Avenue A is perpendicular to North Street. What is the relationship between Avenue A and South Street?
Final answer:
Avenue A is perpendicular to North Street, and it would also be perpendicular to South Street since they run parallel. The concept of vector components Ax and Ay, being perpendicular and analogous to these streets, helps illustrate the perpendicular relationship between Avenue A and South Street.
Explanation:
Given that Avenue A is perpendicular to North Street, we can infer that Avenue A is also perpendicular to South Street because in a typical city grid, north and south streets run parallel to each other. When two lines are perpendicular to a third line, they are parallel to each other and form a 90° angle with the perpendicular line.
The relationships among vectors can help further illustrate this idea. If we look at the components of a vector, Ax and Ay, where Ax is the movement in the east-west direction (like Avenue A) and Ay is the movement in the north-south direction (like North Street), they form a right angle with each other. If you walk along Avenue A (the Ax component), then along North Street (the Ay component), you construct a path that is the resultant vector A with its own magnitude and direction.
The sum of these vectors is represented as Ax + Ay = A. This combination holds only for vector quantities, which include both magnitude and direction. This principle does not apply when we're summing up the magnitudes alone, as in the example where if Ax is 3 m east and Ay is 4 m north, the direct path A would not simply be their sum in magnitudes but would instead be a diagonal 5 m northeast according to the Pythagorean theorem.
Chelsea uses 3 pounds of apples to make 4 cups. How many pounds of apple does she need to make 6 pints of applesauce
Here, we know that 1 pint = 2 cups
Thus, 1 cup = [tex] \frac{1 pints}{2} [/tex]
3 ponds apples are needed for 4 cups i.e. 3 ponds of apples = 4 cups of applesauce
1 cup of applesauce = [tex] \frac{3 ponds}{4} [/tex]
Now, 6 pints will have 12 cups of applesauce
Multiplying this equation by 12 ⇒ 1 cup of applesauce = [tex] \frac{3 ponds}{4} [/tex]
12 ×1 cup of applesauce = 12 × [tex] \frac{3 ponds}{4} [/tex]
So, 12 cups of applesauce = 9 ponds of apple.
Thus, 9 ponds of apple will be needed to make 6 pints of applesauce.
A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet?
Question 8 options:
bike = $200 and helmet = $40
bike = $160 and helmet = $80
bike = $120 and helmet = $60
bike = $100 and helmet = $90
What is the simplified form of square root 64x^16?
8x^4
8x^8
32x^4
32x^8
Answer:[tex]8x^{8}[/tex]
Step-by-step explanation:
When multiplying two numbers with exponents you adding the exponents
[tex](x^{m} )(x^{n} )=x^{m+n}[/tex]
[tex]\sqrt{64x^{16} }[/tex] = [tex]\sqrt{64x^{8+8} }[/tex] = [tex]\sqrt{8(8)(x^{8}) (x^{8} )}[/tex] =8[tex]x^{8}[/tex]
The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How far did they travel in the five hours? How do you know? Explain (write a prportion)
Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
π , √5 ,√8 ,2√5
a.) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
b.) Order the ribbon sizes from least to greatest.
PLEASE SHOW YOUR WORK
Find the perimeter of a rectangle ABCD that goes through points A(1,3), B(1,1), C(4,1), and D(4,3)
Pls answer the question fasttt
Can you please answer for 30 points Thanks
Answer:
Step-by-step explanation:
To find angle 3, we need to first find angle 2.
-It is given that it's a square. The full angle is 90°. Angle 2 would be 90-72, which is 18°.
Now that we have angle 2, we can find angle 3 because angle 2 and 3 are linear pairs.
180°-18°
162°
m<3=162°
40% of the flowers in the garden are roses the rest of the flowers are daiseis if 8 flowers are roses how many flowers are there altoghether draw a model to justify your anwser
the perimeter of triangle rxa is 24. if rx= 4 and ra= 11, find xp and pa
Bella is making button barrettes. She allows each of her friends to reach into her bag of buttons and randomly select a color. Then she replaces it with the same color button and shakes the bag before letting another friend pick a color. Bella’s bag of buttons contains the colors below. Which model shows the probability of randomly selecting each color button from her bag?
Answer: Pink 12 %, Orange 40%, Green 28%, Blue 20%
Step-by-step explanation:
Given, Total number of,
Pink button = 300
Green button = 700
Orange button = 1000
Blue button = 500
Thus, total button = 300 + 700 + 1000 + 500 = 2500
Now, the probability of getting pink button = [tex]\frac{300_C_1}{2500_C_1} = \frac{300}{2500} = 0.12=12\%[/tex]
The probability of getting green button = [tex]\frac{700_C_1}{2500_C_1} = \frac{700}{2500} = 0.28=28\%[/tex]
The probability of getting orange button = [tex]\frac{300_C_1}{2500_C_1} = \frac{1000}{2500} = 0.40=40\%[/tex]
The probability of getting blue button = [tex]\frac{300_C_1}{2500_C_1} = \frac{500}{2500} = 0.20=20\%[/tex]
⇒ Third Option is correct.
Answer:
the third one
Step-by-step explanation:
i got 100
the area of a circle is 452.39 ft^2 . Why would the diameter have to be?
Which choice shows a correct way to solve 8•13?
Answer:
Step-by-step explanation:
8 x(10+3)
if if f(x)=x-6 and g(x)=x, what is if f(x) times g(x)?
a baseball team has 12 players and the coach wants to pick which five players will start today's game how many combinations are there to the coach to choose from
Solve for x.
7
12
21
4
which equations are equal to 1/4 (8x+56) =20
Following are the calculation to the given equation:
Given:
[tex]\to \frac{1}{4}(8x+56)=20[/tex]
To find:
x=?
Solution:
[tex]\to \frac{1}{4}(8x+56)=20\\\\\to \frac{8x}{4} + \frac{56}{4}=20\\\\\to 2x + 14=20\\\\\to 2x = 20-14\\\\\to 2x= 6\\\\\to x=\frac{6}{2}\\\\\to x= 3[/tex]
Therefore, the final answer is "3".
Learn more:
brainly.com/question/23248705
the quotient of 7.3 divided by -7.3
Answer:
-1
Step-by-step explanation:
7.3
------ = -1
-7.3
A jar contains blue, red, yellow, and green marbles.P(blue) = 1/4. What type of probability is illustrated and why?
The probability stated as P(blue) = 1/4 illustrates theoretical probability, which is determined by the number of favorable outcomes divided by the total number of outcomes without the need for any experiment or past data.
The type of probability illustrated by the statement "A jar contains blue, red, yellow, and green marbles with P(blue) = 1/4" is theoretical probability. This is because the probability value is based on the known possible outcomes and the assumption that each outcome has an equal chance of occurring. For example, if a bag contains four green marbles, three red marbles, and two yellow marbles, the theoretical probability of drawing a yellow marble followed by a green marble without replacement would be calculated using the number of ways these events can happen divided by the total number of outcomes.
Theoretical probability does not require experimental results or past data and is often used in problems involving equally likely events, such as drawing marbles from a jar or flipping a fair coin. In contrast, experimental probability is based on the frequency of an event happening from trials or experiments. In the given example with the jar of marbles, we assume that each marble color is equally likely to be drawn.
0.25,4/5,2/9,0.48 how many cards are greater than 1/2
Solve the following equation (6p+8)(5p-8)
Which angle in the image corresponds to ∠X in the pre-image?
∠L
∠M
∠N
What is the length of segment AB? A coordinate plane is shown. Point A is located at 6, 2, and point B is located at 0, 10. The points are connected by a line segment. 5 units 6 units 8 units 10 units
if sec theta equals negative 5/3, such that 180° <thata<270° then determine what is tan theta ?
the difference between an observational study and an experiment is that
in an observational study only one group is studied, and in an experiment two groups are studied
in an observational study, researchers do not control treatment, and in an experiment they do
in an experiment cause and effect is analyzed, and in an observational study, it is not
in an experiment one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time
Answer: In an observational study, researchers do not control treatment, and in an experiment they do .
Step-by-step explanation:
Observational study is the study where the researcher observes the subjects and measures variables, but does not influence the population where as in an experiment the experimenter has control on the independent variable to see the effect on the dependent variable.
So the correct difference between an observational study and an experiment is that "in an observational study, researchers do not control treatment, and in an experiment they do."
Answer:
B on EDG
Step-by-step explanation:
will give crown to best answer!!!!!!
\Which of these pairs of points defines a line with a slope of -1?
A. (3, 10) and (3, 5) B. (3, 10) and (5, 3) C. (10, 3) and (15, -2) D. (10, 3) and (3, 5)
Answer:
c
Step-by-step explanation:
In Kendra’s class, 40 percent of the students earned an A on the math test. Twenty students earned an A. Kendra needs to find out how many students are in her class. Kendra’s work is shown below.
40 / 2 = 20
_________
100 x 2 = 200
what mistake did kendra make? (the / is meant as a division symbol)
A. Kendra should have multiplied by 4 in both the numerator and the denominator.
B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.
C. Kendra should have added 40 and 20.
D. Kendra should have the part to whole equation written as 100/40 (100 over 40)
Answer:
B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.
Step-by-step explanation:
In Kendra’s class, 40 percent of the students earned an A on the math test.
Let the total students in the class be = x
So, as per the situation given, we can say that
[tex]0.40\times x=20[/tex]
x = 50
Hence, there are 50 students in the class.
We can cross check this as:
[tex]0.4\times50=20[/tex]
So, Kendra surely did a mistake.
Kendra should have divided 100 by 2. But she multiplied by 2.
SOMEONE HELP ME OUT PLEASE WILL MARK BRAINLIEST
Veronique has a spinner with three sections of equal size, red (r), green (g), and blue (b).The spinner is spun twice. The sample space for the possible outcomes is S = {rr, rb, rg, gr, gg, gb, br, bg, bb}. If the number of times red is spun is the random variable, X, which graph represents the probability distribution?
Answer:
a, the first graph
Step-by-step explanation:
The probability distribution represents the likelihood of each possible value of a random variable. In this case, the random variable X represents the number of times red is spun. The graph that represents this probability distribution would have the values 0, 9/33, and 24/33 plotted for X=0, X=1, and X=2.
Explanation:The probability distribution represents the likelihood of each possible value of a random variable. In this case, the random variable X represents the number of times red is spun. The sample space S consists of nine outcomes with one red spin and twenty-four outcomes with two red spins.
To find the probability distribution, we calculate the probability of each possible value of X. The probability of X=0 (no red spins) is 0, the probability of X=1 (one red spin) is 9/33, and the probability of X=2 (two red spins) is 24/33.
The graph that represents this probability distribution would have the values 0, 9/33, and 24/33 plotted on the y-axis for the corresponding values of X=0, X=1, and X=2 on the x-axis.