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Gemiola [76]
3 years ago
11

Three forces of sizes 15n,7n and 19n pulling at 120 degrees to each other are acting on a particle. What is the size of the resu

ltant force and the direction
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

10.58 N

Step-by-step explanation:

Let us find component of these forces in x and y direction.

The solution along with diagram can be found in attachment.

We have found resultant in X- direction = 6√3 N

resultant in Y- direction = 2 N

therefore net force resultant force = \sqrt{(6\sqrt3)^2+2^2}

= 10.58 N

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Question 11 . 2 p Brent is considering buying a new circular track for his model train. He estimates that the model's circumfere
neonofarm [45]

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

<h3>What is a circle? </h3>

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: brainly.com/question/24375372

4 0
2 years ago
Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each mo
Mnenie [13.5K]

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

100*3 + 100*2 + 160*1 = 660

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in brainly.com/question/10693932

6 0
3 years ago
Gianni added 1 3/4 cup of pecans and 1 1/3 cup of walnuts to a recipe. How many cups of nuts did Gianni add to the recipe? I NEE
NikAS [45]
C - 3 1/12

Get a common denominator

3*3 / 4*3 + 1*4 / 3*4

Simplifies into 9/12 + 4/12

Adds to 13/12. 

12 goes into 13 1 time, leaving us with 1 1/12

Add the 1 to the 2 full cups that already existed in the original problem - 3 1/12
5 0
3 years ago
John and Samuel had a challenge. John told Samuel that 12 x 12=9. What strategy did John use to come up with his answer as 9? Ex
kondor19780726 [428]

Answer:

John added 1 +4 +4 to get 9 (12x12 = 144)

Step-by-step explanation:

12x12 actually equals 144

1 + 4 +4 = 9 so it appears John just added all the digits of 144 to get 9

8 0
3 years ago
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
nexus9112 [7]

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393

5 0
3 years ago
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