Find the two geometric means between 20 and 2500

The surface area of the decoration is 126 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

We have that, the holiday decoration is a construction from two square pyramids that are joined together at their bases.

Total surface area of a square pyramid = Area of the square + Area of 4 triangular faces

But total surface area of the decoration does not contain the area of the square base as it is joined together.

So surface area of the decoration = Area of 8 triangular faces

                                                        = 8 × ([tex]\frac{1}{2}[/tex] a l)

Here a is the length of the edge of the square and l is the slant height of the triangle.

Surface area = 4 a l

                     = 4 × 4.5 × 7

                     = 126 inches²

Hence the surface area of the decoration is 126 inches².

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To find the surface area of the holiday decoration, calculate the sum of the areas of the two square pyramids. Use the formula Surface Area = Base Area + 2 * (0.5 * Base Perimeter * Slant Height) and substitute the given values to find the surface area. The surface area of the decoration is 146.25 square inches.

To find the surface area of the holiday decoration, you need to find the sum of the areas of the two square pyramids. The formula for the surface area of a square pyramid is given by:

Surface Area = Base Area + 2 * (0.5 * Base Perimeter * Slant Height)

Since the base is a square, the base area is equal to the side length squared. Therefore, the base area is 4.5 inches * 4.5 inches = 20.25 square inches.

The base perimeter is equal to 4 times the length of one side. Therefore, the base perimeter is 4 * 4.5 inches = 18 inches.

Plugging these values into the formula, we have Surface Area = 20.25 square inches + 2 * (0.5 * 18 inches * 7 inches).

Simplifying the expression, we get Surface Area = 20.25 square inches + 2 * 63 square inches = 146.25 square inches.

Answer:

2 • (2x - 3) • (3x - 2)

Step-by-step explanation:

Answer:

4x + 6(3x -2)

First distribute

4x + 18x - 12

Combine like terms

22x - 12

Step-by-step explanation:

Answer:

Im not sure but I thinks its the first one

f(x)=8(4)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

answers A jus did itt

Answer:  A. yo is welcome bro

Step-by-step explanation:

Answer:

cos2θ = -0.7041

Cos θ = -0.3847

Step-by-step explanation:

Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.

Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.

What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.

Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13

Thus the adjacent let’s say d can be calculated as follows

13^2 = 12^2 + d^2

169 = 144 + d^2

d^2 = 169-144

d^2 = 25

d = √25 = ±5

Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)

The value of cos θ = Adjacent/hypotenuse = -5/13

Cos θ = -5/13

Cos θ = -0.3846

Using trigonometric formulas;

Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin

θ = cos^2 θ - sin^2 θ

Cos 2θ = (-5/13)^2 - (12/13)^2

Cos 2θ = 25/169 - 144/169

Cos 2θ = (25-144)/169 = -119/169

Cos 2θ = -0.7041

There are four quadrants in a coordinate geometry.

The cosine values are [tex]\mathbf{ cos(\theta)=- \frac{5}{13}}[/tex] and [tex]\mathbf{ cos(2\theta) = -\frac{119}{169}}[/tex]

The given parameter is:

[tex]\mathbf{sin(\theta) = \frac{12}{13}}[/tex]

Using trigonometry ratio, we have:

[tex]\mathbf{sin^2(\theta) + cos^2(\theta)= 1}[/tex]

Substitute [tex]\mathbf{sin(\theta) = \frac{12}{13}}[/tex]

[tex]\mathbf{(\frac{12}{13})^2 + cos^2(\theta)= 1}[/tex]

Expand

[tex]\mathbf{\frac{144}{169} + cos^2(\theta)= 1}[/tex]

Collect like terms

[tex]\mathbf{ cos^2(\theta)= 1-\frac{144}{169}}[/tex]

Evaluate fraction

[tex]\mathbf{ cos^2(\theta)= \frac{25}{169}}[/tex]

Take square roots of both sides

[tex]\mathbf{ cos(\theta)= \pm \frac{5}{13}}[/tex]

The angle is in the second quadrant.

So, we have:

[tex]\mathbf{ cos(\theta)=- \frac{5}{13}}[/tex]

Also, we have:

[tex]\mathbf{ cos(2\theta) = cos^2(\theta) - sin^2(\theta)}[/tex]

So, the equation becomes

[tex]\mathbf{ cos(2\theta) = \frac{25}{169} - \frac{144}{169}}[/tex]

Take LCM

[tex]\mathbf{ cos(2\theta) = \frac{25-144}{169}}[/tex]

[tex]\mathbf{ cos(2\theta) = -\frac{119}{169}}[/tex]

Hence, the values are:

[tex]\mathbf{ cos(\theta)=- \frac{5}{13}}[/tex] and [tex]\mathbf{ cos(2\theta) = -\frac{119}{169}}[/tex]

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Answer:

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal (also two equal base angles).

Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:

x + x + y = 90

2x + y = 90

But the length of the equal side is  three fourth of the unequal side, i.e x = 3/4y

Therefore:

2(3/4y) + y = 90

3/2y + y = 90

2.5y = 90

y = 90/2.5

y = 36 meters

Also x = 3/4 * 36 = 27 meters

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Answer:

I think it's D, sorry if i'm wrong but let me know if I'm right!

Step-by-step explanation:

Answer:

120 Ways

Step-by-step explanation:

The permutation of the word 'cheese' considers the unique arrangements of its letters. Since 'e' repeats thrice, the permutations are calculated using the formula for a multiset, resulting in 120 unique permutations.

The term 'permutation' typically refers to the possible arrangements of a set of items when the order of these items is important. In the context of English and the word 'cheese,' permutation would normally mean all the distinct arrangements of the letters in the word. However, since the letters 'e' and 'c' repeat in the word 'cheese,' the number of unique permutations is less than it would be if all the letters were different.

To calculate the permutations of 'cheese' specifically, we would have to account for these repeated letters. With six letters total and the letter 'e' appearing three times, we would use the formula for permutations of a multiset: 6! / (3! 1! 1! 1!), where the factorials represent the number of times each distinct letter occurs.

Answer:

612

Step-by-step explanation:

The lateral surface area does not include the bases.

The bases are the triangles

We will add up the areas of the three rectangles

We have the two rectangles on the sides which are 17 by 13 and the rectangle on the bottom which is 17 by 10

17* 13 + 17*13 + 17*10 =612

Answer:

50 cents each

Step-by-step explanation:

3.50/7 = .50

Answer:

Each cup costs $0.50

Step-by-step explanation:

Take the total cost and divide by the number of cups

3.50/7 = .50

Each cup costs $0.50

Only Set 3 forms a right triangle as it satisfies the Pythagorean theorem, with side lengths matching the equation (√3)^2 + 4^2 = (√5)^2.

The question is about determining which set of side lengths will form a right triangle. To form a right triangle, the side lengths must satisfy the Pythagorean theorem, where the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).

Let's check each set of side lengths:

Set 1: 62 + 72
eq (√12)2 (Not a right triangle)

Set 2: 82 + (√29)2
eq (√35)2 (Not a right triangle)

Set 3: (√3)2 + 42 = (√5)2 (Right triangle)

Set 4: 92 + (√26)2
eq 62 (Not a right triangle)

Therefore, only Set 3 forms a right triangle because it is the only set that satisfies the Pythagorean theorem.

Answer:

Step-by-step explanation:

[tex]A=\pi r^2=\pi *55^2[/tex] ≈ [tex]9503.31778mm^2[/tex]

Answer:

3025π

Step-by-step explanation:

A skateboard’s wheel is a circle and we need to work out the area of the skateboard’s wheel so we have utilise the formula π × r² where 'r' is the radius. So lets substitute in the values into the formula of finding out the area of the skateboard's wheel.

Area of skateboard's wheel = π × r²

→ Substitute in the values

Area of skateboard's wheel = π × 55²

→ Simplify

Area of skateboard's wheel = 3025π

The arc length is a quarter of the circumference of the full circle, so 2πr/4.

The straight sides are both radii, so each length r.

Total perimeter

p = 2πr/4 + r + r = r(π/2 + 2)

We put in r=2, π=3.14 and get

p = (2(3.14/2 + 2)) = 3.14 + 4 = 7.14

Answer: 7.14 km

The perimeter is also known as the circumference. The formula for the circumference is C = pi x diameter.

Step 1) Find the diameter

d = r x 2

d = 2 x 2 = 4 km

Step 2) Find the whole circumference

C = pi x 4

C = 4pi km

Step 3) Find 1/4 of the circumference

4pi x 1/4 = 1pi

1pi = 3.14

Step 4) Add the sides not part of the arc

3.14 + 2 + 2 = 7.14

C = 7.14 km

Hope this helps! :)

Answer:

Convex or trapezium quadrilateral?

Step-by-step explanation:

All the angles are,

⇒ x = 30

⇒ 5x = 150

⇒ 4x = 120

⇒ 2x  = 60

Therefore, The quadrilateral is a Trapezoid.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The angles of a quadrilateral, taken in order, are x, 5x, 4x and 2x.

Since, We know that;

Sum of all angles of the quadrilateral are 360 degree.

Hence, We get;

⇒ x + 5x + 4x + 2x = 360

⇒ 12x = 360

⇒ x = 30

Thus, All the angles are,

⇒ x = 30

⇒ 5x = 5 × 30 = 150

⇒ 4x = 4 × 30 = 120

⇒ 2x = 2 × 30 = 60

Therefore, The quadrilateral is a Trapezoid.

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Step-by-step explanation:

¡Hola a todos!

Usa la fórmula para una esfera:

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]V=\frac{4}{3} \pi (125)\\V=523.59877 mm^3[/tex]

No soy un hablante nativo de español, así que esto puede ser un poco confuso, ¡pero espero que ayude!

:)

Answer:

[tex]5400cm^{3}[/tex] more water could be added to the container before the container overflows

Step-by-step explanation:

The volume of the rectangular container is got by multiplying its given dimensions: Length X breadth X height

This will be  30 X 20 X 24 = [tex]14400 cm^{3}[/tex]

To find the volume of water inside the rectangular container, we will use the new height for our computation of volumes, keeping the length and breadth of the cylinder the same.

This will be [tex]30 \times 20 \times 15 =9000 cm^{3}[/tex]

The volume of water needed to be added until the container overflows will be got by subtracting the volume of water present in the container from the total volume of the container

[tex]14400 - 9000 =5400cm^{3}[/tex]

Note 1 [tex]cm^{3}= 1 ml[/tex]

Answer:

16 tickets

Step-by-step explanation:

15.50-3.50=12

12/0.75=16

Answer:

  (x +4)^2 = 14

Step-by-step explanation:

The constant on the left wants to be the square of half the coefficient of the linear term:

  (8/2)^2 = 16

In order for it to be that value, we need to add 4 to the equation.

  x^2 +8x +12 +4 = 10 +4

  x^2 +8x +16 = 14 . . . . collect terms

  (x +4)^2 = 14 . . . . . . . write as a square

Answer:

(x+4)² - 14 =0

Step-by-step explanation:

x² + 8x + 12 =10

(x²+4²) - 4²+12 = 10

(x+4)² -4-10 = 0

(x+4)² - 14 =0

Note: When completing squares, in the equation above.

Answer:

The reason why both have the same value is because you are only moving the decimal place. The difference between 51.2 and 5.12 is that you divided 10 from 51.2 to get 5.12. Same goes for 6.4 and 0.64.

51.2 / 6.4 = 8

5.12 / 0.64 = 8

Final answer:

The quotient of 51.2 divided by 6.4 is the same as 5.12 divided by 0.64 because both numerators and denominators are related by a factor of 10. This maintains the value of the quotient unchanged when both are multiplied or divided by the same power of 10.

Explanation:

When dividing two numbers, you can often simplify the expression by dividing both numbers by a common factor. In this case, both 51.2 and 6.4 have a common factor of 0.64. Dividing both numbers by 0.64, we get:

51.2 ÷ 0.64 = 80

6.4 ÷ 0.64 = 10

So, as you can see, the result is the same: 80 divided by 10 is equal to 8. This is why dividing 51.2 by 6.4 has the same value as dividing 5.12 by 0.64.

Answer: y= 5x+9

Step-by-step explanation: you subtract the 5x from both sides where it becomes a negative. then you divide everything by -1 and you come out with y=5x+9

The slope is:

Work/explanation:

This equation is almost in perfect slope intercept. Let's rearrange it just a little.

[tex]\sf{5x+y=-9}[/tex]

[tex]\sf{-y=-5x-9}[/tex]

[tex]\sf{y=5x+9}[/tex]

Now, parallel lines have equal slopes. This means that whatever the slope of line A is, the slope of line B will be the same, if lines A and B are parallel.

The slope of [tex]\sf{y=5x+9}[/tex] is 5.

Extra info

Slope intercept is y = mx + b where the slope is m and the y-intercept is b.

Answer:

6 in^2

12 in^2

96 in^2

AT = 108 in^2

Step-by-step explanation:

The area of one triangular face is

A1 = 1/2(4)(3) = 6 in^2

The area of the two triangular faces is:

A = 2A1 = 12 in^2

the area of the lateral faces is:

Al = 8(4) + 8(3) + 8(5) = 96 in^2

Hence, the total surface area is

AT = At + Al = 12 in^2 + 96 in^2 = 108 in^2

6

12  

96  

108

hope this helped <3

Final answer:

To rewrite expressions as a power of 2, one needs to understand exponent rules and binary representation. Squaring exponentials involves squaring the base and multiplying the exponent by 2. Simplification often involves adjusting prefactors and exponents while keeping the expression equivalent.

Explanation:

To rewrite expressions as a power of 2, it's important to understand how to manipulate exponents and to be familiar with the binary representation of numbers. For instance, squaring exponentials involves squaring the base number and multiplying the exponent by 2. As an example, if you have (23)4, it is the same as 23×4 or 212.

When dealing with decimal equivalents of powers of two, such as 1837, which can be written as (1 × 1024) + (1 × 512) + (1 × 256) + (0 × 128) + (0 × 64) + (1 × 32) + (0 × 16) + (1 × 8) + (1 × 4) + (0 × 2) + (1×1), the expression is already in powers of two. Similarly, recognizing patterns can help simplify expressions, for example, 24 × 1012 can be simplified by adjusting the prefactor and exponent to maintain equivalence.

Finally, powers are applied to everything inside parentheses. For instance, (27×3) and (4×22) becomes 2.1 × 10-33 when raised to the proper power.

Answer:

I think its 46...

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

15+8+17=40

Answer:

Step-by-step explanation:

It’s daddy

Answer:

The value of x is 42°.

Step-by-step explanation:

Given AB and BC are perpendicular lines which means that AB is 90° to BC. So in order to find the value of x, you have to substract 24° and 24° from 90° :

[tex]24° + x + 24° = 90°[/tex]

[tex]x = 90° - 24° - 24°[/tex]

[tex]x = 42°[/tex]

Answer:

25 cubic feet of concrete

Step-by-step explanation:

Given the information:

=>The volume of concrete darryl need for the highest stair is:

The volume of the staircase - the volume of the lowest stair -  the volume of middle stair

= 34 -  3 - 6

= 25 cubic feet of concrete

Hope it will find you well.

Answer:

Step-by-step explanation:

The amplitude of the cosine function "y = cos(x)" is 1. Therefore, the correct answer is "d. 1", as it represents the maximum absolute value of the function.

The function "y = cos(x)" represents a cosine function, and its amplitude is the maximum absolute value of the function. The amplitude of the cosine function "cos(x)" is 1. This is because the cosine function oscillates between -1 and 1, and the amplitude is the absolute value of this maximum value.

In mathematical terms, the amplitude (A) of a cosine function "A cos(x)" is equal to the absolute value of the coefficient of the cosine term. In this case, "A = |1| = 1".

Therefore, among the given options:

a. 2

b. π

c. 2π

d. 1

The correct answer is "d. 1" as it accurately reflects the amplitude of the cosine function "y = cos(x)".

The question probable may be:

The graph given above shows the following function y= cos(x)

What is the amplitude of the function?

a. 2

b. pi

c. 2pi

d. 1

Answer:

6    

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Put the numbers in order from smallest to largest

10, 12,13, 15, 17, 18,  21,

The range is the largest number minus the smallest number

21-10

11

Answer:

3. Look at the least amount of time practicing. That is 1/4 hours. Then look at the most time practicing, an hour and a half. Subtract 1  1/2 by 1/4.

4. Look at the dots in the plot. The one in the middle is the highest because it appears the most. The most common time is 3/4 of an hour.

5. To see the total time, add all of the numbers up, including the repeated ones.

Answer:

x = - 1/6 + √-119/6, and, - 1/6 - √-119/6

Step-by-step explanation:

Using the quadratic formula which is: - b ± √b² - 4ac / 2a

a = 3, b = 1, c = 10

- 1 ± √1² -4 * 3 * 10 / 2 * 3

- 1 ± √1 - 120 / 6

-1 ± √-119 / 6

= -1/6 + √119/6,               or                  - 1/6 - √-119/6