What can multiply to 1500 and add up to 20

Answer:

(5,5)

Step-by-step explanation:

Given that B has coordinates as (3,7) When reflected about a line the new coordinates are (3,5)

This implies that by reflection x coordinate remains the same but y reduced by 2 units.

Apply the same logic for unknown O.

C is reflected to O.

Original coordinates of C are (5,7)

Hence new coordinates i.e. that of O would be

x coordinate same as 5

y coordinate 2 less = 7-2 = 5

COordinates of O are (5,5)

The volume of the cone to the nearest whole number is 1283 m³

How to determine the volume

Formula for volume of a cone =

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume =

Volume =

Volume = in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

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Final answer:

The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.

Explanation:

To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.

V = 1/3 * π * (7)² * 24 = 1232 m³

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Answer:

=439.04 ft^2

Step-by-step explanation:

First find the area of the total rectangle

A = l*w

40*16 =640 ft^2

We have 2 semi circles with diameter 16

That equals 1 circle with diameter 16

The radius is d/2 = 16/2 =8

The area of a circle is

A = pi r^2

A = (3.14) (8)^2

  =200.96

Subtract the unshaded area from the total area

640-200.96=439.04

The two numbers multiply to 64 and add up to negative 16 are -8, -8.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Let us assume first number be = x

and, let the second number be = y

then,

multiplication of two number will be :

xy = 64...(1)

addition of two numbers will be -16 that is :

x + y = -16..(2)

we have :

(x+y)² - (x-y)² = 4xy

(x-y)² = (x+y)² - 4xy

(x-y)² = (-16)² - 4 x 64

(x-y)² = 256 - 256

(x-y)² = 0

(x-y)  = 0

x = y

Now, from equation (2) we have ":

x + y = -16

x + x = -16

2x = -16

x = y= -8

Therefore, the two numbers multiply to 64 and add up to negative 16 are -8, -8.

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Answer:

The range of the function is {-9, -3, 0, 5, 7}

Step-by-step explanation:

The range of a function is the set of all possible values of outputs of a function,

Here, the given function is,

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)},

Where, output values are 0, -3, -9, 5, 7,

Since, the set of the output values {-9, -3, 0, 5, 7 },

Which is the required range of the given function.

The range of given function is {-9, -3, 0, 5, 7}.

Further explanation

Given that {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)} is a relation since it is a set of ordered pairs.

Note that a and b are any two any elements, (a, b) is called an ordered pair where a is the first component and b is the second component.

• The relation is a set of ordered pairs.
• The domain is the set of all the first components of the ordered pairs.
• The range is the set of all the second components of the ordered pairs.

We can conclude that:

• its domain is {-5, -4, -2, 0, 2}
• its range is {-9, -3, 0, 5, 7}

See the attachment for details.

Notes:

A function f is a rule that assigns to each element x in set A exactly one element y or f(x) in set B. Set A is called the domain and set B is called the range of the function f.

The relation above is represented by a list. This relationship can also be represented by the following:

• a table
• a map
• a graph

Learn more

1. What are the domain and range of the function f(x) = 3x + 5? brainly.com/question/3412497
2. Determine the following pairs of functions that inverse of each other. brainly.com/question/4620451
3. Determine the domain of the composite function brainly.com/question/3852778

Keywords: what is the range of the given function, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}, domain, set, elements, ordered pairs, first components, second, represented by a list, a table, a map, a graph