On the map, Winton ,California is located at(“ (2,10.5) in Lake Tahoe is located at (14,16). Each unit on the map equals 16.5 miles what is the approximate distance between the cities round to the nearest mile.
Answers
Answer:
The distance between the two
points on the map
is 225 units
Step-by-step explanation:
Firstly, we need to calculate the distance in units between the two locations on the map
What we have to use here is the distance formula
Mathematically, we have this as;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (2,10.5)
(x2,y2) = (14,16)
we have the distance as follows;
D = √(14-2)^2 + (16-10.5)^2
D = √(12^2 + 6.5^2)
D = √(186.25)
D = 13.65 units
now, from the question, 1 unit on the map represents a distance of 16.5 miles
thus, a distance of 13.65 units will be;
16.5 * 13.65 = 225.225
= 225 units
Related Questions
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answers
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
Which line has the steepest graph?
Answers
Answer:
I think it is the fourth one
[tex]y = \frac{1}{8} x + 9[/tex]
Step-by-step explanation:
I hope that is useful for you :)
En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?
Answers
Answer:
9000 personas en total participaron de la carrera.
Step-by-step explanation:
En este caso, planteo las siguientes variables:
x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:
3000 + x= 7000
Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:
x= 7000 - 3000
x= 4000
En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:
3000 + y= 5000
Resolviendo se obtiene que participaron la siguiente cantidad de niños:
y= 5000 - 3000
y= 2000
Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:
4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes
9000 personas en total participaron de la carrera.
Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answers
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}
Answers
Answer:
3.1
Step-by-step explanation:
which set of side lengths will form a right triangle 8,15,17
7,24,26
6,8,11
10,24,25
Answers
1) 8^2+15^2=17^2
289=289 Yes
2) 7^2+24^2=26^2
625 ≠ 676 No
3) 6^2+8^2=11^2
100 ≠ 121 No
4) 10^2+24^2=25^2
676 ≠ 625 No
Therefor, 8,15,17 is your answer
ihioiggihhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiik
Answers
what's the area of the circle
Answers
Answer:
3.14
Step-by-step explanation:
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 61 feet tall. Which equation could
be used to find x, the average number of feet the tree grew each month?
A. 5x + 16 = 61
B.16x + 5 = 61
C. 61x + 5 = 16
D. 16x + 61 = 5
Answers
Answer:
B
Step-by-step explanation:
I'll give you brainiest if you help me.
Answers
Answer:
88 degrees.
Step-by-step explanation:
Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)
Plss I need this rnnn
Answers
Answer:
25
Step-by-step explanation:
25 is the answer because the sum of angles add up to 90
SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!
Answers
WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!
Answers
Answer:
69824.21
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> ⌒ヽBRAINLY by pasting her
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Step-by-step explanation:
F(x)=400-4/5x find the function and intercepts
Answers
Answer:
The x-intercept is (500, 0); the y-intercept is (0, 400).
Step-by-step explanation:
F(x)=400-4/5x is already a function: a function of x.
To find the y-intercept, set x = 0 and calculate F(0):
F(0) = 400 - 0 = 400; the y-intercept is (0, 400).
To find the x-intercept, set F(x) = y = 0 and solve for x:
0 = F(x) = 400 - (4/5)x, or (4/5)x = 400. To isolate x, multiply both
sides by (5/4): x = (5/4)(400) = 500. The x-intercept is (500, 0).
Plsss help I’m super stuck on this
Answers
Answer:
its b
Step-by-step explanation:
took the quiz
Answer:
I would go with D
Step-by-step explanation:
You can look at the graph and answer it
please show all work
Answers
Answer:
[tex]x=21.6[/tex]
Step-by-step explanation:
Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^c = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Use the Pythagorean theorem in the right triangle with legs (15) and (18),
[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]
Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)
[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]
Use the Pythagorean theorem one final time in the larger triangle,
[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]
Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,
[tex]x^2+324+549=x^2+30x+225[/tex]
[tex]x^2+873=x^2+30x+225[/tex]
Inverse operations,
[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]
Please answer all of them! SHOW WORK!!
Answers
In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?
Answers
If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.
WILL GIVE BRAINLIEST!!!!!!
Answers
Answer:
8 cookies left over
Step-by-step explanation:
use long division.
divide 143 by 15.the remainder is 8
9y - 2x = 0 in slope intercept form.
Answers
Answer:
y=2/9x
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
9y-2x=0
9y=2x
y=(2/9)x
HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answers
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answers
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
help please i don’t get it
Answers
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answers
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.
Answers
Answer:
7/20 0r 0.35
Step-by-step explanation:
Probability of been single = percentage of single adult / sum of percentages
sum of percentages = 35 + 60 + 5 = 100
35/100 = 7/20 or 0.35
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.
Completing the square leads to the equivalent equation (x + ___)² = ___.
.
Answers
Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
Learn more about Quadratic Equations here :
https://brainly.com/question/12014272
#SPJ7
Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answers
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
Please helppp thanksss
Answers
(0,-2)
x-intercept
(5,0)
Please Help Me!! Will Give Brainliest!!!
Answers
y = 5 x= 4
x = -2 y = -7
y= 0 x= -3
i need help with this
Answers
Answer:
A) 9 inches per minute
Step-by-step explanation:
36 inches in 4 minutes
36/4 = 9 inches per minute