At a given time of the day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 3 ft stick in the ground casts a shadow is 1.5ft, find the height of a tree that casts a shadow that is 10.15ft

Answers

Answer 1
Answer:

Answer:

20.3 ft

Step-by-step explanation:

The object-shadow ratio for the stick= 3÷1.5=2:1

The object-shadow ratio is same for all objects.

Let height of the tree be x

2/1 = x/10.15

x=10.15 * 2=20.3


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What is the slope of the line through the points (9,2) (9,2) and (4,10)

Round 245.675 to the nearest tenth

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the answer is 245.7 since 7 is larger than 5 you round up

15 POINTS which is the graph of the cube root function f(x)=3 square root x?

Answers

Graph f( x ) = 3 √ (x - 2) and find the range of f. The solution to Example 2: The domain of the cube root function given above is the set of all real numbers.


What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Graph f( x ) = 3 √ (x - 2) and find the range of f. The solution to Example 2: The domain of the cube root function given above is the set of all real numbers.

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Answer:

graph

Step-by-step explanation:

I've taken the quiz and it's completely correct :)

How many times larger is 6.1 times 10 to the seventh power than 2.1 times 10 to the negative fourth power?

Answers

Answer:

the correct answer to this question is 1.281 ×10 to the sixty seventh power

Joe is researching the cost of going to college. He sees the table shown. Joe wants to create a mathematical model, f(x), where x represents the number of academic years since 1979-1980, to predict future cost of tuition and fees using data in the table.

Which type of function will most closely match the data?
A) decreasing linear function
B) increasing linear function
C) exponential decay function
D) exponential growth function

Answers

Answer:

D) Exponential Growth Function

Step-by-step explanation:

This is because in a linear equation, there is a constant 'slope' of how something increases like a specific amount but in this equation, the growth is by a specific percentage which allows for a difference in the amount each year. For example, a linear function would be if it increased by four dollars every year, so 2, 4, 6, 8,etc. But a exponential function would be like if it increased by for percent each year, so 2, 2.16, 2.25, 2.34, etc.

Answer:

D) exponential growth function

Step-by-step explanation:


What is 12 divided by 72

Answers

The value of 12 divided by 72 is 1/6

What is division?

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

For example if 200 apples are to be shared by 25 students, the number if apples that will get it each students is calculated as;

200/25 = 8 apples each.

Similarly, dividing 72by 12

= 12/72

divide through by 2

= 6/36

divide through by 6

= 1/6

Therefore 12 divided by 72 is 1/6

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12 divided by 72 is 0.16666666666667.
72 divided by 12 is 6.

Suppose cluster sampling were being used to survey MyBook users, whoamount to 28% of the population of the United States. Based on the table
below, which city would be considered the best cluster?


Denver 27%

Honolulu 9%

Miami 16%

Philadelphia 46%


A. Philadelphia

B. Miami

C. Denver

D. Honolulu ​

Answers

The correct option for the city which would be considered as the best cluster is B. Miami,  16% of the population are MyBook users.

What is a survey?

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

Now given that,

Amount of population that are MyBook users = 28%

Thus,

Amount of population that do not uses MyBook = 100% - 28% = 72%

Thus, Philaldephia and Denver cannot be percentage of the population who are MyBook users.

Thus, the correct option for the city which would be considered as the best cluster is B. Miami, 16% of the population are MyBook users.

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Answer:

The best cluster would be Philadelphia which percentage of 27% is nearly close to 28% of the whole united states population percentage.

Step-by-step explanation: