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4 years ago

10

When constructing inscribed polygons and parallel lines, how are the steps similar?

2 answers:

monitta4 years ago

8 0

The intersecting arcs are created and connected.

PilotLPTM [1.2K]4 years ago

7 0

Answer: A compass is used to draw arcs

I got the answer right on a quiz

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl

Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in $5C2$ ways.

There are n tables and we can choose 2 tables from n table in $nC2$ ways.

We can represent our given information in an equation as:

$5C2\times nC2=150$

$\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150$

$\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150$

$10\times \frac{n!}{2!(n-2)!}=150$

$\frac{n!}{2!(n-2)!}=15$

$\frac{n!}{2*1*(n-2)!}=15$

$\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15$

$\frac{n(n-1)}{2}=15$

$n(n-1)=30$

$n^2-n=30$

$n^2-n-30=0$

$n^2-6n+5n-30=0$

$n(n-6)+5(n-6)=0$

$(n-6)(n+5)=0$

$(n-6)=0\text{ (or) }(n+5)=0$

$n=6\text{ (or) }n=-5$

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

8 0

3 years ago

Jamie received $40 for 4 hours of work, Jasmine received $56 for 7 hours of work, and Kevin received $54 for 6 hours of work. Wh

victus00 [196]

Answer:

jamie

Step-by-step explanation:

jamie received the most because once you divide them this is what you get

jamie: 40/4 (10/per hour)

jasmine: 56/7 (8/per hour)

Kevin: 54/6 (9/per hour)

3 0

4 years ago

Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?

otez555 [7]

Answer:

87.5

Step-by-step explanation:

-2

8 0

4 years ago

a waiter earns 128$ for 6 hours of work the total included 86 in tips how much does the waiter earn each hour?

matrenka [14]

Answer: the waiter earns $7 for each hour

Step-by-step explanation:

You take away the tips from the total, then divide by the 6 hours of work. You get $7.

6 0

3 years ago

A plane seats 480. If 3/4 of the seats were full, how many people were on the plane? (Multiplying Rational Numbers)

ololo11 [35]

Your equation is just to multiply 480 by 3/4.

Easy way to do these quick.

480 (3/4) is the same as (480 * 3) / 4

480 / 4 = 120

By simplifying, you are left with just 120 * 3 in the numerator

120 * 3 = 360

There are 360 people on the plane.

If you need to check your answer:

360 / 480

Take away the zeros at the end by dividing both by 10

36 / 48

Divide both by 6

6 / 8

Now divide by 2

3 / 4

6 0

3 years ago