Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?

Which Relationships Hold True For The Sum Of The Magnitudes Of Vectors U And V, Which Are Perpendicular?

Answers

Answer 1
There are 2 answers: Choice B, Choice D

Why is this? Choice B is true because of the Pythagorean theorem. If vectors u and v are perpendicular, then we can form a rectangle. The diagonals of the rectangle are each of length ||u+v|| units long. From here you can form a right triangle with vector u+v as the hypotenuse. The expression shown in choice B is of the form c = sqrt(a^2+b^2), though with substitutions applied.

Choice D is true because of the triangle inequality theorem. This theorem says that the sum of any two sides of a triangle will always be larger than the third side. Otherwise, a triangle is not possible. I recommend cutting out strips of paper of various lengths and trying it out for yourself.

Choices A and C can be eliminated as they contradict B and D. Choice A contradicts choice D. Choice C contradicts choice B.


Related Questions

hELP MEEEE PLEASE ;C

Answers

i think the answer is y=3x
I got y= 3x because from the origin you go up three and over one, and the y- intercept in 0 so I don’t think you put anything there

a 1/12
b 36/1
c 1/36
d 1/6

Answers

Answer:

c

Step-by-step explanation:

the answer would be c. 1/36

Sharon graphed the formula for converting weight from kilograms to pounds.

A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
A. 20
B.63
C.90
D. 99

Answers

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

On x-axis ⇒ 33 pounds = 15 kilograms

On y-axis ⇒ 88 pounds = 40 kilograms.

Find:

45 kilograms in pounds = ?

Computation:

On x-axis

Weight in pounds = (33 pounds / 15 kilograms)45 kilograms

Weight in pounds = 99 pound

On x-axis

Weight in pounds = (88 pounds / 40 kilograms)45 kilograms

Weight in pounds = 99 pound

Answer:

d or 99

Step-by-step explanation:

i got a 100

Drag and drop the answer into the box to match each multiplication problem.

Answers

Answer:

The first one is 38. Second one is 38,000. Third one is 3.8

Step-by-step explanation:

They are all powers of 10 (10, 100, 1000 etc) each time adding an extra 0. Just move the decimal point over to the right depending on how many 0's the number has. This only works for power of 10s.

Which relation is not a function?

Answers

Answer:

First one

Step-by-step explanation:

Answer:

A. {(9,3),(5,16),(6,8),(9,10),(11,13),(1,7)}

Explanation:

The first option is not a function because a single x-value cannot pair up to more than one y-value. We can see this occur in the ordered pairs below.

(9,3),(9,10)

A right triangle has a hight of 13 cm and a base of 16.4 cm what is the area of the triangle

Answers

Answer:

It would be 213.2

Step-by-step explanation: You multiply 13 and 16.4 to find the area. Let me know if im wrong.

Answer:

106.6 cm

Step-by-step explanation:

I multiplied the two given values and using the formula A=1/2bh I then multiplied it by 1/2 and got 106.6. Hope this helps! If you are still confused, please comment!

the bakers at healthy bakery can make 280 bagels in 2 hours. how many bagels can they make in 15 hours? what was the rate per hour?

Answers

Answer:

In 15 hrs they will make 2100 bagels

Step-by-step explanation:

Step one :

Given that it takes

2hrs to make 280 bagel

Hence in

15 hrs they will make x bagels

by cross multiplication

x= (280*15)/2

x= 4200/2=2100 bagels

x= 2100

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

Answers

Answer:

The 150th person

Step-by-step explanation:

popcorn will be given out 5 times

and the drink 2 times.

30 times 5 equals 150

75 times 2 equals 150

Answer:

The answer I got is The 150th person

100% should be right

Inequality stuff... look at image for the question. An explanation would also be nice, but you can comment it along with the answer.

Will give Brainliest for the correct answer! :]

Answers

Answer:

x>-8

Step-by-step explanation:

When you multiply (or divide) both sides of an inequality by a negative number (in this case -1), you need to flip the inequality symbol. For instance in this case, -x<8 is the same as x>-8. This is because you know that if -x is less than 8, if x is less than -8 then the inequality wouldn't be true any longer. This can be demonstrated with an example: Say that x is -10. -(-10) is 10, and no longer smaller than 8. Therefore, x>-8. Hope this helps!

A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.

Answers

Final answer:

The radius of the base of the vase is 19.5 cm.

Explanation:

To find the radius of the base of the vase, we can use the formula for pressure: pressure = force/area. In this case, the force exerted by the vase on the table is 15 N and the pressure is 700 N/m². Let's assume the base of the vase is a circle. The area of a circle is given by the formula A = π r², where r is the radius of the circle.

So, we can rearrange the formula for pressure to solve for the radius:

r = √(force/pressure) = √(15 N / 700 N/m²) = 0.195 meters.

To convert the radius from meters to centimeters, we multiply by 100: 0.195 meters * 100 = 19.5 centimeters. Hence, the radius of the base of the vase is 19.5 cm.

Final answer:

By applying the pressure formula and solving for the radius, the calculated radius of the base of the vase comes out to be approximately 8.26 cm to two decimal places.

Explanation:

To find the radius of the base of the vase, we need to use the formula for pressure, which is pressure (P) equals force (F) divided by area (A). The formula can be expressed as:

P = F / A

We have been given the pressure and the force, and the area of a circle is equal to π × radius^2 (πr^2). By substituting the known values into the pressure formula and solving for the radius, we get:

700 N/m2 = 15 N / (πr^2)

r^2 = 15 N / (700 N/m^2 × π)

r = √(15 / (700 × π))

Now, calculate the numerical value of the radius:

r = √(15 / (700 × 3.14159))

r ≈ √(0.0068194)

r ≈ 0.082595 cm

To present our answer in centimeters to two decimal places:

r ≈ 8.26 cm

find the value of X​

Answers

Answer:

[tex]x=\sqrt{55}[/tex] (B.)

Step-by-step explanation:

Equation:

[tex]a^{2} +b^{2} = c^{2}[/tex]

[tex](3^{2} )+(x^{2})=(8^{2})[/tex]

[tex]9+x^{2} =64[/tex]

[tex]x^{2} = 55[/tex]

[tex]\sqrt{x^{2} } =\sqrt{55}[/tex]

[tex]x=\sqrt{55}[/tex]

Consider the exponential function
4). What is the value of the growth factor of the function?
COŚ

A. 1/5

B. 1/3

C.5

D.15

Answers

This correct answer is D

What is the difference in the Volume Formula for a prism and a pyramid. *

Answers

Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.

Step-by-step explanation:

i hope this helps

Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x y −2 4 −1 3 0 2 1 1 2 2 3 3 4 4 Which function has the smallest minimum?

Answers

Answer:

All three functions have the same minimum

Step-by-step explanation:

Answer:

All three functions have the same minimum

Step-by-step explanation:

I'm taking the test

A restaurant charged one customer $28.20 for 3 small dishes and 5 large dishes and charged another customer $23.30 for 4 small dishes and 3 large dishes. What will 2 small and 4 large dishes cost?

Answers

Answer:

Let s and l be the price of small and large dishes. The first equation is

While the second equation is

(I assume that you meant "4 small dishes and 3 large dishes")

If we multiply the first equation by 4 and the second by 3 we have

Subtract the two equation and you have

Substitute this value in one of the equation to derive

So, one small dish costs 2.9 and one large dish costs 3.9. This means that 2 small and 4 large dishes cost

Step-by-step explanation: Brainliest Answer Plz

A right triangle has legs that both measure 14 inches. What is the length of its hypotenuse to the nearest whole number?

5 inches
19 inches
20 inches
28 inches

Answers

20 inches!! a^2+b^2=c^2
14^2+14^2=392
square root of 392 is 19.79, round up and you got 20 inches

So, to find this answer, we want to use Pythagorean Theorem!

The formula for this theorem is: a²+b²=c².

· It's important to note that is always your hypotenuse, while a and b are your legs.

So, all we need to do is (1) plug in our values, (2) square them, (3) isolate them, and (4) find the square root of our final number!  

--------------------------------------------------------------------------------------------------------------

14²+14²=c²

14² = 196

We want to isolate our C, but we can't do that with the squared symbol, so in order to remove a squared symbol, we need to square root both sides.

196 = c²

√196 = 14

C = 14

do the ratios 9/6 and 2/1 form a proportion

Answers

Answer:

This is not a proportion

Step-by-step explanation:

Set up a proportion

9/6 = 2/1

Check with cross products

9*1 = 6*2

9 = 12

This is not true so they are not proportional

Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)

Answers

Answer:

A. ( -6, 6, 3)

Step-by-step explanation:

100% correct

25x^2-16=25x2-16 completely factor

Answers

if you were to factor 25x^2-16 that would equal (5x-4)(5x+4)

The cargo loads that Niels transports in his truck have a mean weight of 42,000 lb with a standard
deviation of 1,500 lb.
What will be the mean and standard deviation of the distribution of weights in kilograms?
1 lb approximately equals 0.45 kg.
Choose 1 answer:
A-Mean: 18,900 kg
Standard deviation: 675 kg
B-Mean: 18,900 kg
Standard deviation: 1,500 kg
C-Mean: 42,000 kg
Standard deviation: 675 kg
D-Mean: 42,000 kg
Standard deviation: 1,500 kg

Answers

Answer:A

Step-by-step explanation:multiply 42,000x0.45 and 1,500x0.45!

Final answer:

The mean weight of Niels' cargo loads in kilograms is 18,900 kg and the standard deviation is 675 kg, making the correct answer A.

Explanation:

To convert Niels' cargo loads from pounds to kilograms, we multiply the mean weight and the standard deviation by the conversion factor of 0.45 kg/lb.

The mean weight in kilograms is calculated as follows:

Mean (kg) = 42,000 lb × 0.45 kg/lb = 18,900 kg

The standard deviation in kilograms is calculated as follows:

Standard deviation (kg) = 1,500 lb × 0.45 kg/lb = 675 kg

Therefore, the correct answer is A: Mean: 18,900 kg, Standard deviation: 675 kg.

If a dog is tied to a rope 15 feet long, how can it reach a bone

30 feet away? The rope isn't

T

E - TO - N - -HI-

5.4

13.4

8.6

10.6 1.4

10

Answers

Answer:

The other end of the rope was not tied to anything

Step-by-step explanation:

The dog was tied to a rope of 15 feet  long and the bone was 30 feet away from where he was tied. The rope used to tie the dog is 15 ft long . But the other end of the rope wasn't tied to anything, this simply means the dog can easily approach and get the bone 30 ft away from where it was tied.

The other end of the rope was not tied to anything . This implies that the dog can simply reach the bone without breaking a sweat. The 15 feet rope was only tied to the dog , so it does not stop the dog from reaching a bone that is 30 ft away.

Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a radius of 5 cm and a slant height of 10 cm. One location wants to offer the cones a weekend earlier, so they plan to make the cone-shaped wrappers for first 25 waffle cones sold that Saturday. About how many square cm of wrapper paper will they need?

Answers

Answer:

3927 square cm

Step-by-step explanation:

We want to find the area of the lateral part of the cone with radius 5 and slant height 10. The equation needed is: L = πrl, where r is the radius and l is the slant height. Plug the given values in:

L = πrl

L = π * 5 * 10 = 50π square cm

We want 25 of these, so multiply 50π by 25:

50π * 25 ≈ 3926.99 square cm ≈ 3927 square cm

Answer:

3,925 cm²

Step-by-step explanation:

Wrapper area is equal to the surface area

Curved surface area of one cone:

(pi × r × s)

3.14 × 5 × 10

157

For 25 cones:

25 × 157

3925 cm²

Three pounds of peanuts cost $15.00. How many pounds can you buy for $45.00

Answers

15 divided by 3 equals 5
45 divided by 5 equals 9
so the answer is 9 pounds

This is urgent, please answer!

Two prisms are shown below.

Which statements about the volumes of the prisms are true? Choose all that apply. I’m

Answers

I think it is B and E

A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x,y).
Enter the answer

Answers

Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.

We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be [tex]125x[/tex].

The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be [tex]250y[/tex].

We have been given that one day the spa had 27 customers. We can represent this information in an equation as:

[tex]x+y=27...(1)[/tex]

[tex]y=27-x...(1)[/tex]

Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:

[tex]125x+250y=5250...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]125x+250(27-x)=5250[/tex]

Let us solve for x.

[tex]125x+6750-250x=5250[/tex]

[tex]-125x+6750=5250[/tex]

[tex]-125x+6750-6750=5250-6750[/tex]

[tex]-125x=-1500[/tex]

[tex]\frac{-125x}{-125}=\frac{-1500}{-125}[/tex]

[tex]x=12[/tex]

Upon substituting [tex]x=12[/tex] in equation (1), we will get:

[tex]y=27-12=15[/tex]

Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage  packages that is [tex](12,15)[/tex].

After chamar poured 2 liters of water into a large jug, the jug contained 10 liters of water. How many liters were in the jug to start

Answers

Answer:

8

Step-by-step explanation:

10 - 2 = 8

Answer:

8

Step-by-step explanation:

10-2=8

8 is how many it started with

What’s the diameter of circle 0?

Answers

Answer:

AC

Step-by-step explanation:

A diameter is a straight line passing through the center of the circle.  O is the center of the circle and AC is passing through O.

A right triangle has a height of 27 inches
and a base of 30 inches. What is the area
of the triangle?

Answers

Answer:

405 [tex]inches^{2}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] Base * Height

[tex]\frac{1}{2}[/tex] * 30* 27 = 405 [tex]inches^{2}[/tex]

405 In^2

The formula for area of a triangle is 1/2Bh. One half of the area of the base times height, because base times height is a square and triangles are half a square. Let's solve for the area now.

A=1/2Bh

Plug in our information

A=1/2(30)(27)

Multiply parentheses.

A=1/2(810)

Multiply by 1/2 or divide by two.

A=405


The area of the triangle is 405 inches squared.

Consider the equation y=3x-1. Identify the slope and y-intercept and sketch the graph if you can.

Answers

Answer:

Slope: 3, Y-intercept: -1

Step-by-step explanation:

Remember, the slope is always the number before x in this kind of form. The Y-intercept is when x is 0, so when x = 0, y = -1, and that is the Y-intercept

someone pls help me with this

Answers

Answer:

0.75 packs of paper

Step-by-step explanation:

9 packs of paper divided evenly to 12 students:

9 divided by 12 = .75

Hope this helps!!

Other Questions
HELP ASAP!!! Can The Corona Virus cause long term damage ? If so how? In England,mass is measured in units called stones, one pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds does the cat weigh? How are hookworms transmitted?A.by ticks and fleasB. by contaminated waterC.by air dispersalD. by skin contactE. by mosquitoes Explain how leaders supported writers. What are some of the human activities that threaten the world's largest surviving regions of rainforest? (Site 1) What is the molarity of a hydrochloric acid solution, HCl (aq), if 30.00 mL of the solution is required to completely react with 25.00 mL of a 0.200 M magnesium hydroxide solution, Mg(OH)2 (aq)? Be sure to write out the balanced chemical reaction between these two compounds. 1. Use the diagrams to compare the two sectors. Select the correct answer A. Region A is largerB. Region B is largerC. Areas are the same for bothD. Not enough information The Jones family has saved a maximumof $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel75075 + 125h Write the chemical reaction for nitrous acid in water, whose equilibrium constant is K a . Include the physical states for each species. K a reaction: Write the chemical reaction for the nitrite ion in water, whose equilibrium constant is K b . Include the physical states for each species. TJ started picking on Kyle in fifth grade by calling Kyle names, threatening and teasing. Kyle asked TJ to stop, but that just made it worse. Kyle lost self-confidence and became a loner.Group of answer choicesphysicalemotionalverbalcyber Who wrote Uncle Tom's Cabin ? A) Sojourner Truth B) Stephen Douglas C) David Potter D) Harriet Beecher Stowe Retigeranic Acid II: The Endgame. This question deals with transformations that were employed in the last few steps of a total synthesis of Retigeranic Acid. (a) Provide reagents that will accomplish the transformation of molecule 6 to molecule 7. (b) Draw the mechanism of the transformation of molecule 7 to molecule 8 when treated with sodium hydroxide in water. (It is ok to abbreviate parts of the molecule not involved in the reaction to make drawing a little easier). Which phrases describe all the outer planets motion? Select two optionsno rotationfast rotationLAHslow revolutionopposite revolution why are turtles important in indigenous beliefs? your own words pls :) 3. What exactly is Keegan's "card"? What do you want your "card" to say? * - Vous avez des stylos, Serge et Pamla?- Non, _____What do I say? PLEASE HELP ASAPwhat is the slope of the line? Are the two triangles below similar? State of Matter Chemistry TESTThe temperature of the water started rising only when:Othere was steam coming off the water in the beaker.Othere was only water in the beaker.theres was ice mixed with the water in the beaker. mensaje en clave que Daniel Defoe habra mandado a alguno de sus amigos desde la prisin. Steam Workshop Downloader