39. Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a
cable. If the length of the cables are 72 meters and 77 meters and the tugboats are 35 meters
apart, find the angle formed between the cables.
Answers
Answer:
[tex]26.903^{\circ}[/tex]
Step-by-step explanation:
a = 77 m
b = 72 m
c = Distance between the tugboats = 35 m
[tex]m\angle C[/tex] = Angle between the cables
[tex]c^2=a^2+b^2-2ab\cos C\\\Rightarrow m\angle C=\cos^{-1}\dfrac{c^2-a^2-b^2}{-2ab}\\\Rightarrow m\angle C=\cos^{-1}\dfrac{35^2-77^2-72^2}{-2\times 77\times 72}\\\Rightarrow m\angle C=26.903^{\circ}[/tex]
The angle formed between the cables is [tex]26.903^{\circ}[/tex].
Related Questions
If C = x + 8 and D = 2x + 10, find an expression that equals 2C + 3D in
standard form.
Answers
Answer:
[tex]8x+46[/tex]
Step-by-step explanation:
Insert the original values of C and D into the new expression:
[tex]2(x+8)+3(2x+10)[/tex]
Simplify the expression. Use the distributive property:
[tex]2(x)+2(8)+3(2x)+3(10)\\\\2x+16+6x+30[/tex]
Combine like terms:
[tex](2x+6x)+(16+30)\\\\8x+46=2C+3D[/tex]
:Done
Find the value of n that makes DEF-XYZ when
DE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1, and
Answers
Answer: n=3
Step-by-step explanation:
Understand that you need to set up a proportion before you can try to solve the question through guessing. In this case, YZ would be proportional to XY as EF is proportional to DE. You would write this as: EF/DE=YZ/XY.
Now you want to write an equation. In order to do this remember to multiply by your proportion. Here’s my equation:
5/4(4n+4)=7n-1. Now distribute:
5n+5=7n-1. Now simplify:
6=2n. Now simplify again:
n=3
Hope this helps you with your big ideas math hw!
The value of is n=3
Important information:DEF-XYZ whenDE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1.The calculation is as follows:5/4(4n+4)=7n-1.
Now distribute:
5n+5=7n-1.
Now simplify:
6=2n.
n=3
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults
-7 - 2 ..........................................................
..
Answers
Answer:
-9 is the answer
Step-by-step explanation:
hope it helps!
What percent of 12 is 24
Answers
Answer:
200%.
100% of 12 is 12 since for example if a coat is 10$ and 100% off then its now 0$. Therefore 200% is twice of 12 making it 24.
24=200% of 12
Step-by-step explanation:
1.) Calculate the length of the diameter, radius, area, and circumference for each of the following circles.
Remember to show your work!
1. Diameter:
Area:
Radius:
Circumference:
2. Diameter:
Area:
Radius:
Circumference:
Answers
Answer:
Step-by-step explanation:
A.
Diameter : 14 inches
Radius : 7 inches
Circumference: 2 • 3.14 • 7 = 43.96
Área: 7^2 • 3.14
B.
Diameter: 18 cm
Radius: 9 cm
Area: 9^2 • 3.14 Ex R^2 • 3.14
Circumference: 2 • 3.14 • 9 = 56.52
R • 3.14 • 2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 17\4 as a mixed number. You must show your work to receive all possible points.
Answers
Answer:
17/4 divided by 4 = 4 and 1/4
Step-by-step explanation:
In order to find the mixed number you have to divide the numerator by the denominator.
what is the answer to this promblem
Answers
9514 1404 393
Answer:
to eliminate x: multiply the first by 3, and the second by -4to eliminate y: multiply the first by 2, and the second by 5Step-by-step explanation:
Pick the variable you want to eliminate. Determine the coefficients of that variable in the two equations. Negate one of them. Multiply each equation by the coefficient that came from the other equation.
__
To eliminate x
The x-coefficients are 4 and 3. If we negate 4, then the resulting y-coefficient will be positive. We choose to multiply the first equation by 3, the second by -4.
Here is the result of adding those:
3(4x +5y) -4(3x -2y) = 3(7) -4(-12) ⇒ 23y = 69
To eliminate y
The y-coefficients are 5 and -2. If we negate -2, then the resulting x-coefficient will be positive. We choose to multiply the first equation by 2 and the second by 5.
Here is the result of adding those:
2(4x +5y) +5(3x -2y) = 2(7) +5(-12) ⇒ 23x = -46
Answer:
Step-by-step explanation:
to kill x: duplicate the primary by 3, and the moment by -4 to eliminate y: increase the primary by 2, and the moment by 5 Step-by-step explanation: Pick the variable you need to eliminate. Decide the coefficients of that variable within the two conditions. Refute one of them. Increase each condition by the coefficient that came from the other equation. __ To dispense with x The x-coefficients are 4 and 3. On the off chance that we invalidate 4, then the coming about y-coefficient will be positive. We select to increase the primary condition by 3, the moment by -4. Here is the result of including those: 3(4x +5y) -4(3x -2y) = 3(7) -4(-12) ⇒ 23y = 69 To dispose of y The y-coefficients are 5 and -2. If we nullify -2, at that point the coming about x-coefficient will be positive. We select to duplicate the primary condition by 2 and the moment by 5. Here is the result of including those: 2(4x +5y) +5(3x -2y) = 2(7) +5(-12) ⇒ 23x = -46
hope this helps
help me please if you can tell me the answer
Answers
Answer:
a
Step-by-step explanation:
Answer: Im pretty sure that its D
Step-by-step explanation:
pls dont be mad if its wrong
On Saturday morning, Owen earned $24 raking leaves. By the end of the afternoon he had earned a total of $62. Write an equation to determine whether Owen earned $38 or $31 on Saturday afternoon.
Answers
Answer:
62-24=38
or 24 + x = 62
Step-by-step explanation:
The equation to determine whether Owen earned $38 or $31 on Saturday afternoon ⇒ $24 + $ x = 62.
What is Meant by Solution of a Linear Equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
According to the questions,
On Saturday morning, Owen earned $24 raking leaves.
By the end of the afternoon he had earned a total of $62.
The equation to determine whether Owen earned $38 or $31 on Saturday afternoon.
⇒ $62 - $24 = $38
⇒ $24 + $ x = 62
Hence the required equation is $24 + $ x = 62.
To learn more on linear equation click :
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A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and
P(-8,-8). What is the length, in units, of NO?
Answers
Answer:
[tex]d\approx 16.16\ units[/tex]
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The triangle formed by the points N (7,3), 0(-8, -3), and P(-8,-8) is shown in the image provided.
We are required to find the distance between N and O:
[tex]d=\sqrt{(-3-3)^2+(-8-7)^2}[/tex]
[tex]d=\sqrt{(-6)^2+(-15)^2}[/tex]
[tex]d=\sqrt{36+225}[/tex]
[tex]d=\sqrt{261}[/tex]
Since 261=9*29:
[tex]d=3\sqrt{29}[/tex]
[tex]\mathbf{d\approx 16.16\ units}[/tex]
fre ponts but so this doesnt get taken down whats 34+48b+12b=234
Answers
Answer:
thx lol
Step-by-step explanation:
Answer:
Thanks have an awsome day :)
Step-by-step explanation:
3 and _ had the same absolute value
Answers
They are both the same distance from zero (definition of absolution value)
Answer:
-3
Step-by-step explanation:
absolute value means how far the number is from 0 so 3 and -3 are both 3 away from 0
Subtract -7x^2+4x+2 from x^2-3x
Answers
Answer:
-8x^2+x+2
Step-by-step explanation:
What Is the Cost of Living? The cost of living is the amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time period. The cost of living is often used to compare how expensive it is to live in one city versus another. The cost of living is tied to wages.
Answers
Answer
wrong topic, this is about economics
I do not know what to do!! Please help me with this assignment!
Answers
Answer:
Equation of the line is y = x + 1
Standard Form: x - y = 1
Step-by-step explanation:
Ax + By = C
y = x + 1
-x + y = 1 ("A" must be positive)
x - y = -1
Select the correct answer.
Which point represents the outlier in the scatter plot?
A.
(2, 4)
B.
(5, 10)
C.
(9, 10)
D.
(10, 9)
Answers
Answer:
D.
Step-by-step explanation:
Answer
The answer is D (10,9)
Step-by-step explanation:
i took the test on edmentum and got it right
Can someone please help me with number 2 I need this right so I don’t fail my class
Answers
Answer:i really wish i could help
Step-by-step explanation:
y=12x=25 help please
Answers
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
A football team has $3,744 to spend on hats for their fans. Each hat costs $8. How many hats can the team buy?
Answers
Answer:
468
Step-by-step explanation:
3,744/8=468
Round 0.6203 to
the tenths place
Answers
Answer:
0.6
Step-by-step explanation:
I know someone answered but let me explain. After the decimal point, we go to the “th’s.” So tenths, hundredths, thousandths, and so on! Now your looking at the tenths place. If your rounding up, you have to look at the next one (so the hundredths place which is the 2.) If it’s 5 or greater than 5, it goes up, but it’s not, so it would be just a 6. Hope that helps you or anyone else!
Question 3
On problem #10, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation
Answers
Answer:
A = Hard to do, B = Easiest, C = Pretty Easy, D = Hard
Step-by-step explanation:
Step 1:
5x - 2y = -18
x - 8y = 80
__________
Step 2:
4(5x - 2y) = (-18)4
20x - 8y = -72
__________
Step 3:
20x - 8y = -72
x - 8y = 80
__________
Step 4:
21x = ?
Also, this equation isnt a substitution question, the way to solve this is by using elimination, you can tell because the values are lined up perfectly, sub. is used when y/x, is on the bottom left or right, and the other is on the opposite.
(if this makes any sense)
If this is accurate please mark it with a brainliest :)
pls help! will give brainlist!
write a story that can describe the expression:
75x - 20
Answers
-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?
Answers
Answer: x≥-3
Step-by-step explanation:
-(4x-5)+16x≥-31
-4x+5+16x≥-31
12x+5≥-31
-5 -5
12x≥-36
12/12x≥-36/12
x≥-3
hope this helped :)
Danny is opening a saving account. His initial deposit was $100. He makes $25 a week mowing his neighbors lawns, and he plans to put his earnings into the savings account each week. Write an equation in slope intercept form to model the amount of money in the bank account, y, after x weeks.
Answers
Answer:
y=100x+25
Step-by-step explanation:
I'm assuming you need an equation for this.
the answer is y = 100x + 25 or 25(4x+1)
Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.
Answers
Answer: C
Step-by-step explanation: Just did khan academy
Can u please help i put extra points please explain to!
Answers
Answer:
5 over 8
Step-by-step explanation:
convert the mixed numbers to improper fractions then divide them and simplify
equation: 7/2 ÷ 40/7 = 50/80 or simplify to 5/8
*the slash is supposed to be the line that separates the top and bottom number in the fraction*
if x = 2, and y = 4, then x^y =
Answers
Answer:
16
Step-by-step explanation:
[tex]x^{y} = 2^{4}=16[/tex]
Could you help me, pls? :c
Answers
Answer:
lolshdusudyudhdgfhfhd
Answer:
17
Step-by-step explanation:
if a=2 then
4(2)-2x is greater than or equal to 13(2)
8-2x is greater than or equal to 26
You now have to find the smallest number that will accurately fit this equation. In this case it is 17.
8-2(17) is greater than or equal to 26
8-34 is greater than or equal to 26
26 is greater than or equal to 26
Hope this helps :)
Find the value of x for which m ll n
Answers
Can anyone by chance know how to do these geometry questions?
Answers
Answer:
G is equal to (8, -11)
Step-by-step explanation:
We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:
[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]
So the coordinates of endpoint G are (8, -11)