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Vilka [71]
2 years ago
8

10 POINTS! PLEASE HELP!! The illustration shows a compact disc tray that holds five CDs. The radius of each compact disc is 9 cm

.
What is the total area occupied by all five discs?

Mathematics
1 answer:
MariettaO [177]2 years ago
3 0

We can see that there are 5 CDs, each of radius 9 cm

<u>Area occupied by 1 disc:</u>

Area of a circle = πr²

Area of disc = π(9)²

Area of disc = 3.14 * 81 = 254 cm²

<u>Area occupied by 5 discs:</u>

Area occupied by 5 discs = Area occupied by 1 disc * 5

Area occupied by 5 discs = 254 * 5

Area occupied by 5 discs = 1270 cm²

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The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
vampirchik [111]

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

P(0, 3), Q(2, 0), R(4, -3)

This implies that P, Q, and R lie on the same line.

The slope of a line is defined as; (change in y)/(change in x)

Using the points P and Q, the slope of the line is calculated as;

(0-3)/(2-0) = -3/2 = -1.5

7 0
3 years ago
Read 2 more answers
Will give brainliest.
In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

6 0
3 years ago
What are both of the blanks?? Y= [ ]x+ [ ]
vitfil [10]
Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
7 0
3 years ago
9(u-2) + 1.5u=8.25
Colt1911 [192]

Answer:

u= 2.5

Step-by-step explanation:

Using BIDMAS

Step 1: Expand the bracket

9(u-2) + 1.5u=8.25

9u-18+1.5u=8.25

Step 2: collect like terms

9u+1.5u=8.25+18

10.5u=26.25

Step 3: Divide both sides by 10.5 to get u

u= \frac{26.25}{10.5}= 2.5

6 0
3 years ago
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What are proofs statements
mina [271]

Geometric proofs can be written in one of two ways: two columns, or a paragraph. A paragraph proof is only a two-column proof written in sentences. However, since it is easier to leave steps out when writing a paragraph proof, we'll learn the two-column method.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column. Every step of the proof (that is, every conclusion that is made) is a row in the two-column proof.


5 0
3 years ago
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