Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9
The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.
What is the formula for determination of angle of the resultant vector ?The resultant angle between the vectors is given by
[tex]\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}[/tex]
The two forces have magnitude of 17.3 and 42.5 pounds.
The angle of the resultant vector is
[tex]\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}[/tex]
[tex]\rm \theta = tan^{-1}[/tex] (6.453/58.55)
[tex]\rm \theta[/tex] = 6.2886 degree = 6.3 degree.
Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.
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Answer:
6.3 on edge
Step-by-step explanation:
I-pod Touch for $229.99. The tax rate is 4%. What is the tox
Answer:
the tax is $9.20
At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?
75 people
80 people
65 people
70 people
What method would i use to solve this?
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We are given that 1 light year ≈ 5.9 x 10¹² miles
so: the Coefficients for the problem are mathematically given a
Coefficients =2.4 x 5.9
Coefficients = 14.16
For Exponents;
Exponents= 10² x 10¹² = 10⁽²⁺¹²⁾
Exponents =10¹⁴
In conclusion, we put them together once again to produce a scientific notation;
14.16 x 10¹⁴
1.416 x 10¹⁵ miles
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
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A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
What is Two-thirds divided by one-sixth?
Answer:
4
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?
Answer:
The answer is 125%
Step-by-step explanation:
Fraction calculator
Four lines are drawn on a coordinate plane to form trapezoid WXYZ.
A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3).
Which statements are true about the lines? Select three options.
Answer:
A,C,D
Step-by-step explanation:
Answer:
A C D
Step-by-step explination
it just is
write the missing decimal so the each pair adds to 1
Answer:
top one is 0.6 bottom one is 0.1
Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.
3x-9=x-8
what is X??
Answer:
x=½
Step-by-step explanation:
3x-9=x-8(Group like terms)
3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).
2x=1(Divide both sides by 2)
x=½
Answer:
0.5
Step-by-step explanation:
3x-9=x-8
3x=x-8+9
3x=x+1
3x-x=+1
2x=+1
x=1/2
x=0.5
Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or equal to x is less than or equal to 90 degrees
Answer:
90°Step-by-step explanation:
Given the trigonometry equation;
[tex]2sin^2 x -sinx -1 =0[/tex]
Step 1; Let p = sin(x) to have;
[tex]2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0[/tex]
Step 2: factorize the resulting quadratic equation:
[tex]2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \ P-1 = 0\\P = -1/2 \ and \ P =1[/tex]
Step 3: Find x:
when p = 1
sin(x) = 1
[tex]x = sin^{-1}1\\x = 90^0[/tex]
also when p -1/2
sin (x) = -1/2
[tex]x = sin^{-1}-1/2\\x = -30^0\\[/tex]
[tex]x = 180-30\\x = 150^0[/tex]
Since 150° is not within the range 0<x<90, then the only solution is 90°
Asapppp, plssss help meee :(
What is 3÷4? Draw a diagram that explains how you know.
Answer:
3 divided by 4 is 0.75
Step-by-step explanation:
Answer:
Answer: 3 divided by 4 is 0.75 .
Step-by-step explanation:
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
Just got a 100 point question skim answered HA
Answer:
THis is not a question
Step-by-step explanation:
Question in picture pls hurry im timed
Answer:
256
Step-by-step explanation:
4*4*4*4=256
Hope this helps!!
How do I find the missing sides in the triangle?
Answer:
x=14 y=10
Step-by-step explanation:
Shala bought a pen on sale. She saved 17 percent of the original price of $29. About how much money did she save?
$1
$5
$10
$20
Answer:
it is 5
Step-by-step explanation:
Please help me with this
Step-by-step explanation:
3/4 x 11/11 = 44
7/12 x 5/5 = 35/60
18/72 = 6/6 x 3/12
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
This is really hard can anyone help it's due in 20 minutes
Answer:
The answer would be B if right mark brainliest
Answer:
I believe it's A
Step-by-step explanation:
Which is the equation of a line that has a slope of 4 and passes through point (2,5)?
y= 4x-2
y= 4x+6
y=4x+2
y=4x-3
Answer:
y = 4x - 3
Step-by-step explanation:
I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)
Answer: D
Step-by-step explanation:
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answer:
they made 3 batchs
Step-by-step explanation:
Assume that the following statements are true A: if Sam is drinking milk. Then it is lunchtime B: if it is afternoon then Julio is drinking water and nothing else C: if it is breakfast time then Sarah is drinking juice and nothing else D: if it is lunch time then Kira is drinking milk and nothing else E: Sam is drinking milk using only the information given above determine if the following must be true, maybe true, or is not true. Explain you reasoning. It is bedtime?
Answer:
Not true
Step-by-step explanation:
A says that if Sam is drinking milk it is lunchtime and E says that he is drinking milk, so it is lunchtime and not bedtime.
Which statement correctly compares the function shown on this graph with
the function y = 2x - 5?
Answer:
c is the answer
Step-by-step explanation:
Please help! I will give brainlist, if I can
your awnser is C
Step-by-step explanation:
cause you'll need to multiply 1.05 × 15 then divide by 100
b. The total cost (1) after 8% sales tax is added to an item's price (p): 1.08p =
=f
Is there a proportional relationship
Answer:
No
Step-by-step explanation:
Yes, there is a proportional relationship between the total cost (f) after 8% sales tax is added and the item's price (p).
Here,
In this case, the total cost (f) is calculated by multiplying the item's price (p) by 1.08 (which is 100% + 8% sales tax in decimal form).
Mathematically, this can be represented as:
f = 1.08p
The equation shows that the total cost (f) is directly proportional to the item's price (p) with a proportionality constant of 1.08.
This means that as the item's price (p) increases, the total cost (f) will also increase proportionally by 8% due to the added sales tax.
Similarly, if the item's price (p) decreases, the total cost (f) will also decrease proportionally by 8%.
This relationship holds true for all values of p and f as long as the sales tax rate remains constant at 8%.
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