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2 years ago

A person is 6 feet tall and his shadow is 10 feet if a trees shadow is 25 feet long how big is the tree

Mathematics

1 answer:

Sidana [21]2 years ago

6 0

Answer:

The tree is 15 feet tall

Step-by-step explanation:

6 feet tall - 10 feet shadow

x feet tall - 25 feet shadow

x=(25*6)/10=15 feet

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The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.

jek_recluse [69]

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference that must Be equal

d=6-2=4 not equal to d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3 equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3

Explicit rule: a(n)=2*(3)^(n-1)

Recursive rule: a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO: a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

I really hope this helps <3

7 0

2 years ago

Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74

lilavasa [31]

Answer:

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

Step-by-step explanation:

Given the data:

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152

Sample size, n = 15

The first quartile, Q1 = 1/4(n+1)th term

Q1 = 1/4(15+1)th term

Q1 = 1/4(16) = 4th term

Q1 = 87

The Median , Q2 = 1/2(n+1)th term

Q2 = 1/2(15+1)th term

Q2 = 1/2(16) = 8th term

Q2 = 102

The third quartile, Q3 = 3/4(n+1)th term

Q3 = 1/4(15+1)th term

Q3 = 3/4(16) = 12th term

Q3 = 115

The interquartile range, IQR = Q3 - Q1

IQR = (115 - 87) = 28

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

4 0

2 years ago

How do you express the fraction 2/9 as a decimal?

Brut [27]

You divide 2 by 9 which is .2222--- or .2 if you round it to the nearest tenths.
Whenever you want to change a fraction to a decimal, you divide the numerator by the denominator.

4 0

3 years ago

Read 2 more answers

GEOMETRY PROBLEMS PLEASE HELP ME

SIZIF [17.4K]

Answer:

12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)

13) The graph shows that both angles are congruent so that means:

2x+8= x+22

2x= x+14

x=14

14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)

15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)

16) Angles ADC and FDE are vertical because they are opposite of each other

17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)

Hope this helps! ;)

7 0

2 years ago

$3 is what percent of $40

givi [52]

It is 7.5% of 40, hope this helps you

6 0

2 years ago

Read 2 more answers