Answers
Answer:
c = 11.46 yd
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ c² = (8.1)² + (8.1)²
→ c² = 65.61 + 65.61
→ c² = 131.22
→ c = √131.22
→ [ c = 11.46 yd ]
Hence, value of c is 11.46 yd.
Related Questions
Which of these strategies would eliminate a variable in the system of equations?
Answers
The strategy which would eliminate a variable in the system of equations is to multiply the top equation by 3 ,multiply the bottom equation by -2 then add the equation and is denoted as option B.
What is Equation?This is a mathematical term which is made up of two expressions and is connected by an equal sign.
In the example given below:
2x + 8y = -3
3x + 6y = -4
We can multiply the top by 3 and the bottom by -2 which will result in:
6x + 24y = -9
-6x - 12y = 8
They are then added to each other to give:
6x - 6x + 24y - 12y = -9+8
12y = -1
y = -1/12
From this we can notice that the variable x was eliminated which is why option B is the correct choice.
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A painter work 7 3/4 hours per hour. How.
many hours does this painter work in 5
days a week
Answers
Answer: 38.75 hours
Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.
Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!
Answer:
38 3/4
Step-by-step explanation:
7 3/4 times 5 =
7 3/4 = 31/4
31/4 times 5 = 155/4
= 38 3/4
What is the value of the product 2/3 x 9/5?
Answers
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} *\frac{9}{5} =\frac{18}{15} =\frac{6}{5}[/tex]
The value of the product of 2/3 × 9/5 is 6/5.
In the given question, we have to attempt fraction multiplication.
For fraction multiplication, we simply multiply the respective numerators and denominators with each other.
Here, in 2/3 × 9/5 ⇒ 18/15 (since 2×9=18) (since 3×5=15)
Now, since we can see that both the numerator and denominator in the solution can get divided by 3, we can simplify the fraction by dividing both the numerator and denominator by 3.
On dividing by 3, we get ⇒ 6/5
So, on multiplying 2/3 and 9/5, we get 18/15 which we later simplify into 6/5.
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15x+12=13x-15
…….?????
Answers
Answer:
x_6x=21_15_3x/. x+6x=21+15+3x
Step-by-step explanation:
A student has these scores on their assignments. The teacher is considering dropping a lowest score. What effect does eliminating the lowest value, 0, from the data set have on the mean and median? 0, 40, 60, 70, 75, 80, 85, 95, 95, 100
Answers
The effect of eliminating the lowest value, 0, from the data set have on the mean and median of the data set is;
There is a difference of 7.5 between the mean without 0 and mean with 0There is a difference of 2.5 between the median without 0 and median with 0What is mean and median?The mean of a given data is the sum of all observations divided by the number of observations
The median of a given set of data refers to the middlemost observation, obtained after arranging the data in ascending or descending order.
Given data:
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
a) Mean without '0' = (40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100) / 9
= 700/9
= 77.777
Median without '0' = 40, 60, 70, 75, 80, 85, 95, 95, 100
= 80
Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100 / 10 = 70
Median with '0' = 0, 40, 60, 70, 75, 80, 85, 95, 95, 100
= (75 + 80) / 2
= 77.5
So therefore,
Difference in mean = Median without '0' - Mean with ' 0'
= 77.77 - 70
= 7.7
Difference in median = Median without '0' - Median with '0'
= 80 - 77.5
= 2.5
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Cant get the right answer
Answers
The expression equates to R = 926.19
What is a equation?
An equation is a relation equating two mathematical expressions. For example -
2x + 4 = 5x + 7
We have -
R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]
We have the following equation -
R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]
R = 21000([0.013/(1.013)²⁰ - 1)
R = 21000([0.013/(1.29475890663 - 1)]
R = 21000(0.0441038411650727)
R = 926.1806644665257
R = 926.19
Therefore, the expression equates to R = 926.19
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Make X
the subject of m=n+x/p
Answers
Answer:
m+n=x/p
p×(m+n)=(x/p)×p
x=pm+pn
a rectangular field measures 90 meters by 162 meters. what will it cost to cover the field with pallets of grass each covering 90 squard yards and costing $213 per pallet
Answers
The cost of covering the field with grass pallets is $40996.58.
Given that the rectangular field measures 90 m and 162 m.
Hence, the area of the field is 90 X 162 m²
The grass pallets are sure in shape with an area covering 90 square yards.
1 m = 1.09 yards
Hence,
1 m² = 1.09² square yards
Hence,
90 X 162 m² = 90 X 162 X 1.09² square yards
Hence the number of pallets to be used is
(90 X 162 X 1.09²) / 90
= 162 X 1.09² pallets.
= 192.4722 pallets.
1 pallet costs $213
Hence,
192.4722 pallets cost
192.4722 X 213
= $40996.58
Therefore we get the cost of covering the field with grass is $40996.58.
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I'll give 45 points and brainiest The coordinates of the vertices of trapezoid EFGH are E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4). The coordinates of the vertices of trapezoid E′F′G′H′ are E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E′F′G′H′?
Responses
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions.
trapezoid E F G H, is congruent to , trapezoid E prime F prime G prime H prime, because you can map , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, by translating it down 2 units and then reflecting it over the , y, -axis, which is a sequence of rigid motions.
Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, .
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
trapezoid E F G H is congruent to trapezoid E prime F prime G prime H prime because you can map trapezoid E F G H to trapezoid E prime F prime G prime H prime by reflecting it across the x -axis and then translating it up 14 units, which is a sequence of rigid motions.,
Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions.
Answers
For the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :
"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"
As given in the question,
Trapezoid EFGH with coordinates of vertices:
E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4).
Trapezoid E'F'G'H' with coordinates of vertices:
E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).
First option is not correct as there is no translation.
Third, Fourth, and Fifth options are not correct as both the trapezoids are not congruent.
Only option second describe it correctly which is:
Both the trapezoid are not congruent as there is no sequence of rigid motion that maps EFGH to E'F'G'H'.
Therefore, for the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :
"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"
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Decide whether events A and B are overlapping or non-overlapping, you roll a red die and a blue die. event a is that you get a sum of 9. event b is that you get a double.() overlapping ()non-overlapping
Answers
Events A and B are non-overlapping. Option(2) is correct.
When two sets A and B have at least one element in common, they are said to be overlapping.
The sets of photographs that don't overlap are the sets where no two pictures (correctly) don't overlap. They are the expansion of the cross-bifix-free sets of strings to two dimensions is called non-overlapping.
A red die and a blue die are rolled.
Assume that Event A is receiving the number 9.
Event B: You receive a double.
Whether events A and B overlap or not is what we want to determine.
When two red dice and two blue dice are thrown, a sample space is then provided by,
S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5),(3,6), (4,1), (4,2), (4,3), (4,4),(4,5),(4,6) (5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2),(6,3)(6,4),(6,5),(6,6)}
The two dice are rolled, and there are a total of 36 outcomes.
n(S)=36
Assume that Event A is receiving the number 9.
The probable results for A = (3,6), (4,5), (5,5), (5,6), (6,3)
And let's say that you receive a double in Event B.
The events that may occur if B=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
We can observe that the two events are distinct from one another since there is no overlap in the potential outcomes of the two events.
Therefore events A and B are non-overlapping
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You and 3 buddies take a job cleaning up your neighbor's garage and he pays you $220. How will you divvy it up so everyone gets an equal share? What percentage is that?
Answers
Answer:73.33
Step-by-step explanation:
The answer is 73.33 because 73.33 multiplied by 3 = 219.99
400 kilometers in 8 hours at a constant speed
Answers
Two parallel lines are cut by a transversal as shown below.
Suppose m2 = 46°. Find m5 and m 27.
Answers
Plot these points of graph f(x)= -(x-5)^2+5 that correspond to x-values 3 and 4. Plot the vertex and reflections of these points in axis
Answers
Answer:
On the attached graph
Step-by-step explanation:
See attached graph
victoria deposited $5000 into a savings account that earns an annual simple interest rate of 0.3%. To the nearest tenth of a year, how long will it take for the account to reach $5500?
Answers
It will take 33.33 years for the account to reach $5500
What is simple interest?
Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.
We know,
Victoria deposited into a savings account $5000
Annual simple interest rate of 0.3%.
Formula of Simple Interest
A = P(1 + rt)
5500 = 5000(1 + 0.003t)
5500 = 5000 + 15t
15t = 500
[tex]t = \frac{500}{15} = 33.33[/tex]
It will take 33.33 years for the account to reach $5500
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Sasha sells t-shirts. Each day she earns a set amount, plus a commission. What kinds of numbers make sense for the domain of this function? Explain your reasoning.
Answers
The domain of the given function is {1, 2, 3, 4, 5} which represents she sells t-shirts.
What are the domain and the range of a set of ordered pairs?The domain of a set of ordered pairs includes all possible x values of a function, and the range includes all possible y values of a set of ordered pairs.
We have been given that Sasha sells t-shirts. Each day she earns a set amount, plus a commission.
The domain of the given function represents she sells t-shirts.
According to the given table, the required domain will be as:
The domain of the given function = {1, 2, 3, 4, 5}.
Therefore, the domain of the given function is {1, 2, 3, 4, 5}.
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a computer store compiled data about the accessories that 500 purchasers of new tablets bought at the same time they bought the tablet. here are the results: 411 bought cases 82 bought an extended warranty 100 bought a dock 57 bought both a dock and a warranty 65 both a case and a warranty 77 bought a case and a dock 48 bought all three accessories 58 bought none of the accessories find the probability that a randomly selected customer bought: a. exactly one of the accessories. b. exactly two of the accessories. c. at least one of the accessories. d. at least two of the accessories. e. at most one of the accessories. f. at most two of the accessories. g. a case or a warranty, but not both, and did not buy a dock. h. a case but neither of the other two accessories. i. a warranty and a dock but not a case.
Answers
The probability that exactly one of the accessories, be 0.678
The probability that exactly two of the accessories, be 0.11
The probability that at least one of the accessories, be 0.884
The probability that at least two accessories, be 0.206
The probability that at most one of the accessories, be 0.794
The probability that at most two of the accessories, be 0.904
The probability that a case or a warranty, but not both be, 0.726
The probability that a case but neither of the other two accessories be, 0.634
The probability that a warranty and a dock but not a case be, 0.018
Given, a computer store compiled data that 500 purchasers of new tablets bought at the same time they bought the tablet.
Let A be the set of purchasers we bought cases,
B be the set of purchasers we bought extended warranty,
C be the set of purchasers we bought dock,
Now, A = 411 , B = 82 , C = 100
also, A∩B = 65 , B∩C = 57 , A∩C = 77 and A∩B∩C = 48 , A'∩B'∩C' = 58
(a) the probability that exactly one of the accessories, be
P(A)-P(A∩B)-P(A∩C)+P(A∩B∩C) + P(B)-P(A∩B)-P(B∩C)+P(A∩B∩C) + P(C)-P(C∩B)-P(A∩C)+P(A∩B∩C) = 411-65-77+48+82-57-65+48+100-57-77+48
= 339/500
= 0.678
(b) the probability that exactly two of the accessories, be
P(A∩B)+P(B∩C)+P(A∩C)-3P(A∩B∩C) = 65+57+77-48-48-48
= 55/500
= 0.11
(c) the probability that at least one of the accessories, be
who bought 1 or 2 or all 3 accessories be,
= 0.678 + 0.11 + 0.096
= 0.884
(d) the probability that at least two accessories, be
who bought 2 or all 3 accessories be,
= 0.11 + 0.096
= 0.206
(e) the probability that at most one of the accessories, be
who bought nothing or one accessories be,
= 0.116 + 0.678
= 0.794
(f) the probability that at most two of the accessories, be
who bought nothing or 1 or 2 accessories be,
= 0.116 + 0.678 + 0.11
= 0.904
(g) the probability that a case or a warranty, but not both
= 0.822 + 0.164 - 0.26
= 0.726
(h) the probability that a case but neither of the other two accessories
= 0.634
(i) the probability that a warranty and a dock but not a case
= 0.018
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A television antenna is 10 feet tall. It has three wires that attach to its top and are anchored 8 feet
from its base. How long is each wire?
Answers
The length of each wire is 12.8 feet
The television antenna makes an angle 90 with the ground
The height of the antenna is 10 feet
The wires are anchored to the base which is 8 feet
We need to calculate the length of the wires
The height of the wire can be calculated by using pythagoras theorem
h² = b² + p²
h² = 8² + 10²
h² = 64 + 100
h = √164
h = 12.8
Therefore, the length of each wire is 12.8 feet
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which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol
Answers
A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.
In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.
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Marsha deposited $5500 into a savings account 4 years ago. The simple interest rate is 5% How much money did Marsha earn earn in interest?
Answers
Marsha deposited $5500 into savings with 5% interest rate
1st year, Marsha will earn : [tex]0.05 \times 5500 = 275[/tex]
2nd year, Marsha will earn: [tex]0.05 \times 5775 = 288.75[/tex]
3rd year, Marsha will earn: [tex]0.05 \times 6063.75 = 303.19[/tex]
4th year, Marsha will earn: [tex]0.05 \times 6366.94 = 318.35[/tex]
Vivian and Kyle each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Vivian has 18 signatures, and Kyle has 14. Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How long will that take? How many signatures will they both have?
Answers
The number of days it take the same number of signature will be 2 days.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Vivian has 18 signatures, and Kyle has 14.
Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.
Now,
Since, Vivian has 18 signatures, and Kyle has 14.
And, Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.
Let number of days it take the same number of signature = x
So, We can formulate;
⇒ 18 + x = 14 + 3x
Solve for x as;
⇒ 18 + x = 14 + 3x
⇒ 18 - 14 = 3x - x
⇒ 4 = 2x
⇒ 2x = 4
⇒ x = 2
Thus, The number of days it take the same number of signature will be 2 days.
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X
y
1
9
2
7
3₂
3
6
4
7
1 -2
a. Graph the points above as a scatter plot.
b. Calculate the correlation coefficient.
8
-5
10
-8
10
X is top y is bottom
Answers
The correlation coefficient of points is a negative correlation.
The given coordinates are (1, 9), (2, 7), (3, 6), (4, 1), (7, -2),(8, -5) and (10, -8).
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
• A scatter plot with increasing values of both variables can be said to have a positive correlation.
• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
The given coordinate points are plotted on graph.
From the graph (scatter plot) we can see that, the points have a negative correlation.
Therefore, the correlation coefficient of points is a negative correlation.
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A cockroach can travel at a speed of 80 centimeters per second. A centipede can travel at 30 meters per
minute. Which can travel faster?
Answers
Answer:
The cockroach is faster
Step-by-step explanation:
a pair of sunglasses is 30% off . what is the new selling price
Answers
Answer:
x=0.3y
Step-by-step explanation:
( x )is new sales price
( y ) is the original price
A restaurant has a 33,500 gallon aquarium and a 500 gallon aquarium. About how many times is the capacity of the smaller aquarium?
Answers
Answer:
67 times
Step-by-step explanation:
33,500 divided by 500 is equivalent to 67
What is the equation of the line that passes through the points (-2, 1) and (6, 3)?
Answers
Answer:
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = [tex]\frac{3-1}{6-(-2)}[/tex] = [tex]\frac{2}{6+2}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 3 - [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of line
Determine the coordinates of the preimage given the image below and the composition of a rotation 180 about the origin and a translation 3
units up.
Answers
The coordinates of the preimage given in the image below and the composition of a rotation 180 about the origin and a translation 3 units up are: (2, -3), (3, 1), and (-5, 0).
What is a rotation?In Geometry, the rotation of a geometric figure 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).
From the graph of the image of triangle A'B'C', we have the following coordinates and they would be reversed to obtain the coordinate of triangle ABC before a translation:
(-x, -y) → (x, y)
Points at A' = (-2, 5) → Points at A = (2, -5)
Points at B' = (-3, 1) → Points at B = (3, -1)
Points at C' = (5, 2) → Points at C = (-5, -2)
Next, we would apply a translation of 3 units up:
Points at A = (2, -5) → (2, -5 + 2) = (2, -3)
Points at B = (3, -1) → (3, -1 + 2) = (3, 1)
Points at C = (-5, -2) → (-5, -2 + 2) = (-5, 0)
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Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How many sweets are there altogether?
Answers
This means there are 20 + 15 + 5 = 40 sweets
A palindrome is a word or number that is the same when read forwards or backwards. For example, DAD is a palindrome, and so is
RACECAR. 484 is a palindrome number, and so is 9229.
What is the sum of a three digit palindrome number that ends in 71 and a four digit palindrome number that ends in 83?
Answers
Answer:
4054
Explanation:
171 is the three-digit palindrome that ends with 71
3883 is the four-digit palindrome that ends with 83
171 + 3883 = 4054