65, 46, 78, 3, 87, 12, 99, 38, 71, 38

what is the median??

The length of RT from the figure is 8 units

In order to find the measure of RT, we will use the pythagoras theorem. According to the theorem;

hypotenuse² = adjacent² + opposite²

From the given figure;

ST = hyp = 10

RS = adj = 6

Find RT

RT = √10² - 6²

RT = √100 - 36

RT = √64

RT = 8 units

Hence the length of RT from the figure is 8 units

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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:

x=1 y=4
x=2 y=7
x=3 y=10

Step-by-step explanation:

To find the answer, you have to plug in the x-value for the equation to find y.

You will then find out that every time x increases by 1, y increases by 3.

Answer:

C

Step-by-step explanation:

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

Answer:

it is D. and A.

Step-by-step explanation:

um because

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 -

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

Answer:3p

Step-by-step explanation:

405 0p x 7

Answer:

10^3/10^-4

Step-by-step explanation:

FROM MATH MULLIGAN

What is Lens Focal Length

Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens. It is not a measurement of the actual length of a lens, but a calculation of an optical distance from the point where light rays converge to form a sharp image of an object to the digital sensor or 35mm film at the focal plane in the camera. The focal length of a lens is determined when the lens is focused at infinity.

Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be. The longer the focal length, the narrower the angle of view and the higher the magnification. The shorter the focal length, the wider the angle of view and the lower the magnification.

The magnified length of the object is 10⁻¹ m

An image is said to be magnified when its size is greater than that of the object, and it is said to be diminished when its size is smaller than that of the object.

Given that,

A microscope magnifies an object 10³ times. The length of an object is 10⁻⁴ meters. The magnified length is:

10³ × 10⁻⁴ m

We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

10³ × 10⁻⁴ m

= 10³⁺⁽⁻⁴⁾ m

= 10³⁻⁴ m

= 10⁻¹ m

Hence, the magnified length is 10⁻¹  m.

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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:

40,560

Step-by-step explanation:

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

62,400 * 65% = 40,560

Answer:

v = 3,463,118,874

Step-by-step explanation:

2214 * 225 = 498,510

diameter = 498,510

v = pi(d) * h

v = 3.14(498,510) * 2214

v = 1,564,191 * 2214

v = 3,463,118,874

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:

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

Answer:

all the above.

your welcome

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:

87%

Step-by-step explanation:

435 students who voted for athlete               87

___________________________       =     ____         or 87%

          500 total students                                100

(x+2)² + (y+6)² = 64

Given:

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

Formula's:

===========

equation:

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:

Answer:

4

Step-by-step explanation:

45.2 x 0.035=1.582

"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit."  -Khan Academy. org > significant figures

Answer: 1.6 is the answer

Step-by-step explanation:

45.2 x 0.035 = 1.582
After you do that step Then you'll need to round 1.582 up in the tenths, and it should be 1.6!

Hope this helps

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%.

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Answer:

18.1

Step-by-step explanation:

All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.

Now we can use sa very simple theorem.... the pythagorean therom!

[tex]7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x[/tex](rounded)

I hope this helps you.

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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