Answer:
The distance the hiker must travel is approximately 5.5 miles
Step-by-step explanation:
The distance between the two cell phone towers = 22.5 miles
The distance between the hiker's phone and Tower A = 14.2 miles
The distance between the hiker's phone and Tower B = 10.9 miles
The direction of the highway along which the towers are located = East to west
The direction in which the hiker is travelling to reach the highway quickly = South
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Let 'a', 'b', and 'c', represent the sides of the triangle formed by the imaginary line between the two towers, the hiker's phone and Tower A, and the hiker's hone and tower B respectively, we have;
a = 22.5 miles
b = 14.2 miles
c = 10.9 miles
Therefore, we have;
22.5² = 14.2² + 10.9² - 2 × 14.2 × 10.9 × cos(A)
cos(A) = (22.5² - (14.2² + 10.9²))/( - 2 × 14.2 × 10.9) ≈ -0.6
∠A = arccos(-0.6) ≈ 126.9°
By sine rule, we have;
a/(sin(A)) = b/(sin(B)) = c/(sin(C))
∴ sin(B) = b × sin(A)/a
∴ sin(B) = 14.2×(sin(126.9°))/22.5
∠B = arcsine(14.2×(sin(126.9°))/22.5) ≈ 30.31°
∠C = 180° - (126.9° - 30.31°) = 22.79° See No Evil
The distance the hiker must travel, d = c × sin(B)
∴ d = 10.9 × sin(30.31°) ≈ 5.5
Therefore, the distance the hiker must travel, d ≈ 5.5 miles.
helppppppppppp meeeeeeeeeee
Answer:
It's 11.72
Step-by-step explanation:
Area=)1/2×15/4×25/4
Answer》11.72
Hope it helps...
Have a great day
Answer:
i have made it in above picture
Let f (x) = x2 + 2x + 3 What is the average rate of change for the quadratic function from X = -2 to x= to x = 5?
Answer:
Answer: 5
Step-by-step explanation:
The average rate of change for the function f(x) from x=a to x=b is given by :-
The given function : (Its a quadratic function with degree 2.)
The average rate of change for the quadratic function from x=−2 to x = 5 will be :-
[Note (-)(-)=(+)]
Hence, the average rate of change for the quadratic function from x=−2 to x = 5 is 5 .
Step-by-step explanation:
Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.
Answer:
.
Step-by-step explanation:
Which function matches the table?
Answer:
The A matches the table x+3
find the missing angle measurement
Tell whether the angles are adjacent or vertical. Then find the value of X
Answer:
The angles are adjacent, and x=100
Step-by-step explanation:
The angles are adjacent because they share the same starting point. x=100 because x and the other angle are on a line, which has a measure of 180 degrees. We subtract 80 from 180 to get 100.
Hope this was helpful.
~cloud
A bag contains three different balls, one red (r), one blue(b), one white(w). TWO balls are drawn from the bag without replacement one after the other (at random without looking) and the colors recorded. This means once the first color is drawn, the first ball is kept out of the bag and only 2 colors remain when the second ball is drawn. List the sample space. [Use lower case letters for the colors, preserve the given order, commas separating pairs, no spaces.]
Answer:
The total sample list is 6
Step-by-step explanation:
The bag has following balls
Red - 1
Blue -1
White -1
Two balls are drawn from the bag without replacing the other -
The probability of drawing 1st ball of any color - 1/3
The probability of drawing 2nd ball of any color - 1/2
These two events are independent of each other
Hence, the probability of deriving two balls without replacement is 1/3*1/2 = 1/6
Hence, the total sample list is 6
The sample space is the list of possible outcomes of an experiment
The sample space is {rb, rw, br, bw, wr, wb}
The color of the three balls is represented as:
Red = r
Blue = b
White = w
Given that the selection is without replacement, the sample space would be:
rb, rw, br, bw, wr, wb
The count of the sample space represents the sample size.
Hence, the sample size of the experiment is 6, and the sample space is {rb, rw, br, bw, wr, wb}
Read more about sample space at:
https://brainly.com/question/16347135
pls help question is on picture
Answer:
9/15 = 3/5 (simplified)
Step-by-step explanation:
In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:
[tex]\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is the side that makes up the angle but is not the hypotenuse.
I'm assuming the answer box should ask for cos(theta) rather than cos(x).
y= 5x - 9; domain = { 1,3,7 }
what is the range values?
Answer:
Step-by-step explanation:
range = [-4,6,26]
Step-by-step explanation:
y = 5x - 9.....domain = [1,3,7]....the domain is ur x values, and I am assuming ur looking for the y values that go with the x ones
y = 5x - 9.....when ur domain (ur x) = 1
y = 5(1) - 9
y = 5 - 9
y = -4
y = 5x - 9...when ur domain (x) = 3
y = 5(3) - 9
y = 15 - 9
y = 6
y = 5x - 9...when ur domain(x) is 7
y = 5(7) - 9
y = 35 - 9
y = 26
so ur range (ur y valus) = [-4,6,26]
Determine the surface area of a cereal box with these dimensions width: 3 inches length: 8 inches height: 12 inches
HELPPPPPPPP
What is the value of x in the triangle?
Answer:
82
Step-by-step explanation:
it's very easy the answer is 82
Answer:
65°+75°+x°=180°(sum of an angle of triangle is 180°
or, 140°+x°=180°
or, x°=180°-140°
therefore,x°=40°
On May 1, you sign a $1000 note with simple interest of 8.5% and a maturity date of December 19. You make partial
payments of $475 on June 2 and $200 on November 4. How much will you owe on the date of maturity?
A) $355.79
B) $354.39
C) $359.53
D) $358.96
Answer:
The amount to be repaid is $379.26.
Step-by-step explanation:
Period of note from May 1 to December 19 = 233 days
Amount of note or principal = $1,000
Simple interest rate = 8.5%
Maturity date = December 19
Repayments:
June 2 = $475
Nov. 4 = $200
Total paid $675
Simple interest = $54.26 ($1,000 * 8.5% * 233/365)
Total amount to be repaid = $1,054.26
Total amount repaid = 675.00
Balance to be paid on maturity $379.26
In macroeconomics, the economy can best be understood through the use of
money.
models.
pricing.
debates.
Answer:
models
Step-by-step explanation:
Answer: B.) Models
Edge
CAN SOMEONE PLEASE HELP ME (THIS IS DUE TODAY)
A ballroom has a square dance floor. The area of the floor is 400 square feet.
If the length of each side of the square increased by one foot, would its area be a rational number?
Choose each statement that is true about the new dance floor.
A. The area of the floor would be a rational number.
B. The area of the floor would be an irrational number.
C. Each side length would be a perfect square.
D.The area of the floor would be a perfect square.
E.The area of the floor would be a nonterminating, nonrepeating decimal
Answer:
It’s a: The area of the floor would be a rational number
Step-by-step explanation:
Convert 73.5% to a fraction in lowest terms.
Answer:
147/200
Step-by-step explanation:
Cheryl moves houses. Her old house is 3 kilometers from her new house. How many meters is it from the old house to the new house?
Answer:
3000 here hope this helps you out
Find the surface area of a cylinder with a height of 4 yd and a base radius of 3 yd.
Answer:
131.95yd squared
Step-by-step explanation:
A=2πrh+ 2 r(2)=2*π*3*4+2*π*3(2)~131.94689yd(2)
Find the product of -3/5× .-1.5 .
[tex] - \frac{3}{5} \times - 1 .5[/tex]
Answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Step-by-step explanation:
The probability of not spinning a 5 and flipping heads and the spinner has 5 outcomes
Answer:
So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.
Step-by-step explanation:
answer these 3 questions please :) the table is shown above for these 3 questions
Answer:
Answer
Step-by-step explanation:
for 4. I think sports?
for 5. I think sports also.
Not sure though.. sorry if it's wrong.
If your having trouble with math go to Wolframalpha.com
Answer:
Thanks for letting me know I might try that later today
Step-by-step explanation:
:)
Find the measure of the exterior 1.
A. 144°
B. 56°
C. 36°
D. 136°
PLS HELP ME QUICK I NEED THIS GOOD GRADE PLS HELPPPP! Tell whether each statement is true or false. If false, provide a counterexample. The set of whole numbers contains the set of rational numbers. Every terminating decimal is a rational number. Every square root is a rational number. The integers are closed under addition.
Answer:
1. The set of whole numbers contains the set of rational numbers. FALSE.
The set of integers contains the set of rational numbers
2. Every terminating decimal is a rational number. TRUE
3. Every square root is a rational number. FALSE
Many square roots are irrational numbers, meaning there is no rational number equivalent.
4. The integers are closed under addition. TRUE
What is the simplified form of the following expression? Assume x>0. 4 square root 3 over 2x
Answer:
the answer is B)
4√24x^3/2x
Solution:
The answer is B
Step-by-step explanation:
I just took the test.
Last year, a property manager bought seven identical snow shovels and nine identical bags of salt. The total cost of the snow shovels was $241.50, before tax, and each bag of salt cost $6.20, before tax. This year, the property manager bought 3 identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $105.57, before tax, and the total cost of the bags of salt was $39.06, before tax. Determine the item with the greatest percent increase in the price from last year. Be sure to include the percent increase for this time to the nearest percent.
Answer:
Step-by-step explanation:
The formula to approach this shall be:
( Final price - Initial price )/ Final price × 100/1 ............. 1
Hence for the snow shovels
Initial price = $241.50 for 7
Each will cost = $241.50/7
= $34.5
Final price for snow shovels
= $105.57 for 3 shovels
Each will cost = $105.57/3
= $35.19
Now considering the bags of salt
Initial price = $6.20 each
Final price = $39.06 for 6 bags
Each bag cost = $39.06/6
= $6.51
Now apply the formula in equation (1)
For snow shovels
($35.19- $34.5)/$34.5 × 100/1
= 0.69/34.5 × 100/1
= 0.02×100/1
= 2%
For bags of salt
($6.51-$6.20)/$6.20 ×100/1
0.31/6.20×100/1
0.05×100/1
= 5%
Hence from the above solution, we can now deduce that shovel increased by 2% while bags of salt went up by 5%.
Find the slope of the line
number 5 please help me
Answer:
I think C or D
Step-by-step explanation:
The following table shows the number of miles (d) a car travels in t hours while driving at a constant speed of 55 miles per hour.
t 1 2 3 4 5
d 55 110 165 ? 275
How many miles will the car travel in 4 hours?
Answer: 220 miles
Step-by-step explanation:
Car goes 55 miles in 1 hour.
Constant speed.
Formula is 55t = d.
55 x 4 = 220 miles
Answer:
the guy above is right
Step-by-step explanation:
Someone plz help me giving brainliest
Answer
Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.
Step-by-step explanation:
Find the surface area.
24 in.
40 in.
10 in.
26 in.
Answer:
100 i think
Step-by-step explanation: