jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?
Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
find the sum of the series 9+3+1+........+1/27
Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
This scatterplot and regression line below show the relationship between the average rent for a 1-bedroom apartment in New York and the number of years after the year 2000. The fitted line has a y-intercept of 800. What is the best interpretation of this y-intercept?
Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Step-by-step explanation:
In this case, x represents the number of years after the year 2000.
Then we can think that x = 0, represents the year 2000 itself.
Now, remember that the y-intercept is the value of y when we have x = 0.
Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Select the expression that is equivalent to 4x2 – 25.
Help
Answer:
Factor form: (2x-5)(2x+5)
If you olny simplify: 8x-25
Step-by-step explanation:
18-4y=42 help, please?
18-4y=42
4y = 18-42
4y=-24
y = - 6
Solve for x and y in the diagram below
Answer:
x= 39
y= 123
Step-by-step explanation:
Please see the attached picture for the full solution.
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
James gets $6 for his weekly allowance and spends $4 of it. His brother Mike gets $7 for his weekly allowance and spends $3 of it. Their mother's birthday is in 4 weeks. If they spend the same amount each week, how much money can they save together in that time to buy her present? 2 points
Answer:
$24
Step-by-step explanation:
James
Allowance per week = $6
He spends = $4
Balance = $6 - $4 = $2
Mike
Allowance per week = $7
He spends = $3
Balance = $7 - $3 = $4
Their mother's birthday is in 4 weeks
how much money can they save together in that time to buy her present?
James savings per week × 4 weeks
= $2 × 4
= $8
Mike's savings per week × 4 weeks
= $4 × 4
= $16
Total amount James and Mike can save together = $8 + $16
= $24
How much is 37 1/2 percent of 48.72?
Answer:
18.27
Step-by-step explanation:
18.27
Answer: 18.28125
Step-by-step explanation:
Convert 37.5% to a decimal:
0.375
Multiply 48.72 by the decimal:
48.72(0.375)
18.28125
This can be rounded to 18.28 if you need.
Hope this helps!
Heeeeeeeeelp if u can but pls help
Answer:
16 units squared
Step-by-step explanation:
shbajabdhskan
Answer:
10
Step-by-step explanation:
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).
Answer:
y=4x+1
Step-by-step explanation:
I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.
Answer:
y - 1 = 4 ( x - 0 )
Step-by-step explanation:
point slope form
Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?
Answer:
$4 per poundStep-by-step explanation:
given data
let the total charge be y
and let the number of pound be n
also let the charge per pound be p
we know that the expression for the total charges is given as
y=2+np
given that
y=$38
n=9
the expression the charges is now
38=2+9p
solving for p we have
38-2=9p
36=9p
p=36/9
p=4
therefore she is charged $4 per pound
Find the value of each variable.
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.
I need help please.
M a t h
Answer:
option 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here are the conditions.
The car must go at least 55 mph. That means that 55 is included. Use ≥
The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).
The answer uses ≥
The answer is s ≥ 55
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
Learn more: https://brainly.com/question/15816805
If 7p + 89 = 4p - 2, what is the value of p
Answer:
p = -30.3
Step-by-step explanation:
Answer:
p= −91/3
Step-by-step explanation:
Fahrenheit 451
Write a paragraph on the imagery' from this text with evidence, as well as a second paragraph for the mood.
Answer:
mark above answer BRILLIANT
Simplify the expression.
−(−x)3 − x3
A. −4x3
B. −2x3
C. 2x3
D. 0
Answer:
D. 0
Step-by-step explanation:
Answer:
d. 0
Step-by-step explanation:
−(−x)3 − x3
(remove parentheses)
x * 3 -x *3
(eliminated opposites)
0
(your answer)
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Can someone help me with this I really need help
Answer:
B.) x > -1 and x ≤ 4
Step-by-step explanation:
Hope this helps!
The data represented by the following stem-and-leaf plot range from
to
2189
3 504
4 127
5 36
A. 29; 53
B. 28; 56
C. 28; 53
D. 29, 56
SUBMIT
Answer:
28;56
Step-by-step explanation:
According to the stem-and-leaf plot, the range of the data represented by the stem-and-leaf plot is 63.
To determine the range of the data represented in stem and leaf plot, we need to look at the smallest and largest values. The smallest value is obtained by taking the smallest leaf in the plot, which is 36, and adding it to its corresponding stem (5). So, the smallest value in the data set is 536.
Next, we look for the largest value, which is found at the bottom of the last stem. In this case, the last stem is 5, and the largest leaf is 9. Therefore, the largest value in the data set is 599.
Now that we have the smallest and largest values, we can calculate the range by subtracting the smallest value from the largest value:
Range = Largest Value - Smallest Value
Range = 599 - 536
Range = 63
So, the answer is Answer: C. 28; 53
To know more about stem and leaf plot here
https://brainly.com/question/32053953
#SPJ2
Do yall know what 4 1/2÷6 is?
Answer:0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
i like to turn them into improper fractions
4 and 1/2 is 9/2
6 is 6/1
to divide fractions, multiply by the reciprocal
6/1 flipped is 1/6
then multiply
9/2 x 1/6 = 9/12
simplify
3/4
Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
How many degrees are in a twelfth of a full turn?
Answer:
30 degrees
Step-by-step explanation:
A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!
Hope this helps you out...have an amazing day c:
Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°