Answer: To solve this problem, we can use the law of cosines. The law of cosines is a useful tool for solving problems involving distances and angles between points in two-dimensional space. We can use the law of cosines to find the distance between the starting and ending point of the hike, and the bearing to get back to camp.
The law of cosines states that:
c^2 = a^2 + b^2 - 2ab * cos C
where c is the distance between the two points, a and b are the distances of the two legs of the hike, and C is the angle between them.
Using the given information, we can set a as the distance traveled at 3.5 miles per hour for 2 hours, which is 3.5 * 2 = 7 miles,
b as the distance traveled at 3.5 miles per hour for 4 hours which is 3.5 * 4 = 14 miles,
C as the angle between the two legs of the hike which is (72 + 23) = 95 degrees.
Now we can substitute this values into the law of cosines formula:
c^2 = 7^2 + 14^2 - 2(7)(14) * cos 95
Solving this equation will give us the square of the distance between the starting and ending point of the hike. To find the actual distance, we'll have to take the square root of that.
The distance directly back to camp is √(196 - 98*(√2/2)) = √(196 - 98*(√2/2)) ≈ 8.14 miles
To find the bearing to head back to camp, we must know that the bearing of a line is defined as the angle between the line and the North direction, measured clockwise.
We can use the bearing of N72°W and S23°W to find the back bearing to camp.
The back bearing is (180 + 72 + 23) = 275 degrees. The hikers should take a bearing of 275 degrees to head back to camp.
Step-by-step explanation:
IVIIxed N
Douglas was planting grape vines. He completed 2-
rows of
grapes
each hour he worked. After completing 140 rows of grapes, how many
hours had he worked?
0000
48 hours
50 hours
52 hours
60 hours
Answer: He completes 2 4/5 rows per hour
if he completed 140 rows, how many hours did it take?
We should divide the work completed by the amount of work done per hour.
So, 140/(2 4/5) =
2 4/5 is equivalent to 2.8
so 140/2.8 = 50 hours
Step-by-step explanation:
Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive
Answer:
The answer is proportional
Step-by-step explanation:
I took the test and got 5/5
The given relationship is a proportional relation.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.
Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played
Establishing the equation, we get,
y = 1.50x
Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.
When x = 2,
y = 1.50X2
y = 3
(2, 3)
When x = 4
y = 1.5X4
y = 6
(4, 6)
When x = 6
y = 1.5X6
y = 9
(6, 9)
Here we see that the value of y is varying from the value of x by 1.5 times.
Hence, The relation is a proportional relation.
For more references on proportional, click;
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Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (Please hurry and show your answer )
An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.
Answer:
27.8 degrees
Step-by-step explanation:
Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)
Answer:
C
Step-by-step explanation:
Given the tables of H(t) an r(t), we want to find:
[tex](H\circ r)(3.0)[/tex]
As stated, this is equivalent to:
[tex]=H(r(3.0))[/tex]
Using the r(t) table, we can determine that:
[tex]r(3.0)=2.0[/tex]
Therefore:
[tex]H(r(3.0))=H(2.0)[/tex]
And by using the H(t) table, we can determine that:
[tex]H(2.0)=2.5[/tex]
So, our answer is C.
Alfred has strawberries and tomatoes in his garden. He picked 314kg of strawberries in the morning. In the afternoon he picked 125kg more strawberries than he picked in the morning. How many kg of strawberries did he pick in the afternoon?
Answer:
439kg of strawberries in the afternoon
Step-by-step explanation:
This is simply 314+125
please can someone help me with this
Answer:
Too blurry to read
Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
Now,
a) 66+9t9+48 (base twelve)
[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]
= 72+6+1296+120+9+48+8
= 1559 (base twelve)
b) 5117-324 (base eight)
[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]
= 3272 + 64 + 8 + 7 - (192 + 16 + 4)
= 3139 (base eight)
c) 242 x 14 (base five)
[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]
= (50 + 20 + 2) x (5 + 4)
= 72 x 9 =648 (base ten) = 10130(base five)
d) 101010111 (base two)
[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]
=128+32+8+2=170 (base ten)
Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
More about the Algebra link is given below.
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Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________
Answer:
ocean eyes i looked this up
Step-by-step explanation:
A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph
Answer:
8
Step-by-step explanation:
y-13<6
Help please urgently!!
Step-by-step explanation:
y-13<6
y<6+13
y<19
hope it helps.
Answer:
y<19
Step-by-step explanation:
Add 13 to both sides.
y<6+13
Simplify 6+13 to 19.
y<19
Please can I have the workings too
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{3-2a}{a^2}[/tex]
Step-by-step explanation:
Before we can subtract the fractions we require them to have a common denominator.
Multiply the numerator/ denominator of [tex]\frac{2}{a}[/tex] by a , then
[tex]\frac{3}{a^2}[/tex] - [tex]\frac{2a}{a^2}[/tex] ← with common denominator a²
Add numerators leaving the denominator
= [tex]\frac{3-2a}{a^2}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer: Choice B) Investment decreases by 3% each month
=====================================================
Explanation:
We won't use the value 2500 at all.
The base of the exponential is 0.97
Set this equal to 1+r and solve for r
1+r = 0.97
r = 0.97-1
r = -0.03
The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.
Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
20
Step-by-step explanation:
When you simply the improper fractions, you will get this
[tex]9 + 11 = 20[/tex]
Which is 20
Hope this helped
Answer: 20 or 20 1/2
Step-by-step explanation:
I don’t know really but the real answer is 20 1/18
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m
Answer: the answer is going to be 64m hope this helped :)
Step-by-step explanation:
New York has an elevation that us above dea level select all the answer choice's that could represent the elevation of New York City
Answer:
New York has elevation of 1,000 feet
Step-by-step explanation:
NewYork has elevation of almost 300 meters above sea level. This is lower elevation and the most lowest state is BigApple. NewYork is famous state of United States and the city is really busy. It has sea coasts which adds beauty to the city.
Show work. Will mark branliest
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FASTEST ANSWER
Simplify. √2x (7 + √2x)
Answer:
Your answer : x1= 0
x2=-4.95
Mark my answer as brainlist.
5x+4y=58
3x+8y=46
Do with substitution method
I will give the brain thing
Work would be awesome but not required
Answer:
they are both correct and also what is the question
Step-by-step explanation:
-1 ,3 rotated 90 degrees
Answer:
If rotated clockwise, then (3, -1)
If rotated counterclockwise, then (-3,1)
Step-by-step explanation:
Hope that helps!
This meal costs $33.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?
Answer:
7% of $33.00 is $2.31
total $35.31
18% of $35.31 is $6.35
The total with tax and tip is $41.66
Brainly plz :))
The total cost of the meal after tax and tip will be $41.67.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.
The cost after tax is given as,
⇒ $33 x 1.07
⇒ $35.31
The cost after the tip is given as,
⇒ $35.31 x 1.18
⇒ $41.67
The total cost of the meal after tax and tip will be $41.67.
More about the percentage link is given below.
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estimate a percentage of a histogram
Answer:30 percent something like that
Step-by-step explanation:
10) Ms. Ruiz bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. Ruiz bought? Please show your work.
Answer:
2.85kg
Step-by-step explanation:
3/5kg = 0.6kg
2 1/4 kg = 2.25 kg
0.6kg + 2.25kg = 2.85kg
A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
Answer:
75%
Step-by-step explanation:
Find the ratio 1500 to 2000; it is 0.75.
75% of the population is Spanish speaking.
Answer:
75%
Step-by-step explanation:
1500 ÷ 200 = 0.75
Please help me with my homework problem
Answer:
y-axis
Step-by-step explanation:
points are (x,y)
since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.
reflection just means it rotates 180 degrees (out of the paper, not around)
What is The midpoint of AB?
Answer:
(-2,0)
Step-by-step explanation:
(-2,0) is the midpoint I believe!
Hope that helps!
the mid point of AB is 1 and -1
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!
I will do the first example, by explaining how to graph it. Then you can do the second example.
[tex]f(x) = x^3-10x^2+28x-24[/tex]
We start by determining the the x-intercepts, by letting y = 0:
[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]
The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:
[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]
So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :
[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]
Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :
[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]
x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:
[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]
Minimum: (14/3, -256/27)
Graph is in the attachment below -