Answer:
C. 61/pi/18
Step-by-step explanation:
I calculated logically
The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.
Given :
The shore station point [tex](X_1,Y_1)[/tex] in feet,
[tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]
The Rock station point [tex](X_2,Y_2)[/tex] in feet
[tex](X_2,Y_2)=(1408.03,6980.06)[/tex]
From the figure
[tex]x=2058.97-1408.03=650.94[/tex] feet
[tex]y=6980.06-6980.06=0\\[/tex] feet
Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]
[tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]
[tex]\Rightarrow L=650.94[/tex] feet
[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]
[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]
Azimuth of line[tex]=270^{\circ}+\theta[/tex]
[tex]=270^{\circ}+0[/tex]
[tex]=270^{\circ}[/tex]
[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]
[tex]=360^{\circ}-270^{\circ}[/tex]
[tex]=90^{\circ}[/tex]
which expression defines function h?
Answer:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]
[tex]g(x) = x - 1[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Required
What defines h(x)
Looking at the degree of f(x), g(x) and h(x), we have:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
See proof
[tex]h(x) = (\frac{f}{g})(x)[/tex]
This gives:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]
Factorize
[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
9
Is the function shown in the
graph one-to-one?
Yes, there exists one
input for every output.
No, there exists
more than one output for at
least one input.
• No, there exists
more than
one input for at least one
output.
Yes, there exists one output for
every input.
Answer: Choice D
Yes, there exists one output for every input.
=======================================================
Explanation:
x = input
y = output
For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.
Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.
Write in the equation for the slope intercept form and please no links or I will report you
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
PLEASE HELPP!!
An initial amount of money is placed in an account at an interest rate of 5% per year, compounded continuously. After five years, there is $3287.11 in the
account. Find the initial amount placed in the account. Round your answer to the nearest cent.
9514 1404 393
Answer:
$2560.00
Step-by-step explanation:
The account balance is given by the formula ...
A = Pe^(rt) . . . . principal P invested at rate r for t years
Filling in your numbers, we have ...
$3287.11 = Pe^(0.05·5)
P = $3287.11e^(-0.25) = $2560.00
The initial amount was $2560.00.
A store wants to have an end of year sale so they discount all prices by 35%. If you buy an item that originally sells for $80.00, how much are you paying for it after the discount?
Answer:
$52.00
Step-by-step explanation:
35% of $80
(35÷100) ×80
0.35× 80
$28.00
$80 -$28
$52.00
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
Those are they only numbers that aren't equal to or less than the third side.
The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground.
What is the shortest ladder that will do the job? SHOW your work.
10 foot ladder
12 foot ladder
14 foot ladder
Answer:14
Step-by-step explanation:
4/10 + 40/100 = ? Help please
Answer:
4/10 is the same as 40/100
there fore 4/10+40/100=40/100+40/100=
80/100
hope it helps :)
Answer:
80/100
4/5 as reduced fraction
Step-by-step explanation:
4/10 + 40/100
use common denominator of 100
40/100 + 40/100 = 80/100
As a reduced fraction
4/5
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
someone help me wiht this geomtry problem asap!!!
Answer:
if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area
My faces are not all
congruent.
I contain 12 edges.
I contain 6 faces.
Answer:
its a rectangle
Step-by-step explanation:
From the equation below, where is the center of the circle located and what is the radius?
(x – 4)2 + (y + 8)2 = 16
A) Center: (4, -8) Radius = 4
B) Center: (-4, 8) Radius = 4
C) Center: (4, -8) Radius = 16
D) Center: (-4, 8) Radius = 16
Answer:
B Center: (-4, 8) Radius = 4
Step-by-step explanation:
15) Find the product. Show all your work.
Reduce all your answers into simplest
form
3 - x
5
л |N
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]
or another way
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]
What is the degree measure of FEG?
A 20°
B 31°
C 56°
D
124°
Answer:
C) 56
Step-by-step explanation:
DEG and FEG are on a straight line forming 180 degree.
Set your formula up as
180 = (3x+31)+(2x-6)
180 = 3x +2x +31 - 6
180 - 31 + 6 = 5x
155 = 5x
155/5 = x
31 = x
Now substitute 31 in place of x
FEG = (2*31-6)
FEG = 56
Please help! im extremely confused
the results of rolling a single die are shown in a table below. find the experimental probability of rolling a 5
number total
1 12
2 16
3 21
4 23
5 18
6 10
Answer:
1/12
Step-by-step explanation:
To find experimental probability you have to solve the Number of times an event occurs / Total number of trials. So since the 5 only appears once and there are 12 numbers, it would be 1/12. Did this help?
The experimental probability of rolling 5 will be 0.18.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below:
Number Total
1 12
2 16
3 21
4 23
5 18
6 10
The experimental probability of rolling a 5 is calculated as,
P = 18 / (12 + 16 + 21 + 23 + 18 + 10)
P = 18 / 100
P = 0.18
Thus, the probability is 0.18.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer:
The graph has a domain of {x|0 < x < infinite} and approaches 0 as x decreases
The graph has a domain of {y| -infinite < y < infinite} and decreases as x approaches 0.
Step-by-step explanation:
I was confused at first because I was like "There is 2 answers" and I reread the question again and found my mistake.
And sorry for the wait because "I am in class"
1) A farmer has sheep and cattle in the ratio 8:3.
a) How many sheep has the farmer if he has 180 cattle?
b) Find the ratio of the number of sheep to the total number of animals.
c) Find the ratio of the total number of animals to the number of cattle.
2)My fortune of $ 810 000 is to be divided in the ratio 4:3:2. How much does each person receive?
Good
Answer:
Q 1)
a) No of sheep = 480
b) 8 : 11
c) 11 : 3
Q 2)
Each person will receive: $360,000, $270,000 and $180,000
Step-by-step explanation:
Ratio of sheep to cattle = 8 : 3
Let the number of sheep be 8x
And number of cattle be 3x
a)
No of cattle = 180 (Given)
Therefore,
3x = 180
x = 180/3
x = 60
Therefore, 8x = 8*60 = 480
No of sheep = 480
b)
Total animals = 180 + 480 = 660
Ratio of sheep to the total number of animals
= 480 : 660
= 8 : 11
c)
Ratio of total animals to the number of cattle
= 660 : 180
= 11 : 3
Q 2) Let each person will receive 4x, 3x and 2x dollars.
Therefore,
4x + 3x + 2x = 810,000
9x = 810000
x = 810000/9
x = 90,000
Therefore,
4x = 4*90,000 = $360,000
3x = 3*90,000 = $270,000
2x = 2*90,000 = $180,000
So, each person will receive $360,000, $270,000 and $180,000.
When you plug in 8 for m, what problem will you have to solve?
3+m
3+m=8
3+8
please help. 10 points
Answer:
8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3
Step-by-step explanation:
Sry If it doesn't make sense!
If you are confused let me know and I will explain in the comments.
The price of a cell phone is usually $240 Ella mom buys one of these cell phones when the discount is 25 how much did Ella mom save?
Answer:
$60
Step-by-step explanation:
$240 = 100%
Discount = 25%
100% - 25% = 75%
75% as a decimal is 0.75
Multiply:
240(0.75) = 180
You could also do 3/4 of 240 because 0.75 is 3/4
To find out how much she saved, let's subtract the sale price from the original price:
240 - 180 = 60
Ella's mom saved $60 from the discount
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet
Answer:
The probability that they will meet is 0.4375
Step-by-step explanation:
Let A and B be two friends who choose to meet the same one-hour period.Since there are 60 minutes in an hour therefore n= 60
A can wait for 15 minutes
So the probability of A to meet is given by P(A)= (15/60)= 1/4
Similarly
B can wait for 15 minutes
So the probability of B to meet is given by P(B)= (15/60)= 1/4
The probability that A cannot meet is given by 1- P(A)= 1-1/4= 3/4
Similarly
The probability that B cannot meet is given by 1- P(B)= 1-1/4= 3/4
And
The probability that both A and B cannot meet is given by = 3/4*3/4= 9/16
So the probability that both will meet = 1- 9/16= 7/16= 0.4375
Can anyone help me out
Answer:
14.49 people per square mile
Step-by-step explanation:
Divide to find the answer:
836,109/57,714 = 14.49
Find the volume of this triangular prism:
Answers:
350in3
175in3
22in3
200in3
Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.
M(–5, –6) is rotated 90° clockwise.
Step 1. Use the rule (x, y)g(y, –x).
Step 2. Switch x and y coordinates:
(–6, –5)
Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)
Step 4. Simplify:
(6, –5)
Mira made an error in Step
Answer:
3
Step-by-step explanation:
Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.
It should give (-6, (-1)-5).
Step-by-step explanation:
This graph shows the altitude of an airplane over time. Which story matches the graph?
A.)The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude.
B.)The aircraft rose steadily over the entire flight.
C.)The aircraft rose quickly to its maximum height, and then it immediately began going back down toward the grou
D.)The aircraft rose quickly into the air at takeoff, and then it rose slowly for the rest of the flight.
SHOW HINT
Answer:
A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)
Answer:
Omg, thank u so much I am on this question rn on Edulatic and I have 100 Q's and I'm only on Q 45, This Question rly helped me a lot bc it came with the answer. God Bless you!!
Someone help me please
Answer:
7/8 or the bottom right
Step-by-step explanation:
Is a triangle with side lengths of 33 inches, 56 inches, and65 inches a right triangle? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
Pythagorean's Theorum is that a^2 + b^2 = c^2
a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.
The Sine Function
In a basic sine curve, where can the zeros NOT be found?
a. middle
b. beginning
c. maximum point
d. end
Please select the best answer from choices provided
Answer:
C. Maximum
Step-by-step explanation:
I calculated it logically
x-y=6, if x=2, then y= -4
Answer:
That is correct.
Step-by-step explanation:
x - y = 6
2 - (- 4) = 6
2 + 4 = 6