Use the equation n2 n = 56 to determine which figure has 56 blocks. figure has 56 blocks.

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex]     (1)

[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex]   (2)

[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex]   (3)

Where [tex]\theta[/tex] is resultant angle, measured in degrees.

If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:

[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]

[tex]\vec r = (-54.824, 18.531)[/tex]

[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]

[tex]\|\vec r\| \approx 57.871[/tex]

[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]

[tex]\theta \approx 198.676^{\circ}[/tex]

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]

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I think the answer will be:

C but i not that sure

Answer:

C. Because we are multiplying 7 by a fraction that is greater than 1.

Step-by-step explanation:

- Sumin -

Answer:

  D

Step-by-step explanation:

As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.

Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).

Checking the offered expressions when m2=0, we have ...

  A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)

  B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)

  C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)

  D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for

Step-by-step explanation:

9, 10,11, 13,18,19,20,23,25,26,29,30,31,31,33,34,37,39,41,42,50,51,51,63,64,73,76,86,89,91

Answer:

9, 10, 11, 13, 18, 19, 20, 23, 25, 26, 29, 30, 31, 31, 33, 34, 37, 39, 41, 42, 50, 51, 51, 63, 64, 73, 76, 86, 89, 91

According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

To determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:

Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

Learn more about probability in https://brainly.com/question/27272615

(x+2)² + (y+6)² = 64

Given:

=============

Formula's:

===========

equation:

Answer:

16

Step-by-step explanation:

sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation

W = 4(4)

w = 16

Answer:

Yes it can!

Step-by-step explanation:

The 2 shortest sides how to be bigger than the longest sides when combined

7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.

Answer:

Step-by-step explanation:

If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.

If this is a non-right angle triangle then yes.

Answer:

Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

10 squared is 100cm. 100cm*3.14 equals 314cm.

The area of the circle is [tex]314cm^{2}[/tex]

Answer:

40,560

Step-by-step explanation:

To find how much the farmer recives, we simply multiply:

62,400 * 65% = 40,560

Answer:

the answer is a

Step-by-step explanation:

Answer:

B. 24 horses and 50 humans

Step-by-step explanation:

74 x 2 = 148

196 - 148 = 48

48/2 = 24 (number of horses)

74 heads - 24 horses = 50 humans

Maybe 11x? i dont really know, thats all the info we get

Answers:

============================================================

Explanation:

The perimeter p refers to the perimeter of the base polygon. We have five equal sides of 4 inches each, which therefore leads to a perimeter of p = 5s = 5*4 = 20

The perimeter is 20 inches.

This is the answer for blank 1.

This is the amount of fencing needed to enclose the pentagonal base.

-------------------------------

The l, aka lowercase L, is the slant height. It refers to the distance from the midpoint of any side of the base to the peak of the pyramid.

The diagram shows the slant height is 5.7 inches which is the answer for blank 2.

-------------------------------

LA = lateral surface area

The lateral area is the area of everything except for the base polygon.

Each triangle has a base of 4 inches and height 5.7 inches.

Each triangle has an area of base*height/2 = 4*5.7/2 = 11.4 square inches.

Five such identical copies yields a total LA of 5*11.4 = 57 square inches which is the answer for blank 3.

For each blank, you'll only enter the number itself of course.

The 2.8 in the diagram is never used. It's only useful if you needed to find the volume.

Answer:

you are right it is ^

Step-by-step explanation:

Answer:

It is your answer

Step-by-step explanation:

Your welcome.

Answer:

it is D. and A.

Step-by-step explanation:

um because

Answer:

20, 22 and 24

Step-by-step explanation:

18 / 3/4

18 x (4/3)

18 x 1.3333

23.9

≅ 24    

So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.

Answer:

Volume of cone = 1/3 Area of base × height

= 1/3× πr² × h

= 1/3×3.14×8²×9

= 602.88 m³

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a radius of 8 meters and a height of 9 meters and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(8)}^{2} \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 64 \times 9 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 576 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1808 .64 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1808 .64}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 602.88 }}}}}}} \\ \\[/tex]

Therefore,

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

Answer:

-13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Becuase 13's opposite is -13.

(If you still dont understand you can search up negative and positive number lines up to 20!)

Answer:

all the above.

your welcome

Answer:

87%

Step-by-step explanation:

435 students who voted for athlete               87

___________________________       =     ____         or 87%

          500 total students                                100

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

Answer:

200π cm³ (in term of π)

628 cm³ (when define π = 3.14)

Step-by-step explanation:

Given:

Volume of Cylinder:

[tex]\displaystyle \large{V=\pi r^2h}[/tex]

If you notice, the volume of cylinder is area of circular base * height.

Input given information in the formula:

[tex]\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}[/tex]

Evaluate:

[tex]\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}[/tex]

Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.

Fact

However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.

Therefore, the volume is:

Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Harley is 8 years younger than India, hence:

x = y - 8.

Jessica is three times older than Harley, hence:

z = 3x.

The sum of the three ages is 88, hence:

x + y + z = 88.

x + x + 8 + 3x = 88

5x = 80

x = 16.

Hence:

y = x + 8 = 24.

z = 3x = 48

The ratio of Jessica's age to India's age is given by:

z/y = 48/24 = 2.

More can be learned about a system of equations at https://brainly.com/question/24342899

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

b)

c)

d)

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

Answer:

688.1 cm

Step-by-step explanation:

Area of circle = (π)r^2

Area= π × 14.8^2

Area = 688.1 cm^2 (to the nearest tenth)