Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
Answers
The trapezoid is shown in the picture attached.
The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
= (FN × h) / 2
We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.
The area of a parallelogram is given by the formula:
A(KLMF) = b × h
= KF × h
= 10 × h
We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20
Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30
Hence, KN is 30 units long.
Answer:
30
Step-by-step explanation:
Related Questions
of the 34 students in a class there are 2 fewer students with blue eyes than there are with hazel eyes. also there are twice as many students with brown eyes. which of these is either the number of students with blue eyes the number of students with brown eyes or the number of students with hazel eyes. select all that apply.
a.8
b.10
c.12
d.16
e.20
f.34
show work please and will give brainlyist
Answers
Hazel eyes = x
Blue eyes = x - 2
Brown eyes = 2(x - 2)
x + x - 2 + 2x - 4 = 34
4x - 6 = 34
4x = 40
x = 10
Hazel eyes = x = 10
Blue eyes = x - 2 = 8
Brown eyes = 2(x - 2) = 16
Answer: (a) , (b) , (d)
Out of the given options, the number of students with blue eyes, brown eyes, and hazel eyes can be determined using the information provided in the question.
Explanation:Let's assume the number of students with hazel eyes is x. According to the given information, the number of students with blue eyes is 2 less than x, so it is x - 2. Additionally, there are twice as many students with brown eyes, so the number of students with brown eyes is 2x. The total number of students in the class is given as 34, so we can set up an equation:
x + (x - 2) + 2x = 34
Simplifying this equation, we get 4x - 2 = 34. Adding 2 to both sides, we have 4x = 36. Dividing both sides by 4, we find that x = 9.
Therefore, the number of students with blue eyes is 9 - 2 = 7, the number of students with brown eyes is 2(9) = 18, and the number of students with hazel eyes is 9. Thus, the correct options are a. 8, c. 12, and f. 34.
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What is the volume of the trapezoidal right prism?
A.
846 m3
B.
720 m3
C.
423 m3
D.
56 m3
Answers
V = Ab * h
Where,
Ab: base area
h: height
We have then:
Ab = (1/2) * (40 + 7) * (6)
Ab = 141 m ^ 2
Then, replacing we have:
V = (141) * (3)
V = 423 m ^ 3
Answer:
The prism volume is given by:
V = 423 m ^ 3
(40+7) / 2 = 23.5
23.5 x 3 = 70.5
70.5 x 6 = 423 m3
Answer is C
I need help on the first question ( 4 )
Answers
The base is half as long means as height
base = height/2 = 18/2 =9 cm.
Area= base*height = 18*9 =162 cm²
Area=162 cm²
I add 20 to my number and subtract 17 from the new number. the answer is 37. what is my number?
Answers
i have to use 20 characters so i am typing this
can someone help me find the volume
Answers
Hunter used the number sentence 5,329.07 – 4,015.69 = to solve this story problem. A baby blue whale at the aquarium weighs 5,329.07 pounds. A baby humpback whale weighs 4,015.60 pounds. How much lighter is the baby humpback whale than the baby blue whale? Which story problem could also be solved by using the number sentence 5,329.07 – 4,015.69 = ? A. A rancher bought some cattle for $5,329.07. Then she purchased 3 horses for a total of $4,015,69. How much did the rancher spend on all the animals? B. A flatbed truck carried 5,329.07 pounds of hay. The ranch hands unloaded 4,015.69 pounds of hay from the truck. How much hay was left on the truck? C. A rancher paid his ranch hands a total of $5,329.07 for the first week. He paid them $4,015.69 the next week. How much money did the rancher pay his ranch hands in the 2 weeks? D. There is 5,320.07 feet of fence bordering the north part of a ranch. There is 4,015.69 feet of fence bordering the southern part. How many feet of fence borders the ranch altogether? (ANSWER FAST)
Answers
find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3
Answers
1. You have the following expressions shown in the problem above:
(8m^2-6/n+3) + (9m^2-4/n+3)
2. As you can see, they have equal denominators, then you have:
(8m^2-6+ 9m^2-4)/(n+3)
3. Therefore, when you sum, you have the following result:
(17m²-10)/(n+3)
The answer is: (17m²-10)/(n+3)
If a hot air balloon desends at a rate of 320 feet per minute for 3 mins, then what is its total change in altitude>
Answers
change in altitude = (rate) * (time)
Substituting values we have:
change in altitude = (320 feet/minute) * (3 minutes)
change in altitude = 960 feet
Answer:
its total change in altitude is:
960 feet
What is the difference between a uniform and non-uniform probability model. Please help
A. A uniform probability model has outcomes that are all equally likely.
B. A uniform probability model has an even number of outcomes in the sample space. Whereas, a non-uniform probability model has an odd number of outcomes
C. A uniform probability model has an odd number of outcomes in the sample space
D. A uniform probability model has outcomes that are equally likely.
Answers
The oddity or evenness of the sample space has nothing to do with the shape of the distribution, in this case.
The population of Linton is 12 times as great as the population of Elmore the combined population of both towns is 9,646 people what is the population of Linton
Answers
Since that the population of Linton is 12 times as great as the population of Elmore, then it is considered to be "12x".
Since that the sum of both Elmore and Linton is 9.646, then "X + 12x = 9464" x+12x is 13x , so it should be "13x = 9464". Now, it is easy to find the population of Elmore which is 9464 / 13 = 742. Since that the population of Linton is 12 times the population of Elmore, then the population of Linton is "742 * 12 = 8904".
Final answer:
The population of Linton is 8,904 people, calculated by first finding the population of Elmore (x) and using the fact that Linton's population is 12 times that of Elmore's.
Explanation:
The question involves solving a proportion to determine the population of Linton, given that the population of Linton is 12 times as great as the population of Elmore and that their combined population is 9,646 people.
Let the population of Elmore be represented by x. Therefore, the population of Linton, which is 12 times greater than Elmore's, would be 12x. The combined population of Linton and Elmore, which is given as 9,646, can be represented by the equation:
x + 12x = 9,646
Simplify the equation:
13x = 9,646
Now, divide both sides of the equation by 13 to solve for x:
x = 742
Since we are looking for the population of Linton, we multiply x by 12
12 * 742 = 8,904
Therefore, the population of Linton is 8,904 people.
The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been gettin greater. The amounts are normally distributed with a standard deviation of 0.2 ounces.
1. What percent of the time will you get between 5.6 and 6.4 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
2. What percent of the time will you get between 6 ounces and 6.2 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
Answers
#2) B, 34%
Explanation
#1) The mean is 6 and the standard deviation is 0.2. 5.6 is 0.4 away from the mean; 0.4 is 2 standard deviations. 6.4 is 0.4 away from the mean; again, 0.4 is 2 standard deviations.
The empirical rule states that 95% of data will be within 2 standard deviations of the mean, so 95% is our answer.
#2) 6.2 is only 1 standard deviation away from the mean. However, this is only half of the percentage from the empirical rule, since we are only considering numbers larger than the mean. The empirical rule states that 68% of data will fall within 1 standard deviation from the mean, so we have
68/2 = 34%.
The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).
Explanation:The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.
For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).
For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).
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evaluate |3t - n| if t =-3 and n=2
Answers
[tex] |3( - 3) - 2| [/tex]
[tex] | - 9 - 2| [/tex]
[tex] | - 11| [/tex]
[tex]11[/tex]
When t = -3 and n = 2, the value of |3t - n| is 11.
Explanation:To evaluate |3t - n| if t =-3 and n=2, we substitute the given values into the expression.
So, |3t - n| = |3(-3) - 2| = |-9 - 2| = |-11| = 11.
The value of |3t - n| when t = -3 and n=2 is 11.
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help I am stuck on this question
Answers
The appropriate choice is ...
C. (-1.5, -2)
Without graphing estimate the x-intercepts of the graph of f(x)=7x^2+9x+1 to the nearest tenth.
Answers
at x-intercept f(x)=0, thus when f(x)=0
f(x)=7x^2+9x+1
we shall have:
0=7x^2+9x+1
solving the above using quadratic formula the above we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
from the function, a=7, b=9 and c=1
thus plugging the values in the formula we obtain:
x=[-9+/-sqrt(9^2-4(7*1))]/(2*7)
x=[-9+/-sqrt(53)]/14
x=-9/14+√54/14
or
x=-9/14-√54/14
thus the x-intercepts are the values of x
Please help with 5,6,8, and 10
Answers
5x + 5x(1.2)
Simplify to get:
5x + 6x = 11x
6. 7z - 1/3(7z)
Simplify the equation to get:
[tex]7z - \frac{7}{3} z[/tex]
Rewrite as:
[tex] \frac{21}{3}z - \frac{7}{3} z[/tex] and combine like terms to get [tex] \frac{14}{3} z[/tex]
8. [tex] \frac{3}{4}v - 6( \frac{2}{9}y) [/tex]
Rewrite as:
[tex] \frac{3}{4} v - \frac{12}{9}y [/tex]
And simplify to get:
[tex] \frac{3}{4}v - \frac{4}{3}y [/tex]
10. [tex]2x + \frac{2}{3}x + 5 + 11 - x [/tex]
Combine like terms:
[tex]x + \frac{2}{3}x + 16 [/tex] which becomes [tex] \frac{3}{3}x + \frac{2}{3} x + 16 [/tex]
Do it again and get your answer:
[tex] \frac{5}{3}x + 16 [/tex]
write a division equation for the picture
Answers
there isn't a picture but a good division equation would be x divided by y equals z :)
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
The domain of the function is __ ≤ x ≤ ___
I will give brainiest If correct!!!!!!!!!!!
Answers
The height of the dome of the building is given by
[tex] f(x)=2\sqrt{-x^2+10x} [/tex]. The quantity in the square root should be greater than or equal to 0. We need
[tex] -x^2+10x\geq 0\\
x(10-x)\geq 0\\
0\leq x\leq 10 [/tex].
So the domain is [tex] 0\leq x\leq 10 [/tex]
Answer:
0 ≤ x ≤ 10
Step-by-step explanation:
We cannot take the square root of a negative number. This means we cannot use negative numbers in this equation; this means the lower end is 0.
We can only use x values until the value of the negative square is greater than the value of 10 times the x.
10(1) = 10, which is greater than -(1(1)) = -1.
10(2) = 20, which is greater than -(2(2)) = -4.
10(3) = 30, which is greater than -(3(3)) = -9.
10(4) = 40, which is greater than -(4(4)) = -16.
10(5) = 50, which is greater than -(5(5)) = -25.
10(6) = 60, which is greater than -(6(6)) = -36.
10(7) = 70, which is greater than -(7(7)) = -49.
10(8) = 80, which is greater than -(8(8)) = -64.
10(9) = 90, which is greater than -(9(9)) = -81.
10(10) = 100, which is equal to -(10(10)) = -100. This means this is the cutoff point for this function.
Algerbra One Question
Answers
10 points! Please Help!
It's not A. It is in scientific notification.
The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 108 kilometers, and the distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Jupiter from the Sun?
A 6.3 ⋅ 10^1 kilometers
B 6.3 ⋅ 10^8 kilometers
C 7.2 ⋅ 10^8 kilometers
D 7.2 ⋅ 10^9 kilometers
Answers
Answer:
C.) 7.2 x 10^8
Step-by-step explanation:
Jupiter to Sun= 7.8 x 10^8
Saturn to Sun= 1.5 x 10^9
1.5 x 10^9---> 15 x 10^8
(15-7.8) (10^8 - 10^8) =
7.2 x 10^8
Hope it helps!!!!
select all that apply given the points (5,10) and (-4,-8) which of the following are true about the line passing through these points?
Answers
11 more than a number q is negative 15
Answers
work : 11 + q = -15
q = -15 - 11
q = -26
zack flips a coin and rolls number cube with sides labeled 1 to 6 . What is the probability that he gets heads and a number greater than 4
Answers
Hope you understand!
Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into his bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below.
Which model shows the probability of selecting each type of treat from his bag?
Answers
Answer:
D. Swordfish treat: 20%
Lizard Lollies : 50%
Puffer pops: 30%.
Step-by-step explanation:
We are told that Matrix is handing out treats at a local protest to promote his new detective agency.
Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.
We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].
Let us find probability of choosing each type of treat one by one.
[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]
[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]
Therefore, the probability of choosing swordfish treat is 0.20 or 20%.
[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]
Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.
[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]
[tex]\text{Probability of choosing puffer pop}=0.30[/tex]
Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.
Upon looking at our given choices we can see that option D is the correct choice.
Answer: D
Step-by-step explanation:
The width and length of the bulletin board are whole numbers what is the width of the bulletin board if the length is 4 feet
Answers
The width of the bulletin board cannot be determined with the given information, as any whole number could be the width if only the length is known to be 4 feet.
Explanation:The question asks for the width of the bulletin board given that the length is 4 feet, and we are told that both measurements are in whole numbers. Without additional information about the actual measurement of the width or the relation between the length and the width, we cannot determine the width exactly. Since the length is 4 feet, which is a whole number, the width could be any whole number. The width could be the same as the length if the bulletin board is square, or it could be different if the board is rectangular.
Since we know that 1 yard is equivalent to 3 feet, it's relevant when converting between these units of measure, but this information is not directly helpful for determining the width without further details. If we had a ratio, scale factor, or additional information regarding the relationship between the length and width, then we could proceed with a mathematical calculation to find the width. For example, if the bulletin board were to have a given aspect ratio or if the problem stated that the width is a certain multiple of the length, then we could use that information to calculate the width.
The width of the bulletin board is 4 feet.
Explanation:To find the width of the bulletin board, we need to know the scale factor between the length and width. Since the length is given as 4 feet, we can assume that the width is also in feet. Therefore, the width of the bulletin board is also 4 feet.
The probability of drawing a green marble from a marble bag is 40%. What are the odds in favor of drawing a green marble?
A. 5:2
B. 3:2
C. 2:3
D. 2:5
Answers
Option: C is the correct answer:
C. 2:3
Step-by-step explanation:The odds in favor of an outcome is the ratio of number of ways the outcome could occur to the number of ways it could not occur.
Here we are asked to find the odds in favor of drawing a green marble.
Hence, it is the ratio of the number of ways the green marble will come up to the number of ways it could not come up.
The probability of drawing a green marble from a marble bag is 40%.
This means that the probability of not drawing a green marble from the bag is: 60%
( since, 100-40=60)
Hence, the odds in favor is: 40:60
i.e.
4:6=2:3
6xb is less than 12 but greater than 6
Answers
6 < 6b < 12, which can be reduced to 1 < b < 2
how many solutions are in the equation -(4x+7)= - 2+4x
Answers
-(4x + 7) = -2 + 4x
We're trying to solve for "x," so let's first simplify this equation.
**Remember : a negative times a positive is a negative!**
-4x - 28 = -2 + 4x
Now, we need to get "x" onto its own side of the equal sign.
So, let's add 28 to both sides.
-4x - 28 (+28) = -2 + 4x (+28)
Simplify.
-4x = 4x + (28 - 2)
Then, subtract 4x from both sides.
-4x - 4x = (28 - 2)
Simplify!
-8x = 26
Divide both sides by -8.
-8x ÷ -8 = 28 ÷ -8
Simplify.
x = -28/8
Simplify.
x = -14/4
Simplify again.
x = -7/2
So, because x has a solution, this particular equation only has 1 solution!
~Hope I helped~
A juice bar conducted a survey to determine which juice drink its customers prefer. The juice bar selected every 10th customer in 1 week, with 75 customers surveyed in all. The juice bar made a table of the results.
Lemon Lift Power Pear Tangy Apple Wild Berry total
25 17 25 21 75
Which inference can be drawn from this survey?
A.The juice drink that is most popular with customers is Power Pear.
B.The juice drink that is most popular with customers is Wild Berry.
C.The juice drink that is most popular with customers is Lemon Lift.
D. The juice drink that is most popular with customers is Tangy Apple.
Answers
The correct inference that can be drawn from this survey is:
C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.
To determine which juice drink is most popular with customers, we need to find the drink with the highest frequency in the survey results.
From the table, we can see the frequency of each juice drink:
- Lemon Lift: 25
- Power Pear: 17
- Tangy Apple: 25
- Wild Berry: 21
The juice drink with the highest frequency is Lemon Lift and Tangy Apple, both with a frequency of 25.
Therefore, the correct inference that can be drawn from this survey is:
C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.
Find the area. The figure is not drawn to scale
Answers
Answer: The area of the figure is (D) 704 in².
Step-by-step explanation: We are given to find the area of the figure.
We can see that the given figure is a parallelogram with two sets of parallel and congruent sides 22 in and 40 inch. And the height of the parallelogram is 32 in.
The area of a parallelogram with base 'b' units and height 'h' units is given by
[tex]A=b\times h.[/tex]
In the given figure,
base, b = 22 in and height, h = 32 in.
Therefore, the area of the parallelogram is
[tex]A=b\times h=22\times 32=704~\textup{in}^2.[/tex]
Thus, the area f the figure is 704 in².
Option (D) is correct
The parallelogram's area can be found by multiplying the base and height, resulting in 704 in² (option D).
The given figure is a parallelogram with two sets of parallel and congruent sides, measuring 22 inches and 40 inches, and a height of 32 inches. To find the area of the parallelogram, we use the formula A = b * h, where 'b' is the base length and 'h' is the height.
Given:
Base, b = 22 inches
Height, h = 32 inches
Using the formula, the area (A) of the parallelogram is:
A = 22 * 32
A = 704 square inches
So, the area of the figure is 704 square inches. Option (D) is the correct answer.
In conclusion, the parallelogram's area can be found by multiplying the base and height, resulting in 704 in². This confirms that option (D) is the correct answer to the problem.
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Jim’s dog weighs 18 pounds 10 ounces. His cat weighs 6 pounds 3 ounces. How many more ounces does Jim’s dog weigh than his cat? PLEASE HELP HARD!
Answers
convert cat and dog's weights to ounces; multiply dog or cat's weight by
16 ounces per pound and then add the additional ounces each weighs
1 pound= 16 ounces
DOG
= (18 pounds * 16 oz/lb) + 10 ounces
= 288 + 10
= 298 ounces
CAT
= (6 pounds * 16 oz/lb) + 3 ounces
= 96 + 3
= 99 ounces
STEP 2:
subtract the difference in the dog's and cat's weights from step 1
= 298 oz dog - 99 oz cat
= 199 ounces
ANSWER: Jim's dog weighs 199 ounces more than his cat.
Hope this helps! :)