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
Plz, answer the question in the photo below.
Answers
Answer:
B
Step-by-step explanation:
I hope this helps you out!
Answer:
yes it is b
Step-by-step explanation:
Starting out 1 PM the temperature changes -4°F per hour write and solve an equation to determine how long it will take for the temperature to reach -1°F F at1 PM the temperature is 35°F
Answers
Answer:
i dunno man you worded it weird
Step-by-step explanation:
Mr. Zahbor has a balance on his credit card of $212.45. He writes a check for $165.45. After he has paid, how much more will he need to pay to have a zero balance?
Answers
Answer:
$47
Step-by-step explanation:
3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no
Answers
9514 1404 393
Answer:
(g, b) = (70, 0), (56, 10), (42, 20)
Step-by-step explanation:
The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.
The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).
Of those listed, the possible combinations are ...
(g, b) = (70, 0), (56, 10), (42, 20)
Please HELP ME Ill GIVE BRAINLIEST!!!
A kennel in Bloomington offers daily boarding for dogs. The table below has the cost for different intervals. Which equation best represents this functional relationship?
Answers
Step-by-step explanation:
The patter is multiplying buy 20 after each number.
PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?
Answers
Answer:
the answer is c
Step-by-step explanation:
good luck
Answer:
last option
Domain: -3,-1,2,5 Range: 0,2,4
It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!
Step-by-step explanation:
The domain is the x values and the range is the y values.
Hope this helps!
Identify the range of the function.
A) (-4,4)
B) [-4, 4]
C) (-4,4]
D) (-4,4)
Answers
Answer:
C) (-4, 4]
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
From the graph we see that our y-values span from -4 to 4. When y = -4, it is a open dot, meaning it is exclusive. When y = 4, it is a closed dot, meaning it is inclusive. Therefore, our range is:
(-4, 4] or -4 < y ≤ 4
Answer:
-4,4
Step-by-step explanation:
Tessa's class had a math exam
Answers
Answer:
is dis a question. .......?????
The theater sells two types of tickets: adult tickets for $14 and child tickets for $6.
Last night, the theater sold a total of 438 tickets for a total of $5012. How many adult tickets did the theater sell last night?
Answers
Answer:
Number of adult tickets = 298
Number of child tickets = 140
Step-by-step explanation:
Number of adult tickets = a
Number of child tickets = c
a + c = 438 -------------------(I)
14a + 6c = 5012 ----------------(II)
Multiply equation (I) by (-6) and then add, so c will be eliminated.
(I) * (-6) -6a - 6c = -2628
(II) 14a + 6c = 5012 {Add}
8a = 2384
a = 2384/8
a = 298
Plugin a = 298 in equation (I)
298 + c = 438
c = 438 - 298
c = 140
Which correctly describes how the graph of the inequality -5x+3y>9
Answers
I need help I don’t understand this :)
Answers
Answer:
Answer
Step-by-step explanation:
OK, there are 360 students in the whole school and 15 classes there, too.
Each class has an EVEN amount of students, so simply, all you need to do is divide (360 divided by 15)
In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.
Answers
Answer:
105.3
Step-by-step explanation:
deltamath
I will give you 40 points if you answer correctly
What is the distance of segment FG?
Answers
Answer:
dmfirnwudodnwbdovnwidovnwjchehqodnvnwocnfbwbxocjejajxkfek
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
If each bottle costs the same amount, how much is each bottle of juice?
Answers
Answer:
$0.77
Step-by-step explanation:
To find how much each bottle of juice costs, divide 2.31 by 3:
2.31/3
= 0.77
So, each bottle of juice is $0.77
Answer: $0.77
Step-by-step explanation:
the total cost of three bottles is $2.31 because each bottle cost the same amount we can divide by 3 to get our answer.
6 times a number x minus 3 is less than 15.
Answers
Answer:
6x - 3 < 15
Step-by-step explanation:
6x - 3 < 15
Hope this helps!!!
Happy holidays!
''The world shall know pain'' Me: Pain or Pain???????????????
Answers
Answer:
PAIN
Step-by-step explanation:
There are 120 bouncy balls in a display bin. Of the bouncy balls in the bin, one-half are priced at $0.25 each, one-fifth are priced at $0.75, and the remaining bouncy balls are priced at $1.50. What is the total value of the bouncy balls in the bin? Write a numerical expression that can be used to solve the problem. Then solve it.
Answers
Answer:
$87
Step-by-step explanation:
Total bouncy balls = 120
one-half are priced at $0.25 each
1/2 of 120
= 1/2 × 120
= 120/2
= 60
Price of 1/2 = 60 × $0.25
= $15
one-fifth are priced at $0.75
1/5 of 120
= 1/5 × 120
= 120/5
= 24
Price of 1/5 = 24 × $0.75
= $18
Remaining bouncy balls = 120 - 60 - 24
= 36
Price of remaining balls = 36 × $1.50
= $54
Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls
= $15 + $18 + $54
= $87
HELP!!!!
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
A. 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
B. 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
C. 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
D. 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is A/or 4x + 89.95 = 628.35; x = $134.60
Step-by-step explanation:
Find the slope of the line that passes through (5,2) and (9,6).
Answers
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
if a number is tripled , it give same result as 28 is added to it find the number
Answers
Given :
If a number is tripled , it give same result as 28 is added to.
To Find :
We need to find that number.
Solution :
Let, the number is x.
Mathematical equation of the given scenario is :
3x = x + 28
3x - x - 28 = 0
2x - 28 = 0
x = 14
Therefore, the which give such result is 14.
Answer:
Answer :>
Step-by-step explanation:
Given :
If a number is tripled , it give same result as 28 is added to.
To Find :
We need to find that number.
Solution :
Let, the number is x.
Mathematical equation of the given scenario is :
3x = x + 28
3x - x - 28 = 0
2x - 28 = 0
x = 14
Therefore, the which give such result is 14.
T-T thank you
Simplify 1/2+2/3-1/4
Answers
Answer:
11/12
Step-by-step explanation:
How many 2/3-quart portions are in 7 1/2 quarts of soup?
Answers
How many 2/3-quart portions are in 7 1/2 quarts of soup?
8
R = {(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1)} find domain and range
Answers
Domain: {( -3, 0, 1) Range: {( -4, -2, 1, 3)
Domain is the numbers that fall into the x axis and Range is what falls under the y axis. But when you’re listing Domain and Range it always goes from least to greatest and if you have repeating numbers only list them once.
Find the Midpoint of the coordinates (-1,4) and (5,7)
Answers
Answer:
[tex](2,\frac{11}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (-1, 4)
Endpoint (5, 7)
Step 2: Find midpoint
Substitute: [tex](\frac{-1+5}{2},\frac{4+7}{2})[/tex]Add: [tex](\frac{4}{2},\frac{11}{2})[/tex]Divide: [tex](2,\frac{11}{2})[/tex]Answer:
(2 , 5.5)
Step-by-step explanation:
Use the midpoint formula
Blank% of 35 = 21 percent equations
Answers
Answer:
60%
Step-by-step explanation:
60% of 35 = 21
PLEASE HELP EXPLAIN MEHOW TO SOLVE THIS I WILL GIVE THE BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
We require to calculate the circumference (C) of the pizza
C = 2πr ( r is the radius )
here r = 10, then
C = 2π × 10 = 20π
Now divide the circumference by 4, for number of pieces, that is
number of pieces = [tex]\frac{20\pi }{4}[/tex] = 5π ≈ 15.7073...
Thus 15 full pieces can be cut from the pizza
Help me please, i need to get my grade up from a 28 in my class
Answers
Answer:
y = f(x+3) - 5.
Step-by-step explanation:
In general, the equation y = f(x-h) + k shifts the graph of f(x) h units to the right and k units upward. This graph shifts f(x) 3 units to the left (-3 units to the right) and 5 units downward (-5 units upward).
Therefore, the equation for the shifted graph is y = f(x-(-3)) + (-5), or simply y = f(x+3) - 5.
A haircut cost $15. I left a 20% tip. How much was the haircut including the tip? PLEASE ANSWER WITH WORK
Answers
Answer:
$18
Step-by-step explanation:
15*.2=3
15+3=18
The haircut is $18 with tip included.
Answer:
$18
Step-by-step explanation:
15 haircut tip 20%
15 x .20= 3
15 + 3 = 18
divide the percent by 100 to get it in decimal form.
How many terms does the polynomial have? 2p2q−3pq 1 2 3 4
Answers
Answer:
Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
Step-by-step explanation:
what would you do if u got hurt really bad and how would u deal with it???? 5 sentences
Answers
Answer:
I would call for help, calm myself down, and try not to cause a scene. once I get help I won't panic or the situation will get worse. I'll stay positive and let my self heal for however long I need to rest for. Then when i'm better i'll make sure not to make the same mistake again and be more careful.
Step-by-step explanation:
