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bogdanovich [222]
3 years ago
13

The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

15 yards

Step-by-step explanation:

proportion:

2/5:6/X

2x=30

x=15

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In geometry, how do defined terms and undefined terms relate to each other?
mart [117]
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

<span>POINT (an undefined term) </span>
<span>In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). </span>

<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>

<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>

<span>Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. </span>

<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
8 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
2 years ago
What is 6/8 * 4/6?<br> Please answer this!!!
irina1246 [14]
6*4=24
8*6=48
24/48=4/8=1/2
I hope this helps;)
3 0
3 years ago
Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C
Musya8 [376]

Answer:

Step-by-step explanation:

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars.

R(x) = -x^2 + 6x,\\ C(x) = x + 4.

Profit function = Revenue  - cost

So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

Profit function of x

= Pr(x) = R(x) -C(x)\\= -x^2+6x-x-4\\=-x^2+5x-4

7 0
3 years ago
Tyina is buying 12 shirts for the drama club. She will
Stolb23 [73]
Answer: if you times 12x2.75 I got 33 some she can spend $33.00 and not go over.

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3 years ago
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