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:
What is the measurement of the letters ??? Please help
Answer:
104
Step-by-step explanation:
Subtract 36 from 140. DBC is part of ABC, so subtracting will get you the other part.
Write the ratio as a fraction in simplest form. 5 meters : 20 meters
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the ratio
5 m : 20 m ← divide both parts by 5
= 1 : 4
= [tex]\frac{1}{4}[/tex] ← as a fraction in simplest form
2. Sarah has some blue marbles, twice as many red marbles as blue, and 8 yellow marbles. If she has a total of 32 marbles, how
many red marbles does she have?
A.8
B.12
C.16
D.24
Given:
Number of blue marbles, twice as many red marbles as blue, and 8 yellow marbles.
She has a total of 32 marbles.
To find:
The number of red marbles.
Solution:
Let number of blue marbles be x.
Then, number of red marbles = 2x
Number of yellow marbles = 8
Total number of marbles = 32
[tex]x+2x+8=32[/tex]
[tex]3x=32-8[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now,
Number of red marbles [tex]=2(8)=16[/tex]
Therefore, there are 16 red marbles.
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Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego’s measurement. Explain your choice. [3 point]
4.3%
4.5%
95.7%
104.5%
Answer: its either a or b
Error is the difference between the actual length of an object and its measured length.
The closest to the percent error for Diego's measurement is 4.3%
Step 1: Find the error
Error = Actual length - Measured length
= 23cm - 22cm
= 1 cm
Step 2: Find the percent error
Formula = Error/ Actual length × 100
= 1 /23 × 10
= 4.35%
Therefore, the closest to the percent error for Diego's measurement is 4.3%
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The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x
Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
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Yosemite Falls is the highest waterfall in North America and the fifth highest in the world. When viewed from the valley, it appears to be a single waterfall. However, it actually has three parts. The upper fall has the longest drop of 1430 feet. The middle cascade is 675 feet long, and the lower fall drops another 320 feet. What is the total length that the water falls?
Answer:
The water falls a total length of 2,425 feet
Step-by-step explanation:
In order to calculate the total length of the waterfall, we will find the sum of the three parts of the waterfall.
Length of upper fall = 1430 feet
Length of middle cascade = 675 feet
Length of lowe fall = 320 feet
Total length of fall = (Length of upper fall) + (Length of middle cascade) + (Length of lowe fall)
= 1430 + 675 + 320 = 2,425 feet
Total length that the water falls = 2,425 feet
Give a possible factorization of the following polynomial
EXPLAIN the behavior at each zero and
how that is represented in your function.
Answer:-4
Step-by-step explanation: that is the highest point it reaches on the y axis
Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75
1.Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answer:
9 miles
Step-by-step explanation:
If 1 hour is 12 miles, then 30 mins is 6 miles, then 15 minutes is 3 miles.
30+15=45
6+3=9
The first cyclist bikes 9 miles in 45 minutes.
Since two cyclists are 7 miles apart when they begin biking away from each other in opposite directions, and the speed of the first cyclist is 12 miles per hour, to determine how many miles does the first cyclist bike in 45 minutes the following calculation must be done:
60 = 12 45 = X 45 x 12/60 = X 540/60 = X 9 = X
Therefore, the first cyclist bikes 9 miles in 45 minutes.
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I will give Brainlyest if you are first
Answer: -4/7
brainiest pls
HELP PLEASE ITS DUE TODAY
Answer:
6/10, 9/15, 12/20, 15/25, 18/30, etc so Edgar is wrong. 3/5 is not equivalent to 18/32
Step-by-step explanation:
(Gimme Brainliest Please)
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
i neeeeddddd one moreeeee
i need big help thanks
Answer:
The circle was translated down 5 units and dilated by a factor of ⅓.
Two friends argue over who brushes their teeth more often. Who is more likely to brush both morning and evening? Assume all events are independent. Multiple choice answers in picture below
Answer:
d
Step-by-step explanation:
Divide
(x^5+32) divide by (x+2)
help me solve this
marked as brainless if correct
Answer:
Use synthetic division to solve
Step-by-step explanation:
When dividing a polynomial by a zero, you first want to find the zero to divide by. Solving the zero (x+2) will give us the value of x to divide by. Subtracting 2 from each side gives us x=-2. Then, we write out the full polynomial. Since the only degrees that have numerical values are x^5 and 32, we substitute zero for the values in between (0x^4, 0x^3, 0x^2, and 0x). Then we follow the steps of synthetic division (as seen in the photo) to find our new values for our new equation.
What is the value of y in the picture
A. 83
We can see that the Y value is less than 90 degrees or right angle. So we can cross out answer options C and D.
And we should know that all of the triangles add up to 180 degrees.
So the math would do is:
46+51=97
180-97=83
So...
The Y value is 83.
Also, can I pls, pls, pls have brainliest?? I need 1 more brainliest and about one hundred more points to lvl up!!
Rachel has already written 10 pages, and she expects to write 1 page for every additional hour spent writing. How many hours will Rachel have to spend writing this week in order to have written a total of 27 pages?
Answer:
27?
Step-by-step explanation:
because 1 page per 1 hour leads up to 27 hours for 27 pages. Or if your not counting the 10 pages she has already written, she spent 17 hours.
What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed
Answer:
Step-by-step explanation:
fhv
A baker needs sugar syrup that is 40% sugar. How many gallons of water should he add to 5 gallons of 70% sugar syrup to make the 40% syrup? Pls help. Will give 10 points and brainliest.
Answer:
15/4
Step-by-step explanation:
trust meee
Answer:
3.75 gallons should be added
Step-by-step explanation:
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answer: 53.33
Step-by-step explanation:
CAN SOMEONE ANSWER THIS PLEASE
Margie bought 1 1/2
pounds of tomatoes for $2.00 per pound,
1/4 pound of onions for $1.60 per pound, and 1 pound of apples for $1.65 per pound. How much did she pay for her total purchase?
Answer:
She spent $5.05 for her total purchase.
Step-by-step explanation:
First, you should convert the fractions into decimals to make it easier, which would make it, 1.5, .25, 1.
Second, multiply 1.5 by 2 because there are 1.5 pounds which are payed for $2.00. Do the others fractions corresponding with the number of pounds and the cost this same way. 1.5 multiplied by 2 is 3. .25 multiplied by 1.60 is 0.4, 1 multiplied by 1.65 is 1.65.
Lastly, Add it all up, 3+0.4+1.65=5.05
Answer:
M
Step-by-step explanation:
Help pleaseeeee ! for a friend
Answer:
35=6X
Step-by-step explanation:
X can be the number of times Mr. O goes to Starbucks
Hey,
35 = 6X
-----------------------------------------------------------------------------------------
When = 3, what will the value for y be for the equation - 4x + 5y = 18?
If x equals 3 then y must equal 1.2
Answer: y=6
-4(3)+5y=18
-12+5y=18
add 12 to both sides
-12+5y+12=18+12
5y=18+12
5y=30
divide both sides by 5
5y÷5=30÷5
y=30÷5
y=6
I hope this is good enough:
What are the steps on how to copy an angle? (Geometry)
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
MY BROTHER NEEDS A TUTOR ASAP, HE IS CRYING BECAUSE HE IS FAILING SCHOOL....xdd
Please contact me, my number is 226-909-7821
Answer:
hello from what subject math?
Answer: Oh no, what subjects? <3
Can someone please help me ty!!
Answer:
1.) (k)=6
2.) y=6x
3.) (8,48)
4.) (k)=4
5.)y= 1/4x
6.) (12,3)
I hope this is good enough:
how many elements does this matrix have
Answer:
2
Step-by-step explanation:
Answer:
1 row 2 column
Step-by-step explanation:
Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v
Answer:
50+10v should be the right answer.
