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Greeley [361]
3 years ago
13

Larissa is measuring fabric to make a homecoming banner. She knows that the fabric is 1 and 1/2 yard wide. If she wants her bann

er to have an area of 3 and 1/4 yards, what will the length of the fabric be?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0
It’s very confusing but just think ab it
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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,
maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles:40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

A(n)=40\cdot1.5^{2(n-1)}

We want to determine which triangle has an area greater than 15000cm^2.

When A(n)=15000

40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31

Therefore, the 9th triangle has an area greater than 15000cm^2.

5 0
3 years ago
Frank and his family went on vacation one summer, and drove 3,000 miles in 10 days. If they drove an equal distance every day, h
kiruha [24]

Answer:

Distance cover by Frank and family each day = 300 miles per day

Step-by-step explanation:

Given:

Total distance cover by Frank and family = 3,000 miles

Number of days = 10

Find:

Distance cover by Frank and family each day

Computation:

Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days

Distance cover by Frank and family each day = 3,000 / 10

Distance cover by Frank and family each day = 300 miles per day

3 0
3 years ago
Read 2 more answers
PLS Help me! This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x
viktelen [127]

Answer:

The domain is the set of all possible x-values

  • Domain is the time here

The range is the resulting y-values

  • The range is the outside temperature is here
  • Function is decreasing between x= 0 to 3
  • It means the temperature is decreasing between midnight and 3 AM

5 0
3 years ago
Who came up with y=mx+b
allsm [11]

Answer:Renee Descartes was the person that invented slope of a line

Step-by-step explanation:Renee Descartes was the person that invented slope of a line

6 0
3 years ago
Maya has 120 caramel apples to sell. Each caramel apple is covered with one
mylen [45]

Answer:

peanuts=2/5

chocolate chips=1/8

coconut=3/10

rest=sprinkles

2/5+1/8+3/10

lcm=40

<u>16 + 5 + 12</u>

     60

=33/60

60/60 -33/60

=27/60

=9 /20 apples are covered with sprinkles

9/20 x 120

<h2>=63 apples are covered with sprinkles</h2>

Step-by-step explanation:

6 0
3 years ago
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