NEED HELP ASAP PLEASE WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a rectangle sits on the x-axis. A horizontal vector is 30 degrees from a vector labeled 40 pounds, and is 45 degrees from a vector labeled 35 pounds.
Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?
approximately 37.33° above the ground
approximately 42.27° above the ground
approximately 47.73° above the ground
approximately 53.13° above the ground
Answers
Answer: A. approximately 37.33° above the ground
Step-by-step explanation:
edge2020
The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
What is Vector and how do we do component of a Vector ?In a coordinate plane there are two axis one is x axis and the second one is y axis.If a vector is lying in the coordinate plane then no matter what is its direction, we can always divide it in two components which are x component and y component for easier calculations.If the magnitude of the vector is R, then the magnitude of the X component along x axis will be R cos θ and the magnitude of the Y component along y axis will be R sin θ.We can find the final resultant magnitude and direction of the vector from the components by adding the the components.How to solve this question ?For 30° Vector of 40 pounds :-
If we divide it in components it will become
40 cos 30° Î + 40 sin 30° Ĵ
40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ
34.64 Î + 20 Ĵ ( approximately )
For 45° Vector of 35 pounds :-
If we divide it in components it will become
35 cos 45° Î + 35 sin 45° Ĵ
35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ
24.75 Î + 24.75 Ĵ ( approximately )
Now adding both vectors
( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ ( approximately )
59.39 Î + 44.74 Ĵ ( approximately )
Now Using formula of Tan θ to find the value of θ
( Tan θ = Perpendicular / Base )
Tan θ = 44.74 / 59.39
Tan θ = 0.75 ( approximately )
θ = Tan⁻¹ (0.75) ( approximately )
θ = 36.87° ( approximately )
We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.
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Answer:
1.5
Step-by-step explanation:
3÷2= 1.5
6÷4=1.5
12÷8= 1.5
Given the general identity tan X = , which equation relating the acute angles, A and C, of a right ∆ABC is true?
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Answer:
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Step-by-step explanation:
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Answer:
8.5 hours
Step-by-step explanation:
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Gloria’s washing machine is broken. Since her machine is pretty old, she doesn’t want to spend more than $100 for repairs. A service call will cost $35 and the labor will be an additional $20 per hour. There are no other charges. What is the maximum number of hours that the repair person can work without the total cost exceeding $100?
Answers
Answer:
The actual answer is 3.25
Step-by-step explanation:
I just took the test
the maximum number of hours that the repair person can work is 3.5 hours
Given :
Gloria doesn’t want to spend more than $100.
A service call will cost $35 and the labor will be an additional $20 per hour
Let 'h' be the maximum number of hours the repair can take.
Lets find out the total cost for 'h' hours
35+ additional 20 per hour
[tex]35+20h[/tex]
The total cost should not exceed 100
[tex]35+20h \leq 100\\20h \leq 100-35\\20h\leq 65\\Divide \; by \; 20\\h\leq 3.5[/tex]
So , the maximum number of hours that the repair person can work is 3.5 hours
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A number divided by three less two is at most two
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Answer:
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Step-by-step explanation:
6/3 = 2
can someone help me please. thanks!
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Is this for a test or something?
Simplify Equation
2x+104=90
-140 on both sides of equation
2x=-14
Now divide by x
x=-7
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Bob is having a cookout. He bought 6 liters of seltzer water. How many full 1-pint servings of seltzer can he pour?
(1 L = 2.11 pt)
a. 6
c. 18
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Answers
Answer:
B
Step-by-step explanation:
6 x 2.11 = 12.66
The value of a 1-pint serving of shelter will be 12.66 liters. The correct option is b.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.
Given that Bob is having a cookout. He bought 6 litres of seltzer water. The quantity of water for 1 point of serving is,
Quantity = 6 x 2.11
Quantity = 12.66
The quantity will be equal to 12.66 pints.
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If M(2,3) is reflected in the line y=4, then M' is (6,3)
TRUE OR FALSE???
Answers
Answer:
It is false
Step-by-step explanation:
It's false since M' should be (2,5)
(6,3) is point M reflected about the axis or line: x = 4.
Nell made a pizza.She cut the pizza into fourths.Then she cut each fourth into four pieces.Nell and her friends ate 6 of the smaller pieces of the pizza. What fraction of the pizza did Nell and her friends NOT eat?
Answers
Answer:
5/8
Step-by-step explanation:
They ate 6/16 which the left is 10/16 is 5/8
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Answers
Answer:
-100$
Step-by-step explanation:
Adding a negitive number to a positive number is basically subtracting it, and since 600-100 is 500 that means 600 + -100 is also 500.
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Answer:
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Step-by-step explanation:
Selina walked 2 1/2 miles in 2/3 hour. Dennis 6 3/4 miles in 1 1/2 hours. Who walked faster and how much faster?
Answers
Answer:
Dennis walked faster by 0.75 miles/hr
Step-by-step explanation:
a)Selina's speed
speed= distance
time
= 2.5 miles = 3.75 miles/hr = the slower
2/3 hrs
b) Dennis' speed
speed = distance
time
= 6.75 miles = 4.5 miles/hr = the faster
1.5 hrs
difference in speed:
faster - slower
4.5 - 3.75
=0.75 miles/hr
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What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
To determine Selina's speed
speed = distance/time
speed = 2.5 miles/(2/3) hour
speed = 3.75 miles/hour
To determine Dennis' speed
speed = distance/time
speed = 6.75 miles/(1.5) hour
speed = 4.5 miles/hour
Here Dennis' speed is greater than Selina's speed which means Dennis walked faster.
So the difference in speed = Dennis' speed - Selina's speed
The difference in speed = 4.5 miles/hour - 3.75 miles/hour
The difference in speed = 0.75 miles/hr
Thus, Dennis walked 0.75 miles per hour faster than Selina's speed.
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Which polygon has one set of parallel sides and at least one right angle? On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides and 1 right angle. On a coordinate plane, a polygon has no parallel sides.
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Answer:
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Step-by-step explanation:
i took the test!!!!!
WILL GIVE BRAINLIEST!!!!!!
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Answers
Answer:
/ A = 24°
/ B = 156°
Step-by-step explanation:
Supplementary angles add up to 180°.
_________________________________
Therefore, / A + / B = 180
(9x - 12) + (24x + 60) = 180
9x - 12 + 24x + 60 = 180
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33x = 132
x = 132/33
x = 12/3
x = 4
_________________________________
/ A = (9x - 12)
= (9(4) - 12)
= (36 - 12)
= 24°
/ B = (24x + 60)
= (24(4) + 60)
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A seventh-grade class is playing the Integer Game modified to include rational numbers. Write a multiplication or division equation to answer the following questions with reference to the Integer Game. Show all of your work.
a. Tobias removes three —3.25 cards from his hand. How does this affect the overall point value of the cards in his hand?
The point value of the cards in Tobias' hand will increase.
The point value of the cards in Tobias' hand will decrease.
b. The cards in Iman's hand had a value of 2.75, but then she added five -1.5 cards to her hand. What is the new value of the cards in her hand?
Answers
A Sub
sentence.
DVD Deals
Anthony and Miguel go to the store to purchase some new DVDs. An
advertisement in the window catches their attention.
DVD
T
Deals!
3 for $22,50
5 for $37.50
응
.
Part A (2 points)
Does the information on the sign represent a proportional relationship?
Explain how you know.
6
Answers
Answer: Yes. There's a proportional relationship
Step-by-step explanation:
We are told that Anthony and Miguel go to the store to purchase some new DVDs and that an advertisement in the window catches their attention as they saw that:
3 DVDs cost $22,50. This means the price of one will be:
= $22.50 / 3
= $7.50
5 DVDs cost $37.50. This means that the price for one will be:
= $37.50 / 5
= $7.50
Since the price of a DVD both cost $7.50, it means that the information on the sign represent a proportional relationship.
If 3a - 2 = 10, what is the value of 8a + 1?
Answers
Answer:
8a+1=33
Step-by-step explanation:
you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33
Answer:
33
Step-by-step explanation:
3a-2= 10
3a=12
a=4
in this equation a=4 so you substitute that value into the other equation
8(4) +1=33
Mrs.Johnsons new car has an 18 gallon gas tank. If she can travel 400 miles on one tank of gasoline, what is her miles per gallon rate to the nearest whole number
Answers
Answer:
22
Step-by-step explanation:
400/18=22.222222222
Round to 22
A passenger on a stranded lifeboat shoots two distress flares into the air. The first flare travels a maximum height 196 feet and lands in the water after 7 seconds. The height (feet) of the second flare above the water is given by f(t) = -16t(t-8), where t is time (seconds) since the flare was shot. Which flare travels higher? Which remains in the air longer?
Answers
Answer:
The second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare
Step-by-step explanation:
The given parameters are;
The height of the first flare = 196 feet
The duration the first flare spends in the air = 7 seconds
The function representing the height of the second flair is f(t) = -16t(t - 8)
Where;
t = The time since the passenger shot the second flare
The time the flair stays i the air is given by the time it takes for the height, f(t), to be 0 as follows;
f(t) = 0 = -16t(t - 8)
-16t(t - 8) = 0
t = 0, or t = 8
The time the second flare stays in the air = 8 seconds
The maximum height reached by the second flair is given by the finding the maximum point of the curve of the function as follows;
d(f(t))/dt = 0 = d(-16t(t - 8))/dt = -32t + 128 at the maximum point (the coefficient of t² is negative in the quadratic equation)
-32t + 128 = 0
128 = 32t
32t = 128
t = 128/32 = 4
t = 4 at maximum height and f(4) = -16 × 4 × (4 - 8) = 256 feet
The maximum height reached by the second flare f(4) = -16 × 4 × (4 - 8) = 256 feet.
Therefore, the second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare, with maximum height of 196 feet, and time in the air of 7 seconds.
Three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of ribbon. Who has the most ribbon? How do you know?
Answers
Answer: Baxter
Step-by-step explanation:
To solve this question, we need to know that:
12 inches = 1 foot
36 inches = 1 yard
The number of ribbon for each person will be:
Carol = 42 ribbons
Tino = 2.5 feet = 2.5 × 12 = 30 ribbons
Baxter = 1.5 yard = 1.5 × 36 = 54 ribbons
Therefore, Baxter has the most ribbon
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively. If at the end of the year. Ansah received Gh€ 5.000.00 more than boadu how much was boadu shared?
Answers
Answer:
Step-by-step explanation:
The share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Let 4x be the share of Boadu and 5x be the share of Ansah
4x + 5x = 5,000,00
9x = 5,000,00
x = 55555.55
The share of Boadu = 4x = 4(55555.55) = 222,222.22
Thus, the share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
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mia uses triangle A and says the slope of this line is 6/4.Elena use triangle B and say no,the slope is 1.5
Answers
Incomplete question.