A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0\\ {x}^{2} - 3x - 2x + 6 = 0\\ x(x - 3) - 2(x - 3) = 0\\ (x - 3)(x - 2) = 0 \\ either \\ x - 3 = 0 \\ x = 3 \\ or \\ x - 2 = 0 \\ x = 2[/tex]

Answer:

d= 4[tex]\sqrt{2}[/tex] or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]

d = [tex]\sqrt{16 + 16}[/tex]

d= 4[tex]\sqrt{2}[/tex] or 5.66

Answer:

1200c^3

Step-by-step explanation:

cut the shape it to half with a square and a prism and calculate them separately then add the volume!

Hope this helps! ;-)

Answer:

28

Step-by-step explanation:

the formula for finding the area of a triangle is 1/2×base×height. the height is the spot where you can create a right angle with the base, which here is 14 meaning the equation is 1/2(4)(14)

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

        What is the number sentence for "1 less than n is the sum of z and 2?"

         [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     [tex]\Large\textit{n-1}[/tex]

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

     2:-

                                       [tex]\Large\textit{z+2}[/tex]

❖ Now, Combine these two little expressions into one equation:-

[tex]\implies\sf{n-1=z+2}[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer:

The answer is 28 in

Step-by-step explanation:

I divided 392/14=28

hopefully it helps.

please mark brainliest.

Answer:

it is 28

Step-by-step explanation:

i took the exam

Answer:

See below ~

Step-by-step explanation:

The tracking number for the package is : 693840002

The number you have typed in is : 698340002

The place values of 8 and 3 in the tracking number have been switched. Therefore, as it is not the same tracking number, you get tracking information of a different package which corresponds to the number.

Answer:

KL = 32

Step-by-step explanation:

The triangle is equilateral.

Finding KL :

Answer:

A square

Step-by-step explanation:

Its hard to mark the coordinates but its likely for it to be a square

Caroline, Colin & Sarah share some money.Caroline will get [tex]\dfrac{2}{3}[/tex]  when Caroline, Colin & Sarah share some money.

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets [tex]\dfrac{1}{9}[/tex] of the money."

If Caroline gets 1/9th, then remaining is:

[tex]1-\dfrac{1}{9}=\dfrac{8}{9}[/tex]

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

[tex]\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}[/tex]

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

[tex]3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}[/tex]

Colin gets  [tex]\dfrac{2}{3}[/tex] money when three of them share money.

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Answer:

180^3'

Step-by-step explanation:

6x6=36.

36x10=360.

360 divided by 2= 180.

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The statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

As we know, the difference between the greatest and lowest values, called the range.

According to this response, the range is 1 hour, which is the difference between the most and least amount of time spent surfing the Internet. This is based on the term “Range.”

Thus, the statement third “the difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour” is correct.

Learn more about the range here:

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Answer:

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 1 hour!

Step-by-step explanation:

Answer:

Leading term: 4x⁴y³

Leading coefficient: 4

Constant term: 7

Answer:

Leading terms : 4x⁴y³

Leading co-efficient: 4

Constant: 7

Step-by-step explanation:

Leading term: Leading term is the term that holds the highest degree of the  polynomial.

Leading co-efficient is the coefficient of the leading term.

Constant term is the term without any variable

Answer:

He walked 1/16 of an entire mile in 1 minute

Step-by-step explanation:

Answer:

The shape of an object looks the same when an object is rotated on it's own axis

the answer to that question is 1800

Step-by-step explanation:

the only thing that I can tell you about it

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

Then angle ∠EFC will be 90°.

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

  ∠FEC + ∠ECF + 90° = 180°

            ∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

More about the circle link is given below.

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The measure of the other angle is 60°.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

As given in the question

An angle that measures 125° is composed of three smaller angles.

Two of the smaller angles measure 25° and 40 degrees

Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s

Tom is incorrect because the sum of the smaller angles will be equal to the bigger angle and the equation he has written is wrong.

The right equation and method will be

25 +40+x = 125

x = 125-40-25

x = 60°

Therefore the measure of the other angle is 60°.

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The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]

Then the integration can be written as

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]

Then integrate

[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

More about the integration link is given below.

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Answer:

b x h

Step-by-step explanation:

product of the base (b) and the height (h) just means b x h.

Answer:

2π - 4√5

(= -2.66 to nearest hundredth).

Step-by-step explanation:

√(2π - 4√5)^2

= 2π - 4√5             (by the definition of a square root)

If you want an approximate value it is

-2.66 to the nearest hundredth

Answer:

√60

Step-by-step explanation:

6² = 36  ⇒  √36 = 6

8² = 64  ⇒  √64 = 8

⇒ 6 < x < 8

⇒ √36 < x < √64

Therefore, we need the square root of a number between 36 and 64.

From the given options, √60 is the only available option as:

√36 < √60 < √64

⇒ 6 < √60 < 8

Therefore, √60 is greater than 6 and less than 8.

√60

Because

Square of rest two numbers

As

60 lies in between 36 and 64

So

√60 lies in between 6 and 8.

Answer:

1. False —> that’s how you find the perimeter.

2. False —> area is measured in square units.

3. False —> you can only use a multiplication.

4. True —> (2x6) + (2x8) = 28 inches.

5. False —> 5x5 = 25 square meters.

—-

Have a nice day!!

Answer:

Step-by-step explanation:

1 False. The suggestion given is for Perimeter, not area.

2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches

3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.

4.True

5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20