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ollegr [7]
3 years ago
7

Noah drew a scaled copy of Polygon P and labeled it Polygon Q. If the area of Polygon P is 5 square units, what scale factor did

Noah apply to Polygon P to create Polygon Q?

Mathematics
2 answers:
vredina [299]3 years ago
8 0

Answer:

The scale factor is 3

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

x -----> area of polygon Q

y ----> area of polygon P

so

z^{2}=\frac{x}{y}

we have

y=5\ units^2

<em>Find the area of polygon Q</em>

Divide the polygon Q into five squares

see the attached figure N 2

The area of polygon Q (area of the  five squares)  is

x=5(3^2)=45\ units^2

<em>Find the scale factor</em>

z^{2}=\frac{x}{y}

we have

x=45\ units^2

y=5\ units^2

substitute

z^{2}=\frac{45}{5}

z^{2}=9

square root both sides

z=3

therefore

The scale factor is 3

Svetach [21]3 years ago
5 0

Answer:

3 is the answer

Step-by-step explanation:

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Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
Eva8 [605]

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

6 0
2 years ago
Read 2 more answers
What’s the class width
aksik [14]

Answer:

4

Step-by-step explanation:

Class width is said to be the difference between the upper class limit and the lower class limit consecutive classes of a grouped data. To calculate class width, this formula can be used:

CW = UCL - LCL

Where,

CW= Class width

UCL= Upper class limit

LCL= Lower class limit

From the table above:

For class 1, CW = 64 - 60 = 4

For class 2, CW = 69 - 65 = 4

For class 3, CW = 74 - 70 = 4

For class 4, CW = 79 - 75 = 4

For class 5, CW = 84 - 80 = 4

Therefore, the class width of the grouped data = 4

6 0
3 years ago
A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicin
Bess [88]
James will need 115.08mg of medicine at the start of day 6.
5 0
3 years ago
What's the answer!!!!!! Urgent!!!
never [62]
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7 0
2 years ago
Simply (2)/(3)a+6-(3)/(5)a-1
Bas_tet [7]

Answer:

That simplifies to \frac{1}{15}a + 5

Step-by-step explanation:

Let's simplify:

\frac{2}{3}a + 6 - \frac{3}{5}a - 1\\\\\frac{10}{15}a - \frac{9}{15}a + 6 - 1\\\\\frac{1}{15}a + 5

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