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Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.

Step-by-step explanation:

Answer:

8,167.14 m²

Step-by-step explanation:

Given:

Diameter = 102 m

Required:

Area of circle

Solution:

Area of a circle = πr²

Where,

π = 3.14

r = ½(102) = 51 m

Plug in the values

Area = 3.14*51²

Area = 8,167.14 m²

Answer:

(2,-2)

Step-by-step explanation:

The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.

hope this helps :)

Answer:

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

From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:

The first line is given y = 1/2x - 3, equate both to get:

Then the value of y:

The solution is (2, - 2).

Answer: i don't know

Step-by-step explanation:

i need points but good luck

Answer:

4/20

Step-by-step explanation:

Answer:

The answer is B and C

No explanation needed cuz I am sure for my answer

Answer:

x^2 - 2 /3 (x+3)

Step-by-step explanation:

Answer:3.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Minimum: 4

Lower Quartile (Q1): 7

Median: 9

Upper Quartile (Q2): 13

Maximum: 14

Step-by-step explanation:

B.

you can see by the box plots and notice that A doesn't have the same

Answer:

38 because the 5 tells the 7 to round up to 8

hope this helps

have a good day :)

Step-by-step explanation:

The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric functions are given in the question

Apply the sine ratio on the given right triangle

⇒ sin(θ) = Perpendicular/hypotenuse

sin A = BC/AB

sin A = 12/13

sin B = AC/AB

sin B = 5/13

Apply the cosine ratio on the given right triangle

⇒ cos(θ) = Base/hypotenuse

cos A = AC/AB

cos A = 5/13

cos B = BC/AB

cos B = 12/13

Apply the tangent ratio on the given right triangle

⇒ sin(θ) = Perpendicular/Base

tan A = BC/AC

tan A = 12/5

tan B = AC/BC

tan B = 5/12

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Answer:

A. Joint in knee

Step-by-step explanation:

There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.

The wheel is spinning at 23.80 miles per hour

The wheel speed in miles per hour can be calculated using the expression below:

Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),

where r is the radius of wheel , 60 converts minute to hour and 63360

converts inches to miles

Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)

Speed in miles per hour = 23.80 miles per hour

Thus, the wheel spins at  23.80 miles per hour

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Answer:

168

Step-by-step explanation:

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Answer:

area of a circle ⭕= πr²

radius = diameter ÷2;

radius = 38÷2

radius = 19

3.14 * 19²

= 1133.54 cm²

Answer:

[tex]5004 \approx5000[/tex]

Answer:

Step-by-step explanation:

You would have know to how much accuracy you want to know.   Estimates are about ball parking a number into some other idea about an easy way to understand what a number represents.   5,000 might be a good estimation for a distance that you're going to walk,   if the exact distance is 5,004.  You get a pretty good idea of how far , time wise, energy required ect ect.. when you say  5,000   So estimation is really about making the numbers easier to use and understand.   Numbers are "abstract"   they only represent ideas.

Answer:

exactly one pair of parallel sides =E

two pairs of sices of equal length = B,D

no right angle = A,C

Answer:

Yes

The inequality of the triangle:

[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]

Step-by-step explanation:

[tex]10<3+8[/tex]

[tex]3<10+8[/tex]

[tex]8<10+3[/tex]

The inequality works, therefore these sides can make a triangle

Answer:

R=17

Step-by-step explanation:

R=17

It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)

Thus R=17 Will Be correct

The length of the missing side is 54.

Triangle is a closed polygon consisting of three sides, three vertices and three angles.

Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.

Given that ΔABC and ΔPQR are similar.

Let x be the side length of PR.

Ratio of their side lengths are equal.

AB : PQ = BC : QR = AC : PR

5 : 45 = 8 : 72 = 6 : x

Take the ratios 8 : 72 = 6 : x

⇒ 8 / 72 = 6 / x

Cross multiplying,

⇒ 8x = 72 × 6

⇒ 8x = 432

⇒ x = 432 / 8 = 54

Hence the side length missing is 54 units.

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Answer:

Yes

Step-by-step explanation:

A $79 unit plus HST will be 89.27

Answer:

33 cm

Step-by-step explanation:

Perimeter formula = l + l + w + w, or l x w

Just add all the sides whch equals 33

Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm

Step-by-step explanation:

To find the perimeter of a shape, all you need to do is add up the measure of all the sides.

The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)

The general form of a linear equation is y - y₁ = m (x - x₁).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept)

The point slope formula is given by y - y₁ = m (x - x₁), where:

y = output value

y₁= the given y coordinate point

m = slope

x = input value

x₁ = the given x coordinate

substituting the point (-10,1) and slope 3/2

y - y₁ = m (x - x₁)

y - 1 = 3/2 (x + 10)

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The requried other factors of the given function are (x - 2) and (x - 3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

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Answer:

$26.19

Step-by-step explanation:

9% as a decimal is 0.09.

So, the fee is [tex](291)(0.09)=\$26.19[/tex].

Answer:

$26.19

Step-by-step explanation:

.09 x 291 = 26.19

Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87

A trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.

In the given problem, we have a compound angle problem and we can solve it as;

tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]

Substituting the values into the expression and solve;

tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]

Applying the rules of PEMDAS;

tan A + tan B = (13 / 6) / (29 / 64)

tan A + tan B = 416/87

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Answer:

4

Step-by-step explanation:

Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)

18720-13000=5720

5720÷13000=0.44

Therefore,option A is correct,i.e.,44%