27/22 as a decimal rounded to the nearest hundreth

Answer:

Step-by-step explanation:

To estimate the original volume of the pyramid in Figure 15.28, we can use the formula for the volume of a frustum of a pyramid. The frustum is the portion of the pyramid between the top and bottom, created by removing the top section.

The formula for the volume of a frustum of a pyramid is:

V = (1/3) * h * (A + sqrt(A * B) + B)

Where:

V = Volume of the frustum

h = Height of the frustum (vertical distance between the top and bottom)

A = Area of the top base

B = Area of the bottom base

Given the dimensions provided, we can calculate the areas of the bases:

Area of the top base (A) = 4 m * 4 m = 16 m²

Area of the bottom base (B) = 20 m * 20 m = 400 m²

The height of the frustum (h) is given as 12 m.

Now we can plug these values into the formula:

V = (1/3) * 12 m * (16 m² + sqrt(16 m² * 400 m²) + 400 m²)

Calculating the square root and simplifying:

V = (1/3) * 12 m * (16 m² + 20 m² + 400 m²)

V = (1/3) * 12 m * (436 m²)

V = 1744 m³

Therefore, the estimated original volume of the pyramid in Figure 15.28 is approximately 1744 cubic meters.

The net monthly income from the building is

Rs 346.33

Percent simply means "per hundred" and the symbol used to express percentage is %. One percent (or 1%) is one hundredth of the total or whole and is therefore calculated by dividing the total or whole number by 100. Example: 1% of 250 = (1 ÷ 100) x 250 = 2.5.

Therefore The yearly income = Rs 5800

10% = 5800 × 10/100 = Rs 580

The remaining rent = 5800-580 = Rs 5320

10½% = 21/200 × 5320

= 558.6

7¼ % = 29/400 × 5320

= 385.7

2¼ = 9/400 × 5320

= 119.7

total tax = 119.7 + 385.7 + 558.6 +580

= Rs 1644

Income left = 5800-1644

= 4156

therefore monthly net income = 4156/12

= Rs 346.33

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Answer:

slope is m=1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: use the slope formula to find the slope m

Answer:

x^2=5x

Step-by-step explanation:

x is the number

x^2=5x

x^2-5x=0

x(x-5)=0

x=0 ; x=5

Answer:

angle = 50.8° (to the nearest tenth of a degree)

Step-by-step explanation:

In a right triangle:

We have been given the measures of the shorter leg and the hypotenuse, so the angle between them is the larger acute angle (which we need to find).

shorter leg = 3√6 cm

hypotenuse = 3√15 cm

So to find the angle, we need to use the trig ratio: \(cos(\theta)=\frac{adjacent}{hypotenuse}\)

If \(\theta\) is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.

Substituting the given values:

\(cos(\theta)=\frac{3\sqrt{6} }{3\sqrt{15} }\)

⇒ \(\theta=arccos(\frac{3\sqrt{6} }{3\sqrt{15} })=50.76847952..\)

Therefore, the angle = 50.8° (to the nearest tenth of a degree)

Answer:

Reflective property

Step-by-step explanation:

it maps onto itself

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer: Hewo, there! your answer is Below

There are 60 mins In 11 a.m And every hour

Step-by-step explanation:

You can easily convert 1 hour into minutes using each unit definition:

Hour

hour = 60 min = 3600 s

Minutes

minute = 60 s = 60 s

Hope this helps you!!

Have a great day!!

Answer:

their are 60 minutes in 11 am

Answer:

The rule would be 3 units right and 4 units down.

This is based off an assumption that the missing information is a triangle on the plane of coordinates 2 through 6.

Step-by-step explanation:

Below I provided the graph that I assume you have. Each blue strike represents 1 unit.

Answer:

x= -4

Step-by-step explanation:

3 + 2x + 5 = 0

8 + 2x = 0

2x = -8

2x/2 = -8/2

x= -4

If 1/a, 1/b, and 1/c are in arithmetic progression, then \(b^2 = ac.\)

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

\(T_n = a + (n-1)d\)

(for all positive integer values of n)

We are given that;

AP= 1/a,b,1/c

Now,

If 1/a, 1/b, and 1/c are in arithmetic progression (AP), then we can use the definition of an arithmetic progression to set up an equation and solve for the unknown variable.

Recall that in an arithmetic progression, each term is equal to the previous term plus a common difference (d). That is:

second term = first term + common difference

third term = second term + common difference

and so on...

In this case, we can apply the above definition to the reciprocals of a, b, and c:

1/b = 1/a + d

1/c = 1/b + d

We can simplify these equations by cross-multiplying and combining like terms:

b - a = ad

c - b = bd

Next, we can use algebraic manipulation to isolate d, the common difference:

d = (b - a)/a = (c - b)/b

b(b - a) = a(c - b)

\(b^2 - ab = ac - abb^2 = ac\)

Therefore, by the given arithmetic sequence answer will be \(b^2 = ac.\)

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The solution set of the system of equations graphed on the grid is

{(1, -4), (4, -1)}. Hence, option B is the right choice.

The solution set to a system of equations is the set of all points that satisfies every equation in the given system.

We are asked to find the apparent solution set of the system of equations graphed on the grid.

The solution set will be the set of common points on the graph as they satisfy both the equations in the given system.

The common points are (1, -4) and (4, -1), as the equations pass through these points simultaneously.

∴ The solution set of the system of equations graphed on the grid is

{(1, -4), (4, -1)}. Hence, option B is the right choice.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer: C=-3t+30

Step-by-step explanation:

The equation of remaining chocolate C  in terms of t could be C =30 - 3t.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that the Initial number of chocolates in box = 30

Also after 8 nights, number of remaining chocolates = 6

Then we have

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written by;

C =30 - 3t.

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Given:

The measure of an angle is 50 degrees.

To find:

The complement of the given angle.

Solution:

We know that the sum of an angle and its complement is 90 degrees.

Let x be the complement angle of 50 degrees.

\(x+50^\circ=90^\circ\)

\(x=90^\circ-50^\circ\)

\(x=40^\circ\)

Therefore, the measure of complement of the given angle is 40 degrees.

Answer:

the 4th statement

Step-by-step explanation:

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

Answer: 0.55w+2.8

Step-by-step explanation:

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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Answer:

when you multiply a number by itself

Step-by-step explanation:

¿*=£×**€×¿¿==£÷€=4÷54

Answer:

120 degrees

Step-by-step explanation:

sum of all three angles of any triangle is 180

X+30+30=180

x+60=180

 -60. -60

x=120

Hopes this helps

Step-by-step explanation:

only the circle

as cylinder is neither oval nor triangle not a rectangle..

so cylinder has circle as the cross section

Answer:

This is for a different question but hope this helps too!

Step-by-step explanation:

Answer:

Step-by-step explanation:

C isnt an interval and the function is always decreasing

Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

y = 7

Step-by-step explanation:

since the 2 triangles are congruent then corresponding angles are congruent , so

∠ R = ∠ F , that is

13y - 1 = 90 ( add 1 to both sides )

13y = 91 ( divide both sides by 13 )

y = 7