" is width
If the length exceeds the width by 6, then:
l = w + 6 <= Substitute this into the equation
P = 2(l + w)
P = 2(w + 6 + w)
Remember we also know the perimeter is 112:
112 = 2(w + 6 + w)
Collect like terms:
112 = 2(2w + 6)
Start isolating "w" to find width.
56 = 2w + 6 Divided both sides by 2
50 = 2w Subtracted 6 from both sides
25 = w Divided both sides by 2
w = 25 Variable on left for standard formatting
The width is 25 inches.
Find the length using "length exceeds width by 6".
l = w + 6
l = 25 + 6 Substitute the width
l = 31
The length is 31 inches.
∴ The length is 31 inches and the width is 25 inches.
Check your answer with the perimeter formula.
P = 2(l + w)
112 = 2(31 + 25) Substitute all the variables.
112 = 2(56)
112 = 112 Same answer
LS = RS Left side equals right side
The answer is correct.
10. For an art project, Shani cuts a 90°
angle out of a circle. Which fraction
of the circle does she cut out?
Answer:
1/4
Step-by-step explanation:
There are 360 degrees in a circle and we have 90 degrees
90/360 = 1/4
Answer:
1/4
Step-by-step explanation:
There are 360 degrees in a circle.
The part she cut out was 90/360
That can be simplified to 1/4.
Therefore, Shani cut out 1/4 of the circle.
If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is
Answer:
16.97056275
Step-by-step explanation:
12 squared + 12 squared = 288
square root of 288 = 16.97056275
The measure of the hypotenuse of an isosceles triangle with equal sides measureing 12 units is 16.97 units
What is an isosceles triangle?An isosceles triangle is a triangle that has two of its sides equal to each other . The base angle is also equal to each other.
The isosceles triangle is a right triangle. Since, one of the leg is 12 units, the other leg is also 12 units.
Using pythagora's theorem,
c² = a² + b²
c = √12² + 12²
c = √144 + 144
c = √288
c = 16.9705627485
c = 16.97 units
Therefore, the length of the hypotenuse is 16.97 units.
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In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?
Answer:
60°
Step-by-step explanation:
In a circumscribed quadrilateral, opposite angles are supplementary.
x° = 180° -120°
x° = 60°
_____
Derivation of the relationship
Arcs BAD and BCD have a sum of 360°. Arc BAD is twice the measure of angle BCD. Likewise, arc BCD is twice the measure of angle BAD. So, we have ...
2∠BCD +2∠BAD = 360°
∠BCD +∠BAD = 180° . . . . . . divide by 2. This is the relation we used above.
Write the unit rate for 5 revaluations in 50 seconds
The unit rate for 5 revaluations in 50 seconds is 1 revaluation per 10 seconds.
Explanation:To find the unit rate, divide the number of revaluations by the number of seconds. In this case, the unit rate is 5 revaluations per 50 seconds. To simplify this, divide both numbers by 5 to get 1 revaluation per 10 seconds. So, the unit rate is 1 revaluation per 10 seconds.
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Classify the quadrilateral. Then find the value(s) of the variable(s).
Answer:
DStep-by-step explanation:
The shape we see is a kite.
The measures of the triangles must add to 180°.
27 + 90 + x = 180°
117 + x = 180°
x = 63°
3 = 63°
We can also solve for 1 and 2. 2 is a right angle so 90° and 1 is a reflection of the 27° angle on the other side, so it also is 27°.
1 = 27° 2 = 90° 3 = 63°
I'm always happy to help :)
Which set of line segments could create a right triangle? (4 points)
Answer:
The answer is 18, 24, and 30. because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
Step-by-step explanation:
because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
:)
A woman put $580 into a savings account. she used 25% of that amount to take a trip . How much money was used to take the trip?
Answer:
145 dollars
Step-by-step explanation:
Answer: 145
Step-by-step explanation:
bruh literally 580 times 25% on a calc
Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm centimeters?
The lengths of the sides corresponding to DE and DF in triangle ABC are 3.75cm and 5cm respectively as triangles DEF and ABC are similar and their sides are in proportion.
Explanation:Since triangles DEF and ABC are similar, then their corresponding side lengths are proportional. This means the ratio of the lengths of corresponding sides in both triangles remains constant.
Therefore, the lengths of the corresponding sides in triangle ABC will be in the same ratio as that of the sides in triangle DEF. Since we know the lengths of sides DE and DF in triangle DEF are 6cm and 8cm respectively, we can conclude that the lengths of the sides corresponding to DE and DF in triangle ABC will be in the same ratio as 6 and 8.
The ratio of 6 and 8 can be simplified to 3:4. Therefore, given that the length of side EF in triangle ABC is 5cm, we can apply cross-multiplication to find the lengths of the other sides. For example, using the ratio 3:4 to find the length corresponding to DE in triangle ABC, we would get 5/4 * 3 = 3.75cm. Similarly, "for DF we would get 5/4 * 4 = 5cm".
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The lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively.
Since triangle DEF is similar to triangle ABC, the corresponding sides of both triangles are proportional. This means that the ratio of any two corresponding sides in the two triangles will be the same. Let's denote the lengths of the corresponding sides in triangle ABC as follows: side AB corresponds to DE, side BC corresponds to EF, and side AC corresponds to DF.
Given that EF is 5 cm, we can set up the following proportion using the corresponding sides of the two triangles:
[tex]\[\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}\][/tex]
We know the lengths of DE and DF, so we can express the lengths of AB and AC in terms of the lengths of DE and DF, using the proportion:
[tex]\[\frac{6}{AB} = \frac{5}{BC} = \frac{8}{AC}\][/tex]
From the proportion, we can solve for AB and AC:
[tex]\[AB = \frac{6}{5} \times BC\][/tex]
[tex]\[AC = \frac{8}{5} \times BC\][/tex]
Since we do not have the actual length of BC, we cannot determine the exact lengths of AB and AC. However, we can express them in terms of BC, the corresponding side in triangle ABC. If BC is known, we can simply multiply it by the respective ratios to find AB and AC.
In conclusion, the lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively, and the lengths of the corresponding sides AB and AC in triangle ABC can be calculated once the length of BC is known, using the ratios derived from the similarity of the triangles.
Which of the following is true of functions and their inverses?
The inverse of a quadratic function is not a function.
The inverse of a quadratic function is always a function.
The inverse of a linear function is not a function.
The inverse of a linear function is always a function.
The inverse of a quadratic function is not always a function, as it can assign multiple outputs to a single input. Conversely, the inverse of a linear function is always a function because it strictly assigns one output to each input.
Explanation:The presented statements about the nature of functions and their inverses are particularly related to the definition of a function. A function is a rule which assigns to each input exactly one output. Considering this, the inverse of a quadratic function is not always a function because it can assign multiple outputs (y-values) to a single input (x-value). This is why the graph of a quadratic function doesn't pass the 'horizontal line test', which is a criterion for a graph to represent a function.
On the other hand, the inverse of a linear function is indeed always a function. Because a linear function always assigns exactly one output to each input, its inverse will also satisfy the definition of a function.
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What is the parent function of
NEED HELP ASAP!!
A minivan is purchased for $29,248. The value of the vehicle depreciates over time.
Describe the advantages and disadvantages of using a linear function to represent the depreciation of the car over time.
Describe the advantages and disadvantages of using an exponential function to represent the depreciation of the car over time.
The minivan depreciates $3,000 in the first year. Write either a linear or exponential function to represent the value of the car x years after it was sold.
Read another student’s post and comment on it by answering the following questions:
Do you agree or disagree with the advantages and disadvantages stated about the linear function and exponential function? Why do you agree or disagree?
Do you agree with the linear or exponential function created to represent the value of the car x years after it was sold? Why or why not?
Answer:
Hey!
If a car is losing value at a constant rate, then a linear function would work better. For example, say that a car dealership is buying used cars. They will buy it for the asking price, but subtract 500 dollars for each year the car has been in existence. So, if you had a car from 2015 that cost you $2,000, and it's 2018, the dealership would buy it for 2000-(500 * the amount of years it has been since the car was made). Therefore, as 2018-2015=3, we have 2,000-500*3=2,000-1,500=500 as the value of the car after three years, and linear function (in the form of
, with y representing the end cost, b representing the starting cost, m representing the amount the car depreciates in value every year, and x being the amount of years) is 500=(-500*3+2000) in our situation here. Similarly, if the minivan depreciates 3,000 dollars in the first year, based on our knowledge and being forced to use linear function, we can assume that the minivan loses 3,000 dollars every year, making our equation y=(-3000*x)+29,248, with y representing the value of the car at the end, x representing the amount of years, and b representing the starting cost.
However, say that the car loses 50% of its value every year. This means that if you originally bought a car for 2,000 dollars in 2015, in 2016 it would be world 2,000/2=1,000 , 1,000/2=500 the year after that, and so on. We can try to put this into a linear function, but it's hard to put into one equation because we're not subtracting or adding to the cost of the car by a specific amount each year. If we had our equation as y=-0.5*x+2000, this wouldn't work because it's adding to the original amount, not multiplying. However, if we used an exponential equation such as y=b(m^a), with y representing the end cost, b representing the starting cost, m representing the amount multiplied per year, and a representing the amount of years. This works because we start with a value, and multiply it by an amount each year. Since 50%=0.5, we plug that into m to get y=2,000(0.5^a). Therefore, this works really well here. If the minivan were to depreciate by 3,000 every year, starting at $29,248, this means that we first have to find out what we multiply 29,248 by the first year to subtract 3,000. As, after one year, the value is 29,248-3,000=26,248, we have 26,248=29,248(m^1). Therefore, we can divide 29,248 by both sides to get around 0.9 as our answer for m. Thus, our equation is y=29,248(0.9^a). This type of equation would not work if we subtracted an amount every year because we're not multiplying by the same amount then. For example, if a toy was valued at 3$ and gained a value of one dollar every year, we could multiply the toy by 4/3 the first year to get 4, but the next year we wouldn't get 5.
Feel free to ask further questions! :)
Gracie can do a 4-foot long jump. How many jumps will she have to do in order to jump a total of 8 yards?
Pls help will give BRAINLIEST!!!
Answer
I think it would be 8 jumps, might not be correct though.
Step-by-step explanation:
1 yard = 3 foot
There is already 3 foot inside of 4 foot so you just keep adding until you hit 8 yards.
1 Point
The area of a rectangle with width x and length 6x is 6x2. What does the
coefficient 6 mean in terms of the problem?
O
A. The total area of the square is 6.
O
B. The length iş 6.
O
C. The length is 6 times the width.
O
D. The width is 6 times the length.
Answer:
C. The length is 6 times the width.
Step-by-step explanation:
Hope it helps you in your learning process.
Convert the angle 0 = 290° to radians.
Express your answer exactly.
0 =
radians
Answer:
[tex]\frac{290}{180}\pi[/tex]
Step-by-step explanation:
To convert from degrees to radians you multiply by [tex]\frac{\pi}{180}[/tex]
The exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.
How to convert angle from degree to radians?To convert a given angle from degrees to the radians, we will multiply by [tex]\dfrac{\pi }{180}[/tex].
The given degree measure is 290°
Its radian equivalence is
[tex]\dfrac{\pi }{180} \times 290\\ \\= \dfrac{290\pi }{180}[/tex]
Therefore the exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.
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7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *
The probability of first drawing a ball numbered 9 and then drawing a ball numbered 3, with each ball being returned to the box between draws, is 1 in 225.
Explanation:The question is about calculating the probability of two specific events occurring consecutively when drawing billiard balls from a box that contains numbers 1 through 15. We focus on the probability of first drawing a ball numbered 9 and then, after returning it, drawing a ball numbered 3. Since each ball is returned to the box before the next draw, the number of possible outcomes does not change between draws.
For the first draw, the probability of drawing a 9 is 1 out of 15 (since there is one '9' ball and 15 total balls). When the 9 ball is returned, the probability of drawing a 3 on the second draw is also 1 out of 15. Because these two events are independent (the outcome of the second draw does not depend on the outcome of the first), we multiply the probabilities of each event to find the overall probability of both events occurring:
Probability of drawing a 9 and then a 3 = (1/15) * (1/15) = 1/225.
This means there is a 1 in 225 chance of drawing a 9 followed by a 3 when both balls are returned to the box in between draws.
What is the best approximation for the input value when
f(x)=g(x)?
0.0
0.5
1.5
3.0
Answer: C.1.5
This is the correct answer so i hope it helps.
Answer:
C.1.5
just took on eg
Could anyone help me with this? I will mark you as brainliest
Answer:
the right answer is number 7
Answer:
= 7
Step-by-step explanation:
[tex] \frac{ {7}^{8} \times {7}^{3} \times {7}^{4} }{ {7}^{9} \times {7}^{5} } \\ = \frac{ {7}^{8 + 3 + 4} }{ {7}^{9 + 5} } \\ = \frac{ {7}^{15} }{ {7}^{14} } \\ = {7}^{15 - 14} \\ = 7[/tex]
1/2x -2 =3 solve plZ
Answer:
x = 10
Step-by-step explanation:
1/2 x - 2 = 3
1/2 x = 3 + 2
1/2 x = 5
x = 5 / (1/2)
x = 10
Selena spends $53.94 to buy a necklace and a bracelet set for each of her friends. Each necklace cost 9.99, and each bracelet costs 7.99. How many necklace and bracelet sets, s, did selena buy?
Answer:
3 sets
Step-by-step explanation:
each set is 17.98 (adding necklace and bracelet)
Total is 53.94
dividing 53.94 (amount spent) by 17.98 (cost of set)
Results in 3 sets
Answer:
She bought 3 necklace and bracelet sets
If i can be brainliest that would be great
Step-by-step explanation:
Each set contains a necklace and a bracelet
∵ Each necklace cost $9.99
∵ Each bracelet cost $7.99
∴ The cost of one set = (9.99 + 7.99)
∵ She spent on them $53.94
- Add the cost of a necklace and the cost of a bracelet and
multiply the sum by x and then equate the product by 53.94
∴ (9.99 + 7.99)x = 53.94
∴ 17.98 x = 53.94
- Divide both sides by 17.98
∴ x = 3
Truncate the decimal expansion of
6
to find the best approximation.
A) 1.8 <
6
< 1.9
B) 1.80 <
6
< 1.85
C) 1.81 <
6
< 1.82
D) 1.82 <
6
< 1.83
Truncate the decimal expansion of √3.6 is 1.89.
The correct option is A.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
An expression,
decimal number √3.6.
The value of √3.6 = 1.8973.
From the given choices:
It will lie between,
1.8 < √3.6< 1.9
Therefore, 1.8 < √3.6 < 1.9.
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The complete question:
Truncate the decimal expansion of √3.6 to find the best approximation.
A)1.8 < √3.6< 1.9
B)1.80 < √3.6< 1.85
C)1.81 < √3.6< 1.82
D)1.82 < √3.6 < 1.83
James has to fill 40 water bottles for the team. Each bottle holds 500 millimeters of water. How many liters of water does James need in all?
Answer:
20 liters of water
he will need 20 liters of water
Step-by-step explanation:
if james has 40 bottles that hold 500 milliliter then he needs 20,000 milliliters of water or 20 liters. :)
Answer:
Step-by-step explanation:
find the radius of circle j !!
Answer: 5.38
Step-by-step explanation:
a^2+b^2= c^2
4^2+ 3.6^2=c^2
16+ 12.96=c^2
28.96=c^2
Sq rt of 28.96
C= 5.38
Which of the following describes the probability distribution below? A probability distribution is shown. The probability of 1 is 0.75; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0. The mean is greater than the median, and the majority of the data points are to the left of the mean. The mean is greater than the median, and the majority of the data points are to the right of the mean. The median is greater than the mean, and the majority of the data points are to the left of the mean. The median is greater than the mean, and the majority of the data points are to the right of the mean.
Answer:
I also think it is A.
Step-by-step explanation:
This is because the mean will be pulled towards the skewed side. Causing, the mean become greater than the median. Also, most of the Data points are to left side of the graph. Therefore, making the answer A.
Please mark me the brainliest.
The answer choice which describes the probability distribution below is:
The mean is greater than the median, and the majority of the data points are to the left of the meanWhat is Probability Distribution?This refers to the way in which probabilities are distributed over values of a random variable.
With this in mind, we can see that based on the fact that the mean will be pulled towards the skewed side. then there would be a disproportionate value between the mean and the median so that the majority of the data points are to the left of the mean
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Solve the inequality.
y − 3 ≥ −5
Answer:
y≥−2
Step-by-step explanation:
Answer:
y _> -2
Step-by-step explanation:
you add 3 to both sides which leaves you with -2
whats the theoretical probability of rolling a 5 on a normal dice?
Answer:
1/6
Step-by-step explanation:
A "normal" dice is considered to have 6 sides
6 numbers
10/36 = (27.778%)
Hope this helps you !!!!!
Have a nice day/night
The data below shows the scores of some students on a test:
28, 30, 22, 20, 24, 23, 32
Which box plot represents the data?
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores. Correct Answer
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 35. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 26 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 30. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 32. Above the line is written Student Scores.
The graph below shows the function f (x) = StartFraction 5 x + 10 Over x squared + 7 x + 10 EndFraction.
On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5. There is a hole at x = negative 2.
Where is the removable discontinuity of f(x) located?
x = –5
x = 0
x = –2
x = 5
Answer:
The removable discontinuity of f(x) would be located at C: x = –2.
Also, the image linked below has the graph that is associated with this question. The original poster forgot to add that so if you needed to make sure this is the right question, there you go.
This scatterplot and regression line below show the relationship between the average rent for a 111-bedroom apartment in New York and the number of years after the year 200020002000.
The fitted line has a yyy-intercept of 800800800.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
On average, the rent of a 111-bedroom apartment in New York increases by 800800800 dollars each year.
(Choice B)
B
The average rent for a 111-bedroom apartment in New York is approximately 800800800 dollars.
(Choice C)
C
The model indicates that 111-bedroom apartments in New York had an average rent of approximately 800800800 dollars in 201020102010.
(Choice D)
D
The model indicates that 111-bedroom apartments in New York had an average rent of 800800800 dollars in 200020002000.
A graph plots Average rent, in dollars per month, from 0 to 1200, in increments of 100, versus Years after 2000, from 0 to 12, in increments of 2. 14 points rise diagonally in a single file cluster between (0, 800) and (12, 1290). A regression line rises diagonally through the center of the cluster from (0, 800) to (12.5, 1300). All values estimated.
Answer:
D The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
Step-by-step explanation:
The y-axis of the graph represents the year 2000. The value on that axis represents the rent for a 1-bedroom apartment. So, the y-intercept of 800 means ...
1-bedroom apartments in New York had an average rent of 800 dollars in 2000
The best interpretation of this y-intercept is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Thus, y-intercept of y = f(x) is y = f(0)
In this case, x be the number of years after the year 2000.
Then we can show that x = 0, represents the year 2000 itself.
Now, the y-intercept is the value of y when we have x = 0.
So, the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
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HELP ASAP ROCKY!!!!!!
What is the median of the data in this stem-and-leaf plot? 31.0 31.5 32.0 32.5 Untitled Stem and leaf plot. Vertical line separates each stem number from its first leaf number. First row. Stem 2. Leaves 6, 7, 7. Second row. Stem 3. Leaves 0, 2, 3, 3, 4. Third row. Stem 4. Leaves 0, 5. Key. 3 vertical line 0 means 30.
Answer:
32.5
Step-by-step explanation:
there are 4 rows
1 = 3
2 = 5
3 = 2
so there is 10 numbers
We go for the middle number which is 2-3 so the answer must be 32.5.
We know it is between 2-3 as the same as 1-10
1,2,3,4,5, ------ 6,7,8,9,10
So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11 then 11/2 = 5.5 - this means 5.5 = 32.5 as 33 would be the 6.
Answer:
32.5
Step-by-step explanation:
I took the test c:
Help me with number 1 pleaseeeee !!!!!!
Answer:
a
Step-by-step explanation: