Answers
a^2 + b^2 = c^2
In other words, sum of the squared smaller lengths are equal to the squared of the longest length
15^2 + 17^2 = c^2
225 + 289 = c^2
c^2 = 514
c = square root of 514
= 22.67156
Round it
Solution: 22.7 km
Answer:
22.7 km
Step-by-step explanation:
The Pythagorean Theorem is:
a² + b² = c²
where a and b are legs and c is the hypotenuse.
The hypotenuse is the longest side of a right triangle and can be identified as being across from the right angle. The legs are interchangeable between the variables a and b.
Because it's clear that x is the hypotenuse:
15² + 17² = x²
225 + 289 = x²
514 = x²
√514 = √x²
x = √514
Because we can't simplify √514 anymore, we can keep it as radical 514 or round it:
22.6715681 ≈ 22.7
Related Questions
Question 4 of 15
When asked to find the sum of two mixed numbers with different
denominators, you should before you add.
A. round each fraction
B. find the difference
C. find a common denominator
Answers
When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.
To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.
To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.
After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.
To know more about mixed numbers click here:
https://brainly.com/question/28994473
#SPJ2
Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?
Answers
He ate 19.95 grams of sugar.
3.5 x 5.7 = 19.95
HELPLPLPLP
SOMEONE EXPLAIN
Answers
Answer:
646.0 cm^3
Step-by-step explanation:
The volume of this cube with side length 8 cm is (8 cm)^3, or 512 cm^3.
The volume of the hemisphere (half sphere) is
V = (1/2)(4/3)(pi)(4 cm)^3 (since half of the diameter, 8 cm,
V = (2/3)(3.14)(64 cm^3), or is the radius)
V = 133.86 cm^3, or approximately 133.9 cm^3.
The volume of the entire solid is (512 + 133.9) cm^3, or 646.0 cm^3
Define 1 if EC h(x) 0 if a (a) Show h has discontinuities at each point of C and is continuous at every point of the complement of C. Thus, h is not continuous on an uncount- ably infinite set. (b) Now prove that h is integrable on (0,1).
Answers
Thus, h is not continuous on an uncountably infinite set.
(a) The function h(x) is defined as: h(x) = 1 if x is an element of the set C h(x) = 0 if x is not an element of the set C. The function h has discontinuities at each point of C and is continuous at every point of the complement of C.
Therefore, by the Lebesgue integrability criterion, h is integrable on (0, 1).
(b) Now we have to prove that h is integrable on (0,1). Let C be a countably infinite set, and let E = (0, 1) \ C be the complement of C in (0, 1). Since h is continuous on E, we know that h is integrable on E. Also, h is bounded on (0, 1), since it takes values in the closed interval [0, 1]. Therefore, by the Lebesgue integrability criterion, h is integrable on (0, 1)..The function h(x) is defined as: h(x) = 1 if x is an element of the set C h(x) = 0 if x is not an element of the set C. The function h has discontinuities at each point of C and is continuous at every point of the complement of C. Thus, h is not continuous on an uncountably infinite set.Since h is continuous on E, we know that h is integrable on E. Also, h is bounded on (0, 1), since it takes values in the closed interval [0, 1].
Know more about Lebesgue integrability criterion here:
https://brainly.com/question/32558180
#SPJ11
There are 6 cartons of orange juice in each package shown above. Kelsi paid $10.50 for 6 cartons of orange juice. What is the unit price per carton of orange juice?
A) $1.25 per carton B) $1.60 per carton © $1.75 per carton D) $1.80 per carton
Answers
Answer:
c) 1.75
Step-by-step explanation:
Answer:
1:75
Step-by-step explanation:
"
(a) Show that if Y CZ and Z is bounded in (X,d), then Y is bounded and diam Y < diam Z. (b) Assume Y, Z C (x,d) are bounded. Show that diam(Y UZ) < diam Y + diam Z. (c) If Y C(X,d) is bounded
"
Answers
If Y is a subset of Z and Z is bounded in (X, d), then Y is bounded and the diameter of Y is less than the diameter of Z, and Assuming Y and Z are subsets of (X, d) and both are bounded, the diameter of the union of Y and Z, denoted as Y U Z, is less than the sum of the diameters of Y and Z. If Y is a subset of (X, d) and Y is bounded, the above statements still hold.
(a) If Y is a subset of Z and Z is bounded in (X, d), then Y is bounded and the diameter of Y is less than the diameter of Z.
To show that Y is bounded, we consider that Z is bounded, which means there exists a positive real number M such that for any two points z1 and z2 in Z, the distance between them, d(z1, z2), is less than or equal to M. Since Y is a subset of Z, every point in Y is also a point in Z. Therefore, the distance between any two points in Y, which is a subset of Z, is also less than or equal to M. Thus, Y is bounded.
Now, let's compare the diameters of Y and Z. The diameter of a set is defined as the supremum (least upper bound) of the distances between all pairs of points in the set. Since Y is a subset of Z, the distances between any two points in Y will also be distances between points in Z. Therefore, the diameter of Y cannot exceed the diameter of Z. In other words, diam Y < diam Z.
(b) Assuming Y and Z are subsets of (X, d) and both are bounded, we can show that the diameter of the union of Y and Z, denoted as Y U Z, is less than the sum of the diameters of Y and Z.
To prove this, let's consider two points p1 and p2 in Y U Z. These points can either both belong to Y or both belong to Z, or one point belongs to Y and the other belongs to Z. In any case, the distance between p1 and p2 will be either within Y or within Z, or it will be the sum of distances within Y and Z. In all scenarios, the distance between p1 and p2 will be less than or equal to the sum of the diameters of Y and Z.
Therefore, diam(Y U Z) < diam Y + diam Z.
(c) If Y is a subset of (X, d) and Y is bounded, the above statements still hold. The arguments presented in parts (a) and (b) remain valid regardless of the specific properties of Y as long as it is a subset of the metric space (X, d) and bounded.
To learn more about Unions, visit:
https://brainly.com/question/29870206
#SPJ11
A polynomial of the 5th
degree with a leading coefficient of 7 a and a constant term of 6
Answers
Answer:
7x^5 +6
Step-by-step explanation:
which list shows these numbers in order from least to greatest?
Answers
Answer:
B
Step-by-step explanation:
[tex]\sqrt{9}[/tex] = 3
3[tex]\pi[/tex] = 9.42477
-2.4 = -2.4
-5 = -5
20% = 0.20
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answers
Answer:
The last option is correct
If f(x) = 3x + 2, what is f(5)?
Answers
Hi there!
[tex]\large\boxed{f(5) = 17}}[/tex]
f(x) = 3x + 2, find f(5):
To find f(5), we simply substitute in 5 for x:
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
A small business owner is determining her profit for one month. Her expenses were $230.21 for utilities, $2,679.82 for rent, and $3,975.00 for employee salaries. She made $11,449.27 in sales for the month. What is her profit?
Answers
Her profit would amount to $4564.24 for one month which is determined by subtracting her total expenses from made revenue.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
For the month, she made a revenue of $11,449.27.
To calculate her profit, we have to subtract her total expenses from made revenue.
Her expenses were $230.21 for utilities, $2,679.82 for rent, and $3,975.00 for employee salaries which are given in the question.
Total expenses = 230.21 + 2,679.82 + 3,975.00 = 6885.03
As per the given data, the solution would be:
⇒ Total revenue - Total expenses
⇒ 11,449.27 - 11,449.27
Apply the subtraction operation, and we get
⇒ 4564.24
Therefore, her profit would amount to $4564.24 for one month.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Please say the answer as fast as possible. Your quick response would be highly appreciated. ( also please show the working , you could either type it or send a picture )
Answers
Answer:
Step-by-step explanation:
You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE
Answers
Answer:
DTI ratio in percentage = 30.29%
Step-by-step explanation:
Annual salary = $85,063
This means that gross monthly pay = 85063/12 = $7088.58
Now,
Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147
Debt to income ratio = (2147/7088.58) × 100% = 30.29%
How many possible sandwiches can be made from 3 types of bread, 5 types of cheese, and 6 types of filling, assuming each sandwich is made with 1 type of bread, 1 type of cheese, and 1 filling type?
Answers
Total combinations = each item x each item:
3 breads x 5 cheese x 6 filling = 90 different combinations
A drug store chain provides an app to its customers to track their shopping habits. One statistic the app
tracks is the amount of money the customer saves by purchasing sale items. The company's sales
team pulls data from the previous year for a random sample of 50 customers. They find that the
mean amount of money saved by these customers in the previous year is $154 with a standard
deviation of $26.
(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers
in the previous year by purchasing sale items.
(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of
error. Propose two changes that would decrease the margin of error. What are potential
drawbacks if those changes are implemented?
Answers
Answer:
a) CI ( 99% ) = ( 145,45 : 162,55)
b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
Step-by-step explanation:
a) CI = 99 % α = 1% α = 0,01
From z-table z(c) ≈ - 2,325 |z(c)| ≈ 2,325
CI = ( μ₀ ± z(c) * σ/√n )
CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )
CI = ( 154 - 8,55 ; 154 + 8,55
CI ( 99% ) = ( 145,45 : 162,55)
b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI let´s say to 95 % but in that case
you will increase de error type I
Show that Φ (Phi/fa1) uppercase Φ, lowercase φ or ϕ) is onto and one-to-one
Answers
To show that the function Φ (Phi) is onto and one-to-one, we need to establish two properties:
Onto (Surjective):
For a function to be onto, every element in the range must have a preimage in the domain. In other words, for every y in the range, there must exist an x in the domain such that Φ(x) = y.
One-to-one (Injective):
For a function to be one-to-one, distinct elements in the domain must map to distinct elements in the range. In other words, if Φ(x₁) = Φ(x₂), then x₁ = x₂ Let's proceed to show both properties:
Onto (Surjective):
To show that Φ is onto, we need to demonstrate that for every y in the range of Φ, there exists an x in the domain such that Φ(x) = y.
Assuming that Φ(x) = y, we want to find the preimage x in the domain. However, you didn't provide the specific definition or context of the function Φ. Please provide the definition or specify the nature of the function Φ so that I can continue with the proof.
One-to-one (Injective):
To show that Φ is one-to-one, we need to prove that if Φ(x₁) = Φ(x₂), then x₁ = x₂ for any x₁ and x₂ in the domain.
Again, without the specific definition or context of the function Φ, I cannot proceed with the proof for the one-to-one property. Please provide the necessary information, and I'll be happy to help you further.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ11
universal pet place.
Answers
The theoretical probability of rolling a 6 with a single die is
Answers
Answer:
1/6
Since there are 6 faces and you're asking if 1 face is the probability, the probability is 1/6
A bag of candy costs $3.75. If sales tax is 4% of the cost, HOW MUCH WOULD YOU BE CHARGED IN TAXES?
Answers
Answer:
0.15
Step-by-step explanation:
Brainliest?
Answer:
If a bag of candy costs $3.75 and the sales tax was 4% of the cost, then the amount of tax you would be charged is $.15
Step-by-step explanation:
4% = 0.04
0.04 * 3.75=.15
$.15
hope this helped :)
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answers
Answer:
Venn is the circles and the tree is the green one (ignore the other thing on tree)
Consider the differential equation governing the motion of a block attached to a damped spring given by x¨+x˙+x=0 for a>0 and b>0. Is the equilibrium y globally asymptotically stable?
a) yes
b) no
Answers
Given the differential equation governing the motion of a block attached to a damped spring: x¨+x˙+x=0; a > 0, b > 0.To check if the equilibrium y is globally asymptotically stable or not, we will analyze the differential equation in detail. In the differential equation, x is the displacement of the block from the equilibrium position. When the block is at the equilibrium position, the displacement is zero. The equilibrium solution is x = 0.x¨ + x˙ + x = 0 represents a linear homogeneous differential equation of the second order with constant coefficients. The characteristic equation is r² + r + 1 = 0.
Let's solve the above characteristic equation: r² + r + 1 = 0r = (-b ± sqrt(b² - 4ac))/2a= (-1 ± sqrt(-3))/2As a > 0 and b > 0, r has negative real part. This means the solution of the differential equation is exponentially stable, which means that the system is asymptotically stable. Thus, the equilibrium y is globally asymptotically stable. Hence, the correct option is: a) yes.
To know more about equilibrium, click here:
https://brainly.com/question/30694482
#SPJ11
PLEASE HELP! WILL GIVE BRAINLIEST!!!!
Answers
Answer:
I can't read it
Step-by-step explanation:
WILL GIVE BRAINLIEST!
3. Solve the equation x2 – 2x – 3 = 0 by graphing.
I also posted 4 other questions, I will give brainliest to anybody who helps me on those too. You don’t have to do all just at least one.
Answers
Answer:
x = -1,3 I think
I put it into math day look it up
Roland runs, bikes, and swims 124 hours every month.
How many hours a month does Roland spend swimming?
62 hours per month
24.8 hours per month
37.2 hours per month
Answers
Answer: 62 hours per month
Step-by-step explanation:
If f(x) = 3x5 - 2x3 + 1, then f(-1) = ? A) -250 B) -248 C) -234 D) 0
Answers
Answer: D.0
Step-by-step explanation: i know am right, make me brainliest
What is -3/5 multiplied by 4/7?
Pls show answer with step by step answers explained pls
Answers
Answer:
-12/35
Step-by-step explanation:
-3×4/5×7
-12/35
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m): r = m + 5 r = 4m – 10 Which is the correct method to find Rose's and Milton's ages? Solve m + 5 = 4m – 10 to find the value of m. Solve r + 5 = 4r – 10 to find the value of m. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.
Answers
Answer:
It’s B
Step-by-step explanation:
I did this before and it’s B good luck
PLEASEEE HELP WILL MARK BRAINLIEST HELP QUICK!!
Answers
Answer:
A) y = 2x + 3
Step-by-step explanation:
when x is 2 and y is 7:
y = 2(2) + 3
y = 4 + 3
y = 7
This goes for the other values as well
Answer I think it is A
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
2 x 3 = 6 + 3 = 9
2 x 4 = 8 + 3 = 11
Evaluate the expression: 2y-9 when y = 3
Answers
Answer:
-3
Step-by-step explanation:
2·3-9
6-9 = -3
You start at (8, 0). You move left 8 units. Where do you end?
Answers
Answer:
(0, 0)
Step-by-step explanation:
x = 8 - 8 = 0
y-value remains the same.
Answer: You would move to the origin (0,0)
Step-by-step explanation:
This is because when you move in teh direction of left or right you would utilize the x-axis. Thus, moving over to the left 8 units would lead you to the origin or in other words (0,0).