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Harman [31]
3 years ago
8

HELP NOW PLEASEEEEE !!! Factor using the GCF: 45n² + 9

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

9(5n²+1)

step by step explanations;

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Answer:

It is 41 Liters

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Which is the graph of g(x)?
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Answer:

b

Step-by-step explanation:

7 0
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In a large population, 57 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that
ollegr [7]

Answer:0.92

Step-by-step explanation:

Given

57\% of Population is vaccinated

So, Probability of a person being vaccinated is P=0.57

and simultaneously , probability of not vaccinated is 1-P

=1-0.57=0.43

Now, Probability that atleast one of them has been vaccinated is given by

=1-P(\text{None of them is vaccinated})

=1-0.43\times 0.43\times 0.43

=1-0.0795

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7 0
3 years ago
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Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a
SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, <em> </em>I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

Area_{A}=0.25*Area_{B} (Equation\ 1)\\

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}

put this value into equation 1

Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\  Area_{B}=80\ cm^{2}

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)}  \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm

Now, put the value of length(2B) into equation 3 to know length (1B)

length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm

I really hope this helps you, have a great day.

6 0
3 years ago
Convert 16 feet into meters using the conversion factor 1 meter = 3 feet
RUDIKE [14]

Answer:

5.33 repeating

Step-by-step explanation:

Divide 16 by 3 to convert to meters

6 0
3 years ago
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