Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?

Answers

Answer 1

Answer:

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

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Answer 2

Answer:

Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

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Formulate the quadratic function that contains the points (-1,2), (0,-1) and (2,5). F(x) = 2x2 - x - 1 f(x) = 2x2 x 1 f(x) = 2x2 - x 2 f(x) = 2x2 - x - 2.

Answers

Answer:

(a) F(x) = 2x^2 - x - 1

Step-by-step explanation:

The quadratic regression function of a graphing calculator does this nicely.

The one attached shows the function to be ...

F(x) = 2x^2 -x -1

Additional comments

The supplied point (0, -1) tells you the y-intercept is -1. That means the constant in the function's equation will be -1. Only one answer choice has that.

F(x) = 2x^2 -x -1

As always, the first step in problem solving should be to look at the problem, and look at the available solution choices. Understanding these things will generally allow you to throw out answer choices that don't provide a sensible answer to the question. Here, that leaves you with only one answer choice, which is all you need.

What is the exact volume of the cone 4 in and 7 in

Answers

Answer: V=205.25 cubic inches.

Step-by-step explanation:

For the given cone height = 4 in and radius= 7 in .Volume of any cone can be calculated by the formula :

V= $(1)/(3) \pi r^(2) h$

Substituting the values of r and h we have:

V= $(1)/(3) \pi 7^(2) .4$

Solving for V we have:

V=205.25 cubic inches.

V = (1/3) *pi* (7)^2 * 4

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(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to?
Can you please explain with some details?

Answers

The solution of the given expression will be -3a - 4b + 8c.'

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,

E = (a + 2b + 3 c) - (4a + 6b - 5c)

E = a + 2b + 3c - 4a - 6b + 5c =

E = -3a - 4b + 8c

Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).

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(a + 2b + 3 c) - (4a + 6b - 5c) =

= a + 2b + 3c - 4a - 6b + 5c =

= -3a - 4b + 8c

Given matrix D below, which matrix represents -5D?

Answers

Answer: option D

-5D means multiply all the elements of D by -5
i.e. -5 * -10 = 50
-5 * 10 = -50
-5 * -5 = 25
-5 * 15 = -75

What is the name of the relationship between ∠1 and ∠8 ?A. adjacent angles

B. alternate interior angles

C. alternate exterior angles

D. corresponding angles

Answers

Answer:

∠1 and ∠8 are alternate exterior angles.

Step-by-step explanation:

We are given two parallel lines and one transversal line which cuts both parallel line and makes two 8 angles.

We need to find the relation between them

As we know total 8 angles form when two parallel line cut by one line.

Name of angles (relation of angles)

Alternate interior angles
Adjacent angles
Corresponding angles
Alternate exterior angles

Alternate Exterior Angles are a pair of angles on the inside of each of those two parallel lines but on opposite sides of the transversal.

Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Adjacent angles are a pair of angles whose a common side and a common vertex.

Corresponding angles are a pair of angles whose one out side and one inside of those parallel lines but on same side of the transversal.

Here, ∠1=∠8 because ∠1 and ∠8 are alternate exterior angles.

Thus, ∠1 and ∠8 are alternate exterior angles.

Answer:

Alternate exterior angles

What is the least common multiple (LCM) of 4 and 10?

Answers

Well, 4•1=4 4•2=8 and so on so 4•5=20. 20 is divisible by 10 (10•2=20) therefore 20 is the least common mutiple

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