The length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."
The Pythagorean theorem, which asserts that given a right triangle, the sum of the squares of the two shorter sides (a and b), is equal to the square of the hypotenuse (c), can be used to determine the length of the triangle's hypotenuse (c).
a = 10 feet
b = 20 feet
Using the Pythagorean theorem, we can calculate c as follows:
c^2 = a^2 + b^2
c^2 = 10^2 + 20^2
c^2 = 100 + 400
c^2 = 500
To find c, we take the square root of both sides:
c = √500
c ≈ 22.36
Rounding the answer to the nearest whole number, we get c ≈ 22.
Therefore, the length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."
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1. Mr. Griffith is ordering a whole new set of basketballs for the basketball teams at KIPP Infinity.
Modell's charges $50.50 for shipping and $7 per ball.
Sports Authority charges $18.50 for shipping and $11 per ball.
If he wants to spend as little money as possible, how should Mr. Griffith make a decision about which
company to buy the basketballs from?
To spend less money, it is better to buy from Sports authority if the number of balls are less than 8 and it is better to buy from Modell if the number of of balls are greater than 8
Consider the Modell's charges
The sipping charge = $50.50
The price per ball = $7
Consider the number of balls as x and the total cost y
Then the equation will be
y = 50.50 + 7x
Consider the Sports Authority charges
The shipping charge = $18.50
The price per ball = $11
The equation will be
y = 18.50 + 11x
The shipping charge of Modell is greater than Sports authority, but the cost of the ball of Sports authority is grater than Model. Therefore the total price depends on the number of balls
Consider
18.50 + 11x = 50.50 + 7x
11x - 7x = 50.50 - 18.50
4x = 32
x = 32/4
x = 8
Hence, to spend less money, it is better to buy from Sports authority if the number of balls are less than 8 and it is better to buy from Modell if the number of of balls are greater than 8
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One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
12 and 4
Step-by-step explanation:
it takes 1 minute to bake 6 cookies how many cookies could you bake in 2 minutes
25 POINTS!!
The radius of a circle is 10 feet. What is the angle measure of an arc bounding a sector with area 15 square feet? plz help no one answered the last one
Answer:
no only 13 points
Step-by-step explanation:
can you please help me with this question
bbbbbbbbbbb
bbbbbbbbbbbbb
bbbbbbbbbbb
ohh yea did i mention the answer is b?
Answer:
the answer would be b
good luck!
Find the product and simplify completely. 1 5/8 2 /3/5 MH Enter the number that goes in the green box. Enter
The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.
We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.
Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$
Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
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Find the value of L that Will Maximize the profit Q=L²e^0.01L
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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The Venn diagram below shows information about the number of items in sets T and V.
An item is chosen at random.
Given that P(TIV) = j
The value of x from the venn diagram if P(T | V) = 1/5 is 16
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The venn diagram
From the venn diagram, we have the following probability values
P(T | V) = (x - 4)/(3x + x - 4)
Evaluate the like terms
So, we have
P(T | V) = (x - 4)/(4x - 4)
From the question, we have
P(T | V) = 1/5
This means that
(x - 4)/(4x - 4) = 1/5
When evaluated, we have
x = 16
Hence, the value of x is 16
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Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream
Answer:
0.0625
Step-by-step explanation:
Given that :
Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)
The probability of choosing any particular topping at random from the four is :
Probability = required / total possible outcomes
Hence, P = 1 / 4 = 0.25
Hence, the probability of choosing : getting refried bean and sour cream :
P(refried bean) = 1/4
P(sour cream) = 1/4
P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =
0.0625
Please help, you get 20 points for this!
Answer:
2.15 times or 215%
Step-by-step explanation:
V(Luxor) = (646)² · 350/3
V(Tower) = 290 x 125 x 622
V(Luxor) ÷ V(Tower) = 2.15
answer first three questions for brainliest
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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Mark needs to cut a board to use for a project they board is 12 ft long he first has to cut off 2 1/4 feet from one end of the board he then cuts the remaining section of the board into four equal pieces which equation can be used to determine the length of each equal piece 2 1/4x+ 4 = 12
2 1/4x - 4 = 12, 4x + 2 1/4 = 12, 4x - 2 1/4= 12 what's the answer?
Answer:
a
Step-by-step explanation:
The equation that can be used to determine the length of each equal piece is \(4x + 2\dfrac{1}{4} = 12\) and this can be determined by forming the linear equation.
Given :
Mark needs to cut a board to use for a project.The board is 12 ft long.He first has to cut off 2 1/4 feet from one end of the board.He then cuts the remaining section of the board into four equal pieces.The following steps can be used in order to determine the equation that can be used to determine the length of each equal piece:
Step 1 - The linear equation can be formed in order to determine the equation that can be used to determine the length of each equal piece.
Step 2 - Let the length of one piece be 'x'.
Step 3 - So, the linear equation that represents the total length of the board is:
\(4x + 2\dfrac{1}{4} = 12\)
Therefore, the correct option is C).
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please help me with this thank you
(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.
(10) The slope of a line parallel to this line, y = 10 -8x is -8.
What is the slope of a line perpendicular to the line?The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.
Question 9.
f(x) = 0.75x + 6
where;
0.75 is the slope of the line6 is the interceptThe slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3
Question 10.
For the equation of another line, y = 10 - 8x
The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;
y = 10 - 8x
where;
-8 is the slope10 is the y interceptslope of a line parallel to the line = -8
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ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!
Answer:
B
Step-by-step explanation:
Hmm... I would think it is B...
b^2-4ac is discrimant. It is 0?
What two numbers should be placed in the blanks below so that the difference between the
consecutive numbers is the same?
13,_,_,34
Answer:
20,27
Step-by-step explanation:
let 13,a,b,34 be consecutive numbers.
a=13
l=34
n=4
l=a+(n-1)d
34=13+(4-1)d
34-13=3d
21=3d
d=21/3=7
a=13+7=20
b=20+7=27
Answer:
20, 27
Step-by-step explanation:
The difference 34-13 = 21 must be divided into three equal parts. Each is 21/3 = 7.
The numbers are 13+7 = 20, 20+7 = 27. As a check, 27 +7 = 34
The missing numbers are 20 and 27.
An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction
The basic ratio of minutes of painting to minutes of instruction is 7 : 6
What is the basic ratio of minutes of painting to minutes of instructionFrom the question, we have the following parameters that can be used in our computation:
Painting = 63 minutes
Instruction = 54 minutes
The ratio can be represented as
Ratio = Painting : Instruction
When the given values are substituted in the above equation, we have the following equation
Painting : Instruction = 63 : 54
Simplify
Painting : Instruction = 21 : 18
Simplify
Painting : Instruction = 7 : 6
This ratio cannot be simplified
Hence, the solution is 7 : 6
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The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = $$
x
Answer:
1/5
Step-by-step explanation:
Trust me, ill edit in a picture.
1/5
you can see it in the comments above, plus i go to k12 and this was right.
Anyways, I hope your having a great day and my puppy is cute, he sleeps all the time
|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?
The table that shows the correct t and d values is
Distance Covered (m) Time Taken (hr)
8 6
32 15
How to determine the correct values for t and d?The table of values is given as:
Distance Covered (m) Time Taken (hr)
8 6
16 12
32 15
48 18
The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours
When these values are extracted, we have:
Distance Covered (m) Time Taken (hr)
8 6
32 15
The above represents the table that shows the correct t and d values
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find the values of x and y
The value of x is 1.75 and y is 5. The solution is obtained using properties of congruent triangles.
What is a congruent triangle?
Two triangles that are congruent will have precisely the same three sides and three angles.
The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.
The triangles are congruent by SAS congruency because
AC = CD (Given)
∠ACB = ∠DCE ( Vertically opposite angles)
BC = CE (Given)
Thus, Triangle ABC ≅ Triangle DEC
Since, the triangles are congruent, therefore
⇒AC = CD
⇒4y-6 = 2x+6 ...(1)
Also, BC = CE
⇒3y+1 = 4x
⇒(3y+1)/4 = x ...(2)
Now, substituting the value of x in (1), we get,
⇒4y-6 = 2(3y+1)/4+(6)
⇒4y-6 = (6y+2 +24)/4
⇒16y-24 = 6y+2 +24
⇒10y = 50
⇒y = 5
Now putting the value of y in (2), we get
⇒(3(2)+1)/4 = x
⇒7/4 = x
⇒ x = 1.75
Hence, the value of x is 1.75 and y is 5.
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The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
Step-by-step explanation:
3.6*
It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2
For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.
We get
36 = s^2
Now, we need to get the square root of both sides, which gives us
s = √36 s = 6 cm
Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.
Therefore, the perimeter of the square is 24 cm.
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Six divided by one thirds
Answer:
18/1
Step-by-step explanation:
Answer:
1/2. I think if I'm wrong I'm sorry
19. Identify the wrong statement. A. At equilibrium, the market clears for there is neither burdensome surplus for the suppliers nor inconvenience storage for the buyers. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market. curves in a non- C. Your demand for soap represents the amount that you are willing to buy at all possible prices, citrus paribus. D. If population size for a market decreases, the price of the commodity in that market will fall, citrus paribus. 20. Which of the following is a basic economic question that every economy should try to resolve? What to produce C D B. How to produce 21. One of the following statements commits a post-hoc fallacy A. B. A. C B. Ethiopia is a developing country. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward. Rise in prices leads to fall in quantity demand All of the above. D 22. From the PPF the law of increasing opportunity cost is implied by A. C. The negative slope of the curve The concavity of the curve For whom to produce All of the above. Worksheet-Introduction to Economics D. the menu of alternatives All of the above 2
19. We can see here the wrong statement is:
B. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market.
20. D. All of the above reveals basic economic question that every economy should try to resolve.
21. The statement that commits a post-hoc fallacy is: B. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward.
22. From the PPF the law of increasing opportunity cost is implied by
A. The negative slope of the curve
What is post-hoc fallacy?A logical fallacy known as post hoc occurs when one occurrence is assumed to be the reason for a subsequent event just because it happened earlier (also known as post hoc, ergo propter hoc).
We see here that the given answers above are actually correct.
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Four consecutive odd integers sum to 304. Which integers are they?
Answer:
i would tell you but what are the options if you tell me that ill gladly help you out
Step-by-step explanation:
would it be 25.3 or just 25
40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
Using the distance formula
d = sqrt ( (x2-x1)^2 + ( y2-y1)^2)
sqrt ( (-5-2)^2 + ( -3- -2)^2)
sqrt( ( -7)^2 + ( -3 +2)^2)
sqrt( ( 49 + 1)
sqrt( 50)
7.071067812
To the nearest tenth
7.1
Answer:
7.1 units
Step-by-step explanation:
We can use the distance formula to find the distance between these two points.
The distance formula is:
\(\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\).
x1 is 2, x2 is -5, y1 is -2, and y2 is -3, so we can plug these values into the equation.
\(\sqrt {\left( {2 - (-5) } \right)^2 + \left( {-2 - (-3) } \right)^2 }\\\\\sqrt {7^2 + 1^2}\\\\\sqrt{49+1}\\\\\sqrt{50}\approx7.1\)
Hope this helped!
Solve for n: y=6nx – 10
And how to write the final answer
Answer:
y=6nx-10
y+10=6nx
y+10/6x=n
therefore, n=y+10/6x.
Step-by-step explanation:
A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answer:
No; it will not double the volume of the box
Step-by-step explanation:
The standard deviation of a population is 1.9. What is the margin of error? Enter your answer in the box. ±
The margin of error is defined as follows:
M = 1.9z/sqrt(n).
In which:
z is the critical value.n is the sample size.What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The margin of error is then given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
Missing InformationThe problem is incomplete, hence the general procedure to obtain the sample size was presented.
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Independent Practice: Draw the following angles in standard position.
For each angle, state the quadrant in which the terminal side lies.
a. 309°
b. -220°
C.615°
D.-700°
Answer:
Step-by-step explanation:
C