Answer:
Step-by-step explanation:
<u>The billiard cue is 15 cm away from the table</u>
- This refers to coordinates of (15, 0)
<u>The billiard cue touches the table at a point 60 cm off the ground</u>
- This refers to coordinates of (0, 60)
<u>The slope is as per slope formula;</u>
- m = (60 - 0)/(0-15) = 60/ -15 = -4
Thea answer is -4
The value of the sum of twice a number and 7 is 17.
<h3>What is an expression?</h3>
An expression is used to show the relationship between the variables that are given.
Let the number in this situation be 5. This will be illustrated as:
2n + 7
where n = number = 5
= 2n + 7
= 2(5) + 7
= 10 + 7
= 17
Therefore, the number is 17.
Learn more about numbers on:
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Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth 
and
Number of pieces for white cloth 
Step-by-step answer:
The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.
Here, we have (horizontal) distance of building to the tower is 400'.
We see two right triangles, each with a leg of 400' (horizontal).
The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.
Using the definition of tangent, we have
h1= 400tan24=178.1
h2=400tan20=145.6
The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet
