(03.02 MC) The figure shows the location of three points around a lake. The length of the lake, BC, is also shown. (The figure is not drawn to scale.) A 6 mi 2 mi 00 B С Which of the following choices is closest to the distance (in miles) between points A and B?
Answers
9514 1404 393
Answer:
(b) 5.66 mi
Step-by-step explanation:
You only need to eliminate the unreasonable answers to make the correct choice.
The hypotenuse of the right triangle is its longest side, so the unknown length must be less than 6. That eliminates the last two choices.
The unknown length cannot be less than the difference of the sides shown, so the unknown length must be more than 4. That eliminates the first choice.
The only reasonable choice is ...
B. 5.66 miles
_____
If you like, you can calculate the distance using the Pythagorean theorem.
AB² + 2² = 6²
AB = √(36 -4) = √32 ≈ 5.66 . . . miles
Related Questions
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.
Answers
Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
solve the literal equation for x ax=bx-c
Answers
Answer:
Collect terms in x on the left side
subtract
b
x
from both sides
a
x
−
b
x
=
−
c
take out a
common factor
x
x
(
a
−
b
)
=
−
c
divide both sides by
a
−
b
x
=
−
c
a
−
b
Step-by-step explanation:
im sorry if its not cleear to explain
Graph the line with slope 7 and y-intercept -7
Answers
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
3 and 1/13 in simplest form.
Answers
Answer:
3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).
Have an awesome day! :D
1 1/16 divided by 1 1/16
Answers
Answer:
1
Step-by-step explanation:
Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form
Answers
y=2/3x -3
the picture is the explanation
In a bag of 50 marbles, 20 marbles are blue or pink.
What percentage of marbles are blue or pink?
Enter the missing values in the boxes to complete the ratio table.
Thanks.
Answers
Answer:
40%
Step-by-step explanation:
The ratio is 20:50, we can expand to 40:100, so 40%
B. If the point are in line ( vertical) then it is not a functiom
Answers
Answer:
True.
Step-by-step explanation:
If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.
What is the distance between the coordinates (9, -2) and (9, 8) please helppp
Answers
elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.
Answers
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
plato/edmentum
Answer:
This study uses a control group. This study uses a repeated measures design.
Write a linear function f
with f(5)=−1
and f(0)=−5
.
Answers
Answer:
f(x) = 4/5x - 5
Step-by-step explanation:
y-mx+b
m=-5-(-1)/0-5=4/5
y = 4/5x + (-5)
y = 4/5x - 5
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
Answers
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
How to find answer to: 8% of ? = 20
Answers
Answer:
You have to do 8/100 * 20
Step-by-step explanation:
Tobias's music store bought a piano at the wholesale price of $550 to buy a smart up the price 35% of the amount of mark up
Answers
Answer: 742.50$
Step-by-step explanation:
35% of 550 is 192.50$ 192.50$ + 550.00$= 742.50$
How do you solve x+20<-10
Answers
Answer:
X = - 31
Step-by-step explanation:
The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think
10 times 10 times 100 divded by 1 times that again 10000
Answers
Answer:
100,000,000
Step-by-step explanation:
Ana is a dedicated Skee Ball player (see
photo) who always rolls for the 50-point slot. The
probability distribution of Ana’s score X on a single
roll of the ball is shown below. You can check that
Mx = 23.8 and og
12.63.
Find and interpret mean
Find and interpret standard deviation
Answers
Answer:
i dont know 69 420?
Step-by-step explanation:
What is the inverse of this function? f(x)=x−7
Answers
Answer:
f^−1(x) = x + 7Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
Find the sum 52,679 + 3,596
Answers
Answer:
56,275
Step-by-step explanation:
Pleas someone help me with this it's my last question
Answers
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
Answer:
x= 2 is the solution of first two equations.
Step-by-step explanation:
–42 >7f +3 what is f
Answers
Answer:
[tex]\displaystyle f < \frac{-45}{7}[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle -42 > 7f + 3[/tex]
Step 2: Solve for f
[Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides: [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite: [tex]\displaystyle f < \frac{-45}{7}[/tex]Topic: Algebra I
Unit: One-Variable Equations
Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
Answers
16/48=1/3
The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
A jar contains 17 red marbles and 32 blue marbles.
If we pull out 2 marbles at random, we need to find the probability that both are red.
The number of possible outcomes,
[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]
The number of possible outcomes of selecting both the red marbles.
[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]
The probability that both the marbles are red,
[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]
Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
3. a. Which of the numbered angles are exterior angles?
b. Name the remote interior angles for each exterior angle.
C. How are exterior angles 6 and 8 related?
(Picture included) please help
Answers
4, 5, 6, 7 & 8 are exterior angles.
Answer:
See answers below.
Step-by-step explanation:
Exterior angles are angles that form a linear pair with an angle of a triangle.
Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)
A. Exterior angles are ∠8, ∠7, ∠5, ∠4, and ∠6
B. Remote interiors angles are :
Looking at ∠6, the remote interior angles are ∠1 and ∠2
Looking at ∠8, the remote interior angles are ∠1 and ∠2
Looking at ∠5, the remote interion angles are ∠1 and ∠3
C. ∠6 and ∠8 are vertical angles which are ≅ and equal.
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
Answers
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE
Answers
How many groups of 1/2 are in 7
Answers
Answer:
14
Step-by-step explanation:
math question!!!!!!!!!!!
Answers
Answer:
A: Walking
Step-by-step explanation:
-It cannot be biking because the constant of proportionality (COP) is 9.5 miles (per hour).
-It cannot be running because the COP is 5 miles (per hour).
-It cannot be swimming because the COP is 4.5 miles (per hour).
he is walking
14 divided by 4 is equivalent to 3.5 the equation being 14/4=3.5 or 3 1/2
1 year = 365 days
1 day = 24 hours
How many years is 1,000,000 hours?
Has to be dimensional analysis
Answers
Answer: 41,667
Step-by-step explanation:
1,000,000 divided by 24= 41,666.666
you should round this answer up if your question asks for that to 41,667
An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object after tseconds. How long does it take the object to the ground?
0 seconds
16 seconds
18 seconds
88 seconds
Answers
18 seconds
Step-by-step explanation:
The object will reach the ground when its height h(t) = 0. Therefore, we can write
[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]
Solving for t, we get
[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]
(2a+3) by (a+2) binomial multiplication
Answers
Answer:
refer to the attachment
hope it helps.......
Answer:
2a² + 7a + 6Step-by-step explanation:
(2a+3) (a+2) = 2a(a) + 2a(2) + 3(a) + 3(2) = 2a² + 4a + 3a + 6 = 2a² + 7a + 6