Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answers
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
Related Questions
Gretchen measured the length of her toaster, to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found it measured 9 1/4 inches. Who used a more precise measurement?
Answers
Hope this helps :D
7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?
Answers
14,400/2,400
= 6
Which is a lot of books to check out from a school, but real life math problems has no logic.
Please please give the answer fast
Answers
Answer:
169
Step-by-step explanation:
27 + 22 + 98 + 22 = 169
1. The drama club sells 200 pounds of fruit to raise money. The fruit is sold in
5-pound bags and 10-pound bags,
a. Write an equation to find the number of
each type of bag that the club should sell
.
Answers
I got the wrong answer. I don't want to keep this up just in case anyone needs the answer to this question again. But I can't delete my answer so I'll just leave this. Have a nice day tho. Sorry about that :(
What is the equivalent radian measure of 600?
Answers
Answer:
[tex] = \frac{ \theta}{180} \times \pi \\ = \frac{600}{180} \times \pi \\ = \frac{10}{3} \pi[/tex]
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answers
Answer:
235
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9*12.5=112.5
rec 2: (13.5-5.5)*(19.5-9-7)=28
rec 3:7*13.5=94.5
Then:
112.5+28+94.5=235
[tex] {20}x^{2} - {45}y^{2} [/tex]
Answers
Answer:
5(4x^2-9y^2)
Step-by-step explanation:
I assume you want to simplify the expression:
20x^2-45y^2
5(4x^2-9y^2)
2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?
Answers
Answer:
zach ran 31680 feet over the weekend.
Step-by-step explanation:
1 mile = 5280, so 6 x 5280 = 31680
Please help what does A equal
Answers
Answer:
26°
Step-by-step explanation:
∠a and the 154° angle are both supplementary, so their sum is equal to 180°.
[tex]a+154=180[/tex]
[tex]a=26[/tex]
So, m∠a=26°.
Answer:
If i'm not wrong it should be 26
Step-by-step explanation:
I'm so sorry if I am wrong.
At Jefferson Middle School,
3/5
of the students play a sport. Of those students,
1/3
play soccer. What equation can be used to find what fraction of the students play soccer?
1
3
+
3
5
1
3
÷
3
5
1
3
×
3
5
Answers
explanation: you look at the total [3/5] and multiply that by the total of soccer players [1/3]
Answer:
[tex]\frac{1}{3}[/tex] times [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Solve. *25 points*
1/2 divided by 2/3 =?
Answers
Answer:
The answer is 3/4
Step-by-step explanation:
When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.
look at pic 10 pts will mark brainilest
Answers
Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answers
Answer:
24%
Step-by-step explanation:
trust me and get blessed
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first two hours of her trip, she kept her average speed at 50 miles per hour. Then she realized she was going to be late to meet her friend for dinner, so she started driving faster. What was her average speed for the last three hours of the trip?
Answers
Answer:
70 miles per hour
Step-by-step explanation:
Distance = speed * time
speed = distance / time
------------------------------
Total Distance
speed = 62
time = 5
62 * 5 = 310 miles
Distance travelled in first 2 hours
speed = 50
time = 2
50 * 2 = 100 miles
Remaining distance
310 - 100 = 210 miles
Speed to cover 210 miles in 3 hours
distance = 210
time = 3
210/3 = 70 miles per hour
Is the answer to the problem A,B,C or D ?
Answers
Answer:
D because if you simplify its into more you get D
A triangle has height 4ft and an area 64ft square What is the length of its base?
Answers
Answer:the answer is 60
Step-by-step explanation:
The question is “what is the length” so what I think we are supposed to do is to add since the height is 4 and the area is 64 so the length has to be 6
Hope I helped
What is the probability that a randomly chosen student is a boy that prefers comedy movies?
I NEED HELPPO ASAP
Answers
Expiation I don’t got one
Answer:
12/35
Step-by-step explanation:
i don’t know the decimal but you can figure that out quickly
HELP jimthompson5910
Answers
Answer:
2 pounds= $3.00
5 pounds= $7.50
8 pounds= $12.00
if you roll a dice what is the probability of getting a 2 or 6
Answers
Answer:2/number of sides
Step-by-step explanation:
those are 2 possibilities out of number of sides so -
2/number of sides
[Will mark as brainliest, and give you a 5 star rating, will report scam answers, please give the question a shot.]
A fruit stand at the checkout line has 5 bananas, 3 apples, and 4 oranges. Find the probability that if you randomly chose 3 fruits:
A) Two oranges and one banana are chosen
B) One of each fruit is chosen
C) All three are bananas
Answers
Answer:
B)
Step-by-step explanation:
Answer:
b, one of each fruit is chosen
Step-by-step explanation:
Hi I’m a tutor ask me if you need help
Answers
Answer:
are you realy a tutor?
Step-by-step explanation:
For those who watch anime: Tell me what type of anime recommendations you want and I'll try to recommend 1-3.
Answers
Answer:
one punch man
Step-by-step explanation:
1 Fullmetal Alchemist (TV) 8.65
2 Death Note (TV) 8.78
3 Cowboy Bebop (TV) 8.90
The electrical current, in amperes, in a circuit varies directly as the voltage. When 15 volts are applied,
the current is 5 amperes. What is the current when 57 volts are applied?
Answers
Answer
The electrical current, in amperes, in a circuit varies directly as the voltage when 15 volts are applied, the current is 5 amperes-by-step explanation:
Find the 30th term of the following sequence. 1, 7, 13, 19, ...
Answers
Answer:
175
Step-by-step explanation:
a30 = a1 + f × (n-1)
f= difference between numbers
How many different three-letter arrangements can be formed using the letters in the word ABSOLUTE if each letter is used only once?
Ο 112
Ο 168
Ο 336
O56
Answers
Answer:
336 3-letter-arrangements
Raid this zoom ASAP
ID:756 537 0556
PASS: fP8TRU
Answers
Answer:
uhm ok-?
Step-by-step explanation:
Step-by-step explanation:
no not interested
Two non-overlapping angles that share a ray making an obtuse angle are ___ The sum of the angles' measures is ___ degrees
Answers
Answer:
90 , 40
Step-by-step explanation:
HELP IM STRUGGLING I DONT WANNA FAIL THIS SCHOOL YEAR
Answers
Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
Help me please quick
Answers
Answer:
[tex]slope = \frac{rise}{run} [/tex]
The slope is 3
Yep thts your answer
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answers
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
You divide by 56