Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

A: 0
B: 13
C: 8
D:16

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B


Related Questions

if their is a 7% tax on a $15 toy, what is the tax amount

Answers

Answer:

the answer is 1.05

Step-by-step explanation:

n.....

PLEASE ANSWER URGENTLY ILL TRY AND MARK BRAINLIEST

Answers

Answer:

3, text time get a better pic

Step-by-step explanation:

Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child?

Answers

Hope this helps you with your question.

Can somebody help me with this! Please


Answers

Answer:

Step-by-step explanation:

3(x +2 ) = 18     {Use distributive property: a(b +c) =a*b + a*c}

3*x +3*2 = 18

3x + 6 = 18             {Subtract 6 from both sides}

     3x = 18- 6

     3x = 12          {Divide both sides by 3}

       x = 12/3

x = 4

Help me, please !!!!!

Answers

Answer: 100

Hi!

ok so the Pythagorean theorem is

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 8^2+6^2=10[/tex]

so the other side is 10.

the square 8 is 8*8

and square 6 is 6*6

so the other square is 10*10=100.

so the area of the blank square is 100.

Step-by-step explanation:

Can I have brainliest?

Thanks!

Have a nice day!

The math department is putting together an order for new calculators. The
students are asked what model and color they prefer.

Which statement about the students' preferences is true?

Answers

The answer is D because black model A1 are the least wanted

The statement (D) "the fewest students prefer black Model A1 calculators" is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

There is the fewest value is 0.05

More students prefer Model C3 calculators than Model A1 calculators, mathematically,

0.30 > 0.45 (false)

More students prefer black calculators than white calculators, mathematically,

0.35 > 0.65 (false)

Similarly, statement third is also false.

Thus, the statement (D) “the fewest students prefer black Model A1 calculators” is correct.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ5

The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answers

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

solve for x
[tex]\frac{11}{x+5}[/tex] =3

Answers

The answer is X = -4/3
the answer is x= -4/3

Which area on the map benefited MOST from the space program? A) 1 B) 2 C) 3 D) 4 PLSS I NEED A 100!!!!!!! HURRY :[

Answers

Answer:

wheres the pic

Step-by-step explanation:

Need more info to confirm answer

Please help I have been stuck for a while

Answers

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

Noah’s soccer team played 12 games and won 10 of these. The ratio is 10:2 what is the percentage of the game won?

Answers

83%. knskskltntbtntmelapwl

The grades for 200 students at a middle school are represented in the graph below how many more students earned Cs then Ds

Answers

Answer:

B. 60

Step-by-step explanation:

There are a total of 200 students here, and 45% got Cs, to find how many got Cs, multiply 200 by 45%, or 0.45: 200*0.45 = 90, 90 people got Cs.

15%  got Ds, multiply 200 by 15%, or 0.15 to get 30, 30 got Ds

The amount who got Cs minus the amount who got Cs is 90 - 30 = 60, 60 more students got Cs than Ds

Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?

A. 4(178.85)

B. 4(12)(178.85)

C. 4(12)(178.85) − 8000

D. 4(8000)(0.035)

Answers

I think C is your answer

Someone help pleaseUpperbound​

Answers

5 hours I believe ................

An individual head of sprinkling water system covers a circular area of grass with a radius of 25 ft the yard has three sprinkler heads the each cover a circular area with no overlap. What is the approximate total area that will be watered

Answers

Answer:

Answer will be 5890 square feet. Step-by-step explanation: An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. Now 3A = 3×π×625 feet²= 3×3.14×625 = 5887.5 ≈ 5890 square feet.

Step-by-step explanation:

Mark brainiest, thx

help find x pls geometry help plssss

Answers

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

In ΔABC and ΔADC,

AB ≅ AD [Given]

BC ≅ CD [Given]

AC ≅ AC [Reflexive property]

ΔABC ≅ ΔADC [SSS property of congruence]

Therefore, ∠ABC ≅ ∠ADC [CPCTC]

(4x + 13)° = (5x - 15)°

15 + 13 = 5x - 4x

x = 28

Jovan has a credit card with a $1,583 balance his interest rate is 8.8% if he does not pay for 3 years how much interest does

Answers

Answer:

$417.91

Step-by-step explanation:

SOMEONE PLEASEEEE HELPPPP????!!!!

Answers

Answer:

x = 15

y = 25

Step-by-step explanation:

WV = NP

WX = NM

VX = PM

VX/PM = WV/NP

8/20 = 6/x

8x = 120

x = 15

WV/NP = WX/NM

6/15 = 10/y

6y = 150

y = 25

1) A pizza is cut into 4 pieces. Each piece is then cut into 2 pieces. If
each kid gets 4 pieces, how many pizzas are needed for 60 kids?

Answers

Answer: 2 pizzas

Step-by-step explanation: 4 times 4 times 2 is 32. 1/32 divided into 60 to get 2 pizzas

Arrange the numbers in increasing order. -3, +8, -4, +1, -7

Answers

Answer:

-7,-4,-3,+1,+8

Step-by-step explanation:

The bigger the negative number, the less it's worth

Answer:

-7, -4, -3, +1, +8

Step-by-step explanation:

when it comes to negative numbers the larger number is less than the lower number

Find the upper bound for the following length:

A) 18.7cm correct to 1 decimal place.
B) 58.37cm correct to 2 decimal places.

Please help.

Answers

Part A

Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"

Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8

So this means that the largest we can measure is 18.74 and it is the upper bound we're after.

Answer: 18.74 cm

=========================================================

Part B

We use the same idea as part A, but now we're extending out one more decimal place.

We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374

By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm

Answer: 58.374 cm

In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?

Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42

Answers

Answer:

B. 24:42

Step-by-step explanation:

24 boys to 18 girls, total students:

24 + 18 = 42

Ratio of boys to the total number of students:

28 : 42

Correct choice is B

Answer:

Solution given;

girl's=18

boys=24

total no of students=24+18=42

now

the ratio of boys to the total number of students in the class=[tex] \frac{24}{42} [/tex]

=24:42is the required ratio.

If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
getting exactly 2 threes?

Answers

Answer:

The probability of rolling the die once to get a four is 1/6

Step-by-step explanation:

So we do 1/6*1/6*1/6 which is 1/216 since it's combined probabilities

Brainliest?

what is the taxi fare travel Rs.14 in the begining and then after 5 kilometre at the rate of Rs.38 per kilometre​

Answers

the taxi fare travel rs.14=2 kilometer

In PE, a parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet? *

Answers

Answer:

100.48

Step-by-step explanation:

Multiply the radius by 2 to get the circumference. Then multiply by pie, 3.14

Answer:

100.48

Step-by-step explanation:

circumference=3.14 times 16 squared(which means you just do 16 times 16)

256 times 3.14 and you get 100.48

Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.

Answers

The answer is -2/3, hope this helps!

There are 75 energy bars, 35 energy drinks, and 45 bottles of water. Each scout get the same amount of supplies with nine left over, what is the largest possible # of scouts in the troops (LCM)?

Answers

Answer:

See explanation

Step-by-step explanation:

A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same amount of supplies with NONE left over, what is the largest possible # of scouts in the troop

Energy bars = 75

Energy drinks = 35

Bottles of water = 45

75 = 1, 3, 5, 15, 25 and 75

45 = 1, 3, 5, 9, 15, and 45

35 = 1, 5, 7 and 35

The highest common factor of 75, 35 and 45 is 5

Therefore, each scout get

Energy bars = 75/5

= 15 each per scout

Energy drink = 35/5

= 5 each per scout

Bottle water = 45/5

= 9 each per scout

Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?

Answers

36-18=18
ANSWER : C
good luck :)))

The volume V of a cone varies jointly as the area of the base B and the height
h. V = 32 cm, when B = 16 cm2 and h = 6 cm. Identify h when
V = 60 cm3 and B = 20 cm2.

Answers

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.

what is 1+1 just cause

Answers

Answer: 2

Step-by-step explanation:

1+1=2

The Awnser is 2 just cause
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