Answer:
La persona está a 5 kilómetros con respecto al punto de partida.
Step-by-step explanation:
Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:
(i) Una persona camina 7 kilómetros hacia el norte:
[tex]\vec r_{1} = 7\,\hat{j}\,[km][/tex]
(ii) Después 3 kilómetros hacia el este:
[tex]\vec r_{2} = 3\,\hat{i}\,[km][/tex]
(iii) Y luego, 3 kilómetros hacia el sur:
[tex]\vec r_{3} = -3\,\hat{j}\,[km][/tex]
El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:
[tex]\vec R = \vec r_{1}+\vec r_{2} + \vec r_{3}[/tex] (1)
[tex]\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km][/tex]
Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:
[tex]\|\vec R\| = \sqrt{3^{2}+4^{2}}[/tex]
[tex]\|\vec R\| = 5\,km[/tex]
La persona está a 5 kilómetros con respecto al punto de partida.
Which shows the solution to the equation x² = 121? Select all that apply.
A. 11
B. 12
C. -11
D. -12
Leann works at a restaurant for dinner there is a choice of three main dishes and two sides main dish Burger chicken pasta sides Apple fry Rena list possible ways a person could order your main dinner see this these combination is in the correct you to drop down menu to explain your reasoning
Answer:
(a) Leann is incorrect
(b) For every main dish, there are 3 sides
(c) 6 selections
Step-by-step explanation:
See attachment for complete question
Given
Main Dish: Burger (B), Chicken (C), Pasta (P)
Sides: Apple (A), Fries (F)
Solving (a): Is Leann list correct?
From the question, the list is: BA, BF, CA, CF, PA, PF, AB, FB, AC, FC, AP, FP
This list is incorrect because:
AB is the same BA, BF is the same as FB and so on
Solving (b): Number of sides for each Main dish
From the question:
[tex]Main\ dish = 2[/tex]
[tex]Sides = 3[/tex]
This implies that:
For every main dish, there are 3 sides
Solving (c): Total number of selection
In (b), we have:
[tex]Main\ dish = 2[/tex]
[tex]Sides = 3[/tex]
So: the total is:
[tex]Total = Main\ dish * Sides[/tex]
[tex]Total = 2 * 3[/tex]
[tex]Total = 6[/tex]
Find the area of a circle with radius 36 cm. Use = 3.14.
A.226.08 cm
B.2,034. 72 cm?
C.4069. 44 cm
D.8,138.88 cm?
Answer:
4071.5cm²
i'm sorry if this is wrong is it supposed to be the EXACT number?.
The letters N, T, and O are arranged in a random order. What is the probability that the arrangement spells a three-letter word.
Express your answer as a simplified fraction.
Answer:
1/3Step-by-step explanation:
Three letters can be arranged in:
3! = 6 waysWe can spell two words from using the letters N, T, O:
"Not" and "Ton"So there are 2 favorable outcomes out of 6 total outcomes:
P(3-letter word) = 2/6 = 1/3Answer:
probability of getting I letter word =1/3
Help in 2 minutes I need an answer!!
Answer:
D
Step-by-step explanation:
A and D are the only ones that make sense but, A is incorrect because ice is an example of a solid, a solid isn't an example of ice.
I have 4 sandwiches that each measure 12 inches long. If they were cut into 3 2/3 inches, how many sandwiches will you have?
Answer: 13
Step-by-step explanation:
Given
there are 4 sandwiches that each measures 12 inches
If they were cut into
[tex]3\ \dfrac{2}{3}\ in.=\dfrac{3\times 3+2}{3}=\dfrac{11}{3}\ in.[/tex]
Now, it becomes
[tex]\Rightarrow \text{No of sandwiches}=\dfrac{4\times 12}{\frac{11}{3}}=\dfrac{4\times 12\times 3}{11}=13.09\approx 13[/tex]
Now, there are 13 sandwiches
Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm
Answer:
please send the figure.
For the smart person to answer.
Step-by-step explanation:
GCF: greatest common factor of any two (or more) numbers
Top left:
GCF of 4, 10, 14: 2
Top right:
GCF of 14, 35, 84: 7
Bottom left:
GCF of 9, 18, 42: 3
Right left:
GCF of 8, 32: 8
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
Answer:
17.
78\sqrt{3},\ 39\sqrt{3},\ 78\sqrt{3}
19.
6,\ 12,\ 12\sqrt{2}
Step-by-step explanation:
The required values of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
For triangles,
sin45 = 39/x
z = 39×√2
xsin60 = 39×√2 cos45
x ×√3/2 = 39
x = 39 × 2 / √3
x = 26√3
Now,
cos60= y / x
1/2 = y / 26√3
y = 13√3
Thus, the required value of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ5
Help ASAP I’ll mark you as brainlister PLEASE!!’
Answer:
A = 76.8 yd²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
Here p = 8 × 4 = 32 yd and a = 4.8 yd , then
A = [tex]\frac{1}{2}[/tex] × 32 × 4.8 = 16 × 4.8 = 76.8 yd²
What are the intercepts of this line?
A x-int: 0.5: y-int -1
B x-int: -0.5 y-int. 1
C x-int: 0.5. y-int: 1
D x-int: -0.5 y-int: -1
Answer:
I believe it would be B, very sorry if this didn't help!
Step-by-step explanation:
Answer: C x-int: 0.5. y-int: 1
Step-by-step explanation:
We first see the y-int of the graph, where x equal to 0.
Based on the graph, y is passed the y-axis on the positive sign, which means that y-int is (0,1), only b and c fits.
And we can clearly see the x-int is on the positive sign also, which is (0.5,0), c is the answer.
Plz help me answer this!!
Answer:
answer a
Step-by-step explanation:
the first graph
Help me please.......
9514 1404 393
Answer:
a) -2.7
d) 0.4
Step-by-step explanation:
I like a graphing calculator as a tool for finding the solution to problems like this. The two function graphs intersect at x-values of -2.7 and +0.4.
*ANSWER ASAP* how many times greater is 9 times 10^(5) than 8 times 10^(2)
Match the reason with the statements please. Thank you!
Answer:
st 1 _ r 3
st 2 _ r 1
st 3 _ r 2
st 4 _ r 4
a street sign is 88 inches tall how tall is it in feet and inches
There are TWO pictures here. Please show work
Three stores are selling the same brand of soda for different prices. Which stores has the better price? Store x / 4 for $2.48 Store Y / 5 for $3.00 Store Z:\$0.62 for 1 can
Answer:
store y has the best price
Step-by-step explanation:
store x you would pay .62 for each soda
store z you would pay .62 for one soda
and store y you would pay .60 for each soda so you would want to pick the one with the lowest price on each and you would get more for a lower amount of money.
guys I need help this is due at 4 o'clock.
the last number for each problem is a power number.
15 points
example:y=4x2 the number 2 is the power number and the number at the end of the problem is a power number. the x is a letter.
graph each function.
y=4x2
y=-3x2
Step-by-step explanation:
x = 3/2 + y/2
Free 100 points! Solve this equation
2x + x + 20 = 200
ANSWER is 60
2x + x = 3x
200-20=180
180 divided by 3x = 60
You may copy and paste the answer and explanation .
Have a nice day .
Answer:
60
Step-by-step explanation:
tysm! have a great day
thank you
have a good day...❤
Expert Help Please If AD=23 and BC=46, find EF.
Geometry!
Answer:
69
Step-by-step explanation:
If 46-26 =26 then 46+26=69.
Use synthetic division to find the result
when (x3 - 2x2 - 19x + 20) is divided by (x +
4).
Answer:
x^2 - 4x - 3 + 28/x+4
Step-by-step explanation:
What is The equation of a circle with radius, r= 4, and the center at (0, 0)?
Answer:
x^2+y^2=16
Step-by-step explanation:
i think so
Laura and martin obtain a 25 year 160,000 conventional mortgage at 10.5% on a house selling for 190,000. Their monthly payment, including principal and interest, is $1510.40
Complete question :
Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortgage payment, including principal and interest, is $1566.00. Determine the total amount they will pay for their house. How much of the cost will be interest? How much of the first payment on the mortgage is applied to the principal?
Answer:
$563760 ; $383760 ; $66
Step-by-step explanation:
Given that:
Monthly mortgage payment = $1566
Period = 30 years
Number of months in period = (30 * 12) = 360
Principal = $180,000
1.)
Total amount paid :
Monthly payment * period
$1566 * 360 = $563760
2.)
Total amount paid = Principal + Interest
Interest = Total amount paid - principal
Interest = $563760 - $180000
Interest = $383760
3)
First payment = 1566
Interest rate = 10% per annum = 0.1 / 12 = 0.0083333
monthly interest: 180,000 * 0.0083333 = 1500
Principal = 1566 - 1500 = $66
Find the point P along the directed line segment from point A(–13, 6) to point B(2, 20) that divides the segment in the ratio 2 to 3.
Answer:
(-4, 14.4)
Step-by-step explanation:
The midpoint formula is expressed as;
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
Get X;
X = ax1+bx2/a+b
X = -13(2)+ 2(3)/2+3
X = -26+6/5
X = -20/5
X = -4
Get Y:
Y =ay1+by2/a+b
Y = 2(6)+3(20)/2+3
Y = 12+60/5
Y = 72/5
Y = 14.4
Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is
(-4, 14.4)
In Ms. Perron’s class, 25% of the class are boys. There are 6 boys in the class. What is the total number of students in Ms. Perron’s class?
Answer:
24
Step-by-step explanation:
25%= 1/4 of the class
1/4 *x=6
x=24
I did not get the right answer, please help.
Answer:frfr it made hard
Step-by-step explanation:
2
Find the area of the figure shown below and choose the appropriate result.
A 96mm^2
B 102 mm^2
C 90 mm^2
D 140 mm^2
Answer:
It should be: B.
Step-by-step explanation:
If its not correct then its probably C then
Answer:
The answer should be B
Step-by-step explanation:
Yolanda decides the length of her square vegetable garden will be 17 ft. she calculates that the area of the garden is 34 ft squared 2. Determine if Yolanda's calculation is correct. Explain.
Answer: That is incorrect because the garden will be 17 ft by 17 ft meaning it will be 289 square feet.
Step-by-step explanation:
Fastttt I have 2 more mins please someone answer
Answer:
Step-by-step explanation:
is 50
360-230=130
180-130=50