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

Answers

Answer 1

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 2

Answer:

6.3 on edge

Step-by-step explanation:


Related Questions

WILL GIVE BRAINLIEST (two questions but points)

Write the expression as a cube of a monomial: 0.008y^21
Write the expression as a monomial in standard form: (−3xy^2)^3 · (− 2/3x^2y^3)^4

Answers

Answer:

The answer to the first question is (0.2y^7)^3

Step-by-step explanation:

The expression (0.2 × y⁷)³ is a cube of a monomial in standard form and the expression (16/3)x¹¹y¹⁸ is a monomial in standard form.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression below which is given in the question

0.008y²¹

We have to write the given expression as a cube of a monomial in standard form

0.008y²¹

0.2 × 0.2 × 0.2 × y⁷× y⁷× y⁷

(0.2 × y⁷)³

The above expression is a cube of a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

We have to write the given expression as a monomial in standard form

(−3xy²)³· (− 2/3x²y³)⁴

(−3x)³(y²)³· (− 2/3x²)⁴(y³)⁴

x³y⁶· 16/3x⁸y¹²

(16/3)x³⁺⁸y⁶⁺¹²

(16/3)x¹¹y¹⁸

The above expression is a monomial in standard form.

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please hellppp i will mark brainliest ​

Answers

30 degrees it's right

PLEASE HELP ASAP ill mark brainlest

Answers

a. 16 ounces/1 pound

Westin Trading normally nets $6 million per month. The table shows the variance from the average for five months. Sales Above/Below Average (Millions) April May June July Aug. –2.5 Negative 2 and one-half 3.1 –1.6 2 and two-thirds Which comparison is true? Use the number line to help. A number line going from negative 6 to positive 6 in increments of 1.

Answers

Answer:

Westin Trading normally nets $6 million per month. The table shows the variance from the average for five months.

Sales Above/Below Average (Millions)

April

May

June

July

Aug.

–2.5

Negative 2 and one-half

3.1

–1.6

2 and two-thirds

Which comparison is true? Use the number line to help.

A number line going from negative 6 to positive 6 in increments of 1.

               

x June < August

✔April = May

x May > July

x May = August

Step-by-step explanation: took quiz on edge 2021 made 100

The required comparison that is true is that Westin Trading's sales were below average for the five months.

What is Statistic?

Statistics is a field of mathematics that deals with relations between comprehensive data.

Here,
To determine the comparison that is true, we need to find the total variance from the average for the five months and compare it to zero on the number line. We can do this by adding up the variances and dividing by the number of months:

Total variance = (-2.5) + (-2.0) + 3.1 + (-1.6) + 2.67

Total variance = -0.32

Average variance = -0.32 ÷ 5

Average variance = -0.064

Since the average variance is negative, this means that Westin Trading's sales were below the average of $6 million per month for the five months. To compare this to zero on the number line, we can see that the average variance of -0.064 is to the left of zero, which represents the average sales of $6 million per month. Therefore, the comparison that is true is that Westin Trading's sales were below average for the five months.

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Sylvia has 51.78 pounds of dirt. She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket. Are there enough buckets for all of the dirt to be in a bucket?

Answers

Answer:

There isn't enough buckets for all of the dirt to be in a bucket.

Step-by-step explanation:

From the question,

She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket.

Hence, the total number of dirt that can be in the 20 buckets is

20 × 2.56

= 51.20 pounds of dirt

Slyvia has 51.76 pounds of dirt.

51.76 - 51.20

= 0.56 pounds of dirt.

From the above calculation we can say that there isn't enough buckets for all of the dirt to be in a bucket

Whats is the answer to 3-(-7). I cant seem to figure it out

Answers

the answer is 10 because if you add 7 and 4, it gives you 10 because the - is like invisible

How do I find the missing sides?

Answers

Answer:

You would realize that this is a right triangle with angles of 45-45-90. This means that the sides are 1-3 root 2-2. Hope this helps!!

Step-by-step explanation:


What is the slope and Y intercept?

Answers

Answer:

Y intercept = (0,10)

slope is 4

Step-by-step explanation:

Ok so Start with y intercept. That’s the point it crosses the y axis. So that would be ( 0, 10). To find slope, you do rise/run. Or how far up, and how far right. take two points (0,10) and (1, 14)

14-10

——-

1-0

= 4/1 = 4

so the slope is 4.

Please help! I’ll give brainliest!

Answers

Answer:

69

Step-by-step explanation:

all triangles add up to 180.

180-42= 138

138/2 is 69

69+69+42 is 180

69 haha funny number but ya

ILL MARK U BRAINLIEST!

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Because when you look at the chart the orders add up to four.

2
Carter is going on a 16.5
mile hike through the
Grand Canyon. If he wants
to spread out his hike
evenly over the next 6
hours, how many miles
should he hike per hour?
NIC

Answers

Answer:

2.75 miles per hour

Step-by-step explanation:

16.5/6

Which expression can be used to find the value of the expression below? (7/10) + 2/8 + 1/10 - (4/8)

Answers

Answer:

74

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

because I said so duh no and ifs or buts.

What is -18/-6? I am having trouble with negative numbers.

Answers

Answer:

3

Step-by-step explanation:

This is a simple rule with negative numbers, a negative divided by a negative is negative. So, 18/6 is 3, so the answer is 3

Answer:

1.125

Step-by-step explanation:

The symbol " / " is a Divide expression. If you divide both negative or add, subtract and multiply, the anwer will be positive.

-18/-16 =

Exact Form :

9/8

Decimal Form :

1.125

Mixed Number Form:

1 1/8

Tyler height is 57 inches. What could be his height in centimeters​

Answers

Answer: 144.8

Step-by-step explanation:

The sixth graders at Wood Creek Middle School are selling bags of popcorn and candy bars for a fundraiser. The ratio of the total amount of popcorn sold to the total amount of all snacks sold is 4:9, Select all the statements that are correct about snacks sold.

Answers

Answer:

B and D

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!

Answers

T is a point in the line segment SU

SU = ST + TU

SU = 4x

ST = 2x + 6

TU = 4

[tex]4x =( 2x + 6 )+ 4 \\ 4x = 2x + 10 \\ 4x - 2x = 10 \\ 2x = 10 \\ x = \frac{10}{2} \\ \\ x = 5[/tex]

x = 5

ST = 2x + 6 = (5×2) + 6

ST = 16

HOPE THIS WILL HELP....

7 * (-3) =
What Is the answer
This is multiplication

Answers

Answer:

-21

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

7 * 3 = 21 normally, right?

this equation is the same thing, you just have to make it negative!

for the future, remember that positive * negative = negative answer and negative * negative = positive answer. if you remember that, all you have to do is solve the equation normally and then add a negative sign!

I WILL GIVE BRAINLIEST!!! I NEED AN ANSWER FAST!!!!!!!! PLEASE!!!!!!!!! The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

Square root of 5
Square root of 7
5
7

Answers

Answer:

Square root of 5

Step-by-step explanation:

Use process of elimination to eliminate the last two, and square root of 7 is too much

what is the side length of 144 square miles and 134 square miles

Answers

Answer: square root of 144 = 12 miles

Square root of 134 = 11,57 miles

can someone please help me .. will mark brainliest

Answers

Answer:

neither

Step-by-step explanation:

struggling a lot pls help!!!!! ASAP

Answers

Answer:

Its (-2, 0)

Explanation: This is actually very simple because you just simply go left 2 times towards the middle of the two lines crossing each other, and thats -2.  Then after the point doesn't move any farther so its 0.

18 A glider descends 240 meters in 12 seconds. What is the average change in elevation
per second?

Answers

Answer:

It's 20

Step-by-step explanation:

240/12 to find average

average=20

Estimate the quotient: 1,908÷36​

Answers

est: 1900/40=47.5

1908/36=53

Answer:

1,908÷36=53 estimation equals 50

Step-by-step explanation:

It is 50 because 53 is close to 50 not 60 if it equaled 55 or 56 then yeah it would be 60 but in this case it is 50!

Power functions mastery test

Answers

This isn’t a question this is just a statement

Answer:

i'm going fail my test because of this

Step-by-step explanation:

p=E^2/r. Solve for E

Answers

P=E^2/r multiply both side w r
P*r=E^2/r*r
P*r=E^2
Then u need to find the square root of E^2
So the answer is:
Square root of P*r=E
(I dont have the symbol)

Find the oth term of the geometric sequence 5, -25, 125,

Answers

Answer:

-625

Step-by-step explanation:

Here we are basically multiplying each term by -5. So if you want two more terms, you would go like this...

5 × -5 = -25

-25 × -5 = 125

125 × -5 = -625

-625 × -5 = 3125

and so on!!!

Hope it helps and mark it as Brainliest if possible!!! Good Luck!!!

What are the domain and range of g(x) = -1/4 (x-17)^2 + 61?


Answers

Answer:

Step-by-step explanation:

It can not be bigger then 61

The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.

Calculation of the domain and range:

Since the function is g(x) = -1/4 (x-17)^2 + 61

It defined that it is the polynomial and also the whole real number

So based on this, we can say that The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.

hence, the first option is correct.

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Urgent please answer will award brainliest

Answers

B because they don’t intersect at any points

8/15-5/8 eaquals what ?

Answers

Answer:  39/40 but if you need decimal form it’s 0.975

Step-by-step explanation:

Hope this help

4/25 x 10 write your answer as a fraction in simplest form

Answers

The answer is 8/5 or 1 3/5
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