Triangle A and Triangle B are right triangle. Triangle A ha a height of 8 meter and a bae of 6 meter. Triangle B ha a height that i one unit greater than triangle A and a bae that i one unit le. Part A
What i the meaure of the hypotenue of triangle A? Show your work
Answers
Triangle A and Triangle B are right triangle. Triangle A ha a height of 8 meter and a bae of 6 meter. then The length of one of the legs of the triangle is 10 units.
An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.
First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.
Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.
x² = (6)² + (8)²
x = sqrt ( 36+64)
x = √100
x = 10
Hence, the length of one of the legs of the triangle is 10 units.
To learn more about triangles, visit :
brainly.com/question/2773823
#SPJ4
Related Questions
help me w this pls pls pls
Answers
Answer:
48
Step-by-step explanation:
2500 - 196 = \(x^{2}\)
x = 48
Please mark as brainliest for future answers :)
ework problem 1 in section 1 of chapter 7 of your textbook, about sam's deli, using the following data. assume that each small sandwich uses 5 inches of bread and 4 ounces of meat, and that each large sandwich uses 11 inches of bread and 7 ounces of meat. assume also that the deli has on hand each day 100 feet of bread and 25 pounds of meat. assume also that the profit on each small sandwich is $0.90 and the profit on each large sandwich is $1.50. how many sandwiches of each size should the deli make in order maximize its profit?
Answers
To maximize the profit, Sam's Deli should make 30 small sandwiches and 10 large sandwiches.
Let x be the number of small sandwiches and y be the number of large sandwiches.
1. Convert the given resources into consistent units:
100 feet of bread = 100 * 12 inches = 1200 inches
25 pounds of meat = 25 * 16 ounces = 400 ounces
2. Set up the constraints based on resource availability:
Bread constraint: 5x + 11y ≤ 1200
Meat constraint: 4x + 7y ≤ 400
3. Set up the objective function to maximize profit:
P = 0.90x + 1.50y
4. Solve the constraints for x and y to create a feasible region:
Bread constraint: y ≤ (1200 - 5x) / 11
Meat constraint: y ≤ (400 - 4x) / 7
5. Identify the vertices of the feasible region:
(0,0), (0, 100), (240, 0), and (30, 10)
6. Calculate the profit for each vertex:
P(0,0) = 0
P(0,100) = $150
P(240,0) = $216
P(30,10) = $237
7. Choose the vertex with the highest profit:
The maximum profit occurs when x = 30 and y = 10, which is a profit of $237. Therefore, Sam's Deli should make 30 small sandwiches and 10 large sandwiches to maximize its profit.
To know more about profit visit:
brainly.com/question/29987711
#SPJ11
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answers
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
More on adding polynomials: https://brainly.com/question/30791478
Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
I need help with this homework it’s do today I would appreciate if somebody can help me
Answers
Answer:
A = B (base) x H (height)
A = 55 x 55
A = 3025
Melissa had $20 to purchase candy for a party. She purchased 3.6 pounds of candy that cost $2.50 per pound. How much money does Melissa have remaining after this purchase?
Answers
Answer:
1738
Step-by-step explanation:
Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Melissa had $20 to purchase candy for a party.
She purchased 3.6 pounds of candy that cost $2.50 per pound
Melissa spent 3.6 x $2.50
= 9 on candy.
Subtracting this amount from her initial $20, we get:
$20 - $9 = $11
Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?
Answers
Answer:
Step-by-step explanation:
\(19.8(1.098)(1.051)\approx 22.8 tons\)
Use the predictor-corrector method to solve dy = x² + y²; ; y(1) = 0 dx for y(2) with h = 0.01.
Answers
y(1) equal to zero and x equal to 2, the differential equation dy/dx = x2 + y2 has an approximate solution of y(2) 0.0101005. y(2)_c = y(1) + (0.01/2)*[(12 + 02) + (22 + 0.012)]= 0.0101005.
In numerical analysis, the predictor-corrector method is an important tool for solving ordinary differential equations. It is a combination of two distinct strategies, the corrector and the indicator. The indicator technique uses a limited distinction conspire to predict the value of the dependent variable at the subsequent time step, whereas the corrector strategy uses this anticipated value to correct the indicator's error.
To deal with dy = x2 + y2 using the marker corrector method; When y(1) = 0 dx for y(2) and h = 0,01, we can begin by employing the Euler's technique as the indicator strategy and the adjusted Euler's technique as the corrector strategy. The following is the equation for Euler's method: Coming up next is the way we can decide the anticipated worth of y(2) utilizing this strategy: where f(x,y) = x2 + y2 and y(i+1) = y(i) + h*f(x(i),y(i)).
Utilizing the altered Euler's strategy, we can decide the adjusted worth of y(2) as follows: y(1) + h*f(x(1),y(1)) = 0 + 0.01*(12 + 02) = 0.01 y(i+1) = y(i) + (h/2)*(f(x(i),y(i)) + f(x(i+1,y(i+1)_p) The differential equation dy/dx = x2 + y2 has an approximate solution of y(2) 0.0101005 when y(1) is set to zero and x is set to 2. y(2)_c = y(1) + (0.01/2)*[(12 + 02) + (22 + 0.012)]= 0.0101005.
To know more about differential equations refer to
https://brainly.com/question/25731911
#SPJ11
Rowan has $60. He wants to leave a 20% tip on his restaurant bill. His restaurant bill is $52.22.
Answers
Answer:
Step-by-step explanation:
20% tip on 52.22 is 10.44
52.22*0.2=10.44
I don't think he has enough to do it though
52.22+10.44=62.664
Answer: He doesn't have enough (2.66 dollars short) Max percentage: 14.9%
Step-by-step explanation:
If Rowan has $60 dollars and wants a 20% tip. He would need to multiply the restaurant bill by 6/5, of if easier 120%
$52.22 x 120% = 62.66 dollars.
62.66 - 60 = 2.66. Therefore, Rowan CANNOT pay off a 20% tip and has $2.66 short.
Now, if we wanted to calculate which percent he can pay at max we look at 60/52.22.
This will give us 1.14898. Because of this, we can determine what percent Rowan can pay at max. 1.14898 - 1 = 0.14898.
Therefore, converting to percent, he can pay 14.9%(rounded)
Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.
Answers
Answer:
He has ridden 90 miles
Step-by-step explanation:
7.2 X 12.5 = 90
Which value represents a percentage between 11% and 17%?
Answers
Answer: 0.159
Step-by-step explanation:
0.159
The value of a percentage between 11% and 17% is,
⇒ 0.14
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
To find value of a percentage between 11% and 17%.
Now, We can formulate;
The value of a percentage between 11% and 17% is,
⇒ (11% + 17%) /2
⇒ 28% / 2
⇒ 14%
⇒ 0.14
Thus, The value of a percentage between 11% and 17% is,
⇒ 0.14
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
What is the place value of 7 in 7,000.2
Answers
Answer: The thousands place
Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place
determine the minimum distance (ft) it will take for a driver going at the speed limit to come to stop at the traffic light after the traffic light turns yellow. b) what will be minimum stopping distance if the driver was going at 45 mph (5 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). c) what will be the minimum stopping distance if the driver was going at 50 mph (10 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). g
Answers
The minimum stopping distance is 800 ft.
Part A: The minimum stopping distance for a driver going at the speed limit (40 mph) is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (40 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 800 ft.
Part B: For a driver going at 45 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (45 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 925 ft, which is 15.6% greater than the stopping distance for the speed limit.
Part C: For a driver going at 50 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (50 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 1250 ft, which is 56.3% greater than the stopping distance for the speed limit.
Learn more about equation here:
https://brainly.com/question/29538993
#SPJ4
How many antiderivatives does a function of the form f(x)-xn have when n#O₂?
A) none
B) infinitely many
(C) 1
(D) may vary depending on n
Answers
The function has only one antiderivative.
The given function is f(x) = xⁿ, where n ≠ 0₂.
We are required to find how many antiderivatives does this function has.
Step-by-step explanation:
Let's consider the indefinite integral of f(x):∫xⁿdx
Now, we apply the power rule of integration:∫xⁿdx = xⁿ⁺¹/(n+1) + C where C is the constant of integration.
We can also write the above antiderivative as(1/(n+1))xⁿ⁺¹ + C
From this, we can conclude that a function of the form f(x) = xⁿ has only one antiderivative, and that is given by (1/(n+1))xⁿ⁺¹ + C.
Hence, the correct answer is option (C) 1.
#SPJ11
Let us know more about antiderivative : https://brainly.com/question/28208942.
42minutes:5hours in ratio form
Answers
Answer:
31:150
Step-by-step explanation:
First of all we convert the hours into minutes:
5×60=300
which gets us 42:300, which we can simplify to:
31:150
and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.
Answer:
7:50
Step-by-step explanation:
The ratio:
42 min
-------------- can be rewritten in the equivalent
5 hours
42 min
--------------- = 42/300 = 7/50 or 7:50
300 min
Write a linear equation for the graph
Answers
Answer:
y=-1/2x+0
Step-by-step explanation:
First, find the slope by choosing two points and counting up and over (rise over run). Then, find where the line crosses the y-axis to get the y-intercept.
For the two points, let's choose (0,0) and (-2,1). You can either count up and over to get slope, or you can use the slope formula which is y2-y1/x2-1x.
1-0/-2-0 = -1/2.
Since this line represents a negative slope, your slope is -1/2.
Now, looking at the graph, you can see that the line crosses the y-axis at 0. This is your y-intercept.
Evaluate the following integral using trigonometric substitution. x² dx (225+x²)² What substitution will be the most helpful for evaluating this integral? A. x= 15 sin 0 B. x 15 tan 0 OC. x= 15 sec 0 Rewrite the given integral using this substitution. dx JC de (225+x²)2 (Type an exact answer.) =
Answers
To evaluate the given integral, the most helpful substitution is x = 15 sec θ. The rewritten integral will be dx = 15 sec θ tan θ dθ / (225 + 225 sec² θ)².
In trigonometric substitution, we choose a substitution that simplifies the integral by transforming it into a form that can be easily evaluated using trigonometric identities. In this case, the most helpful substitution is x = 15 sec θ.
To rewrite the integral, we need to express dx in terms of θ. Since x = 15 sec θ, we can differentiate both sides with respect to θ to find dx. The derivative of sec θ is sec θ tan θ, so we have dx = 15 sec θ tan θ dθ.
Substituting this expression for dx and rewriting (225 + x²)² in terms of θ, we obtain:
∫(x² dx) / (225 + x²)² = ∫[(15 sec θ)² (15 sec θ tan θ dθ)] / (225 + (15 sec θ)²)².
Simplifying further, we get:
∫(225 sec² θ tan θ dθ) / (225 + 225 sec² θ)².
This is the rewritten form of the integral using the substitution x = 15 sec θ.
Learn more about trigonometric substitution here:
https://brainly.com/question/32150762
#SPJ11
The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated
Answers
The event for which the probability can be calculated from the two events given is event B.
Given that:
Mean = 2.5 children per family
Standard deviation = 1.3 children per family
Here, for event B, the sample size is going to take 40.
So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.
So, the mean is the same which is 2.5.
The standard deviation can be calculated as 1.3/√40.
So, event B can be calculated for the probability.
Hence the event is event B.
Learn more about Probability here :
https://brainly.com/question/31828911
#SPJ4
The complete question is given below:
The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.
The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?
Help me help me please
Answers
Answer:
x=9.16
Step-by-step explanation:
Cross multiply
Divide 55 by 6
9. List the sides of each triangle in order from shortest to longest.
Answers
Answer:
C, B, A
Step-by-step explanation:
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up bby i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total number of light bulbs that can be expected to last the period of time indicated. Round to the nearest hundredth for percent, if possible.
a. Draw the normal curve
b. What range of hours constitutes 96% of light bulb hours of life?
c. Between 300 and 700 hours
d. Less than 600 hours
Answers
Answer:
5
Step-by-step explanation:
add all and then divide
Work out the median for each group of numbers.
3, 5, 7, 7, 8, 10, 11, 11, 14
10, 11, 13, 14, 16, 18, 20, 20
3, 4, 6, 6, 6, 7, 8, 9, 10
41, 43, 44, 46, 48, 49, 50, 50, 53, 54
Answers
Answer:
its 11.
hope it helps!!
Answer:
1stone is 8
2nd one is 15
3rd one is 6
4th one is 48.5
I RLLY NEED HELP PLA NOWWW
Answers
The surface area of the pyramid is 41. 29 In²
How to determine the surface areaThe formula for determining surface area of a square pyramid is expressed as;
Surface area = a² + 2a \(\sqrt{\frac{a^2}{4 } + h^2\)
Where;
a is the base of the pyramidh is the height of the pyramidSubstitute the values
Surface area = \(4^2 + 2(4) \sqrt{\frac{4^2}{4} } + 6\)
Find the squares
Surface area = \(16 + 8 \sqrt{\frac{16}{4} + 6 }\)
Divide the values
Surface area = 16 + 8√10
Surface area = 16 + 8(31.16)
expand the bracket
Surface area = 16 + 25. 29
Surface area = 41. 29 In²
Hence, the value is 41. 29 In²
Learn more about surface area here:
https://brainly.com/question/16519513
#SPJ1
5) Contains (3,-1) and (6,- 13)
Help please
Answers
Answer:
The slope of the line is -12/3
Step-by-step explanation:
remember, rise over run
My I have brainliest please? :)
Which represents a function?
A {(-2, 1). (0, 2), (1,3), (1.4)}
B {(-1,5),(-1,6). (1,5), (1.6)}
C
{(3, 1). (3. 4). (3.5), (3,9)}
D{(4.8). (5. 1). (7.3).(8.6)}
Need Help ASAP
Answers
Answer:
C
Step-by-step explanation:
Please mark me brainlist
HELP ME
FOR 10 POINTS
Answers
Based on the graph of line R, the values of slope (m) and y-intercept (c) are 5 and -2 respectively.
How to calculate the slope of a line?In order to determine the slope (m) and y-intercept (c) of this line, we would select four (4) points on the graph through which line R passes through to represent a solution.
Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the graph of line R, we have the following points:
Point (x, y) = (0, -2)
Point (x, y) = (1, 3)
Substituting the given points into the formula, we have;
Slope, m = (3 + 2)/(1 - 0)
Slope, m = 5/1
Slope, m = 5
In Mathematics, the y-intercept of any graph generally occurs at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept (c) of this line is given by:
y-intercept (c) = -2.
Read more on y-intercept here: brainly.com/question/19576596
#SPJ1
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
Answers
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
To learn more about the simple random sample
https://brainly.com/question/30391235
#SPJ11
Graph a line with a slope of 4 that contains the point (3,0)
Answers
\(\huge\fbox{Hello\:there!}\)
We are given the slope of the line and a point that it passes through.
So, we can use the Point-Slope Formula:
\(\rm{y-y1=m(x-x1)\)
Where y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate of the line.
Now, plug in the values:
\(\rm{y-0=4(x-3)\)
\(\rm{y-0=4x-12\)
\(\rm{y=4x-12\) (the equation of the line in slope-intercept form)
Now, how to graph it?
First of all, the y-intercept is (0, -12)
Remember, y-intercepts always have an x-coordinate of 0.
Now, 4 is the slope (Rise/Run)
Where Rise is how many units we move up or down, and Run is how many units we move left or right.
In this case, we move 4 up, over 1, up 4, over 1, and so on, until we have a line.
Then all we have to do is take a ruler and connect the points. :)
Hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-Sparkles^**^*^\)
Mr. Garcia deposited $2,500 in a new account at his bank.
The bank pays 6.5% interest compounded annually on this account.
Mr. Garcia makes no additional deposits or withdrawals.
Which amount is closest to the balance of the account at the end of 2 years?
A.$2,513.00
B.$2,662.50
C.$2,835.56
D.$2,825.00
Answers
Answer:
$2,825.00
Step-by-step explanation:
First, I found out what 6.5% of 2,500 is, so 6.5% x 2,500 = 162.5 . Then I did 162.5 x 2, which equals 325. I then added 325 to 2,500 and got 2,825.
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9,3), (-5,7)
Line 2: (-11, 6), (-7, 2)
The slope of line 1 is
The slope of line 2 is
The two lines are
Answers
Answer:
The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1
The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1
Yes, they are perpendicular
Step-by-step explanation:
The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1
The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1
slope 2 = - 1/1 = - 1/slope 1
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
Answers
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
To know more about distribution refer here:
https://brainly.com/question/29664127
#SPJ11