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stellarik [79]
3 years ago
10

Estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 c

m,length of the shadow of the tree:840 cm,calculate the height of the tree
​
Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

1303.45 cm

Step-by-step explanation:

The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.

Let x be the height of the tree. Setting the ratios equal, we get:

180/116 = x/840

Solve for x:

x = 840 * (180/116)

x ≈ 1303.45 cm

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Mary is five times older than Julian. If the<br> sum of their ages is 42, how old is Mary?
Tanya [424]

Answer:

35

Step-by-step explanation:

M=5J

J=M/5

42=6J

42/6=7

Jullian is 7

7x5=35

Mary is 35

35+7=42

4 0
3 years ago
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Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.
11111nata11111 [884]

Answer:

For the first one: they increase in  by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

8 0
2 years ago
Does anyone know how to answer this?
max2010maxim [7]
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2 years ago
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For the scenarios presented in Problems 9–17, identify a problem worth studying and list the variables that affect the behavior
Nastasia [14]

Answer:

Problem: A company with a fleet of trucks faces increasing maintenance costs as the age and mileage of the trucks increase

Identify a problem worth studying : Yes, this problem is worth studying as it illustrate the classical optimization problem where to either minimize or maximize the outcome given some constraints. In this problem we need to maximize our profit by minimizing our maintenance cost give the age of trucks.

List the variables that affect the behavior you have identified: Lease expense, license, taxes, insurance, number of trucks, number of mechanics, type of fuel, maintenance and repair, labor, number of breakdowns, wait time to repair, loss of revenue and delay penalties, drivers retention and attrition, and number of customer reviews (negative and positive) the service.

Which variables would be neglected completely: Unless there are plans to relocate to different state with different regulations, the following variables can neglected completely: Lease expense, licenses and permits, taxes, insurance, number of trucks, number of mechanics, type of fuel.

Which might be considered as constants initially: Assuming that our mechanics are full time employees, the labor cost can be considered constant. However, the parts and materials associated with the labor are not constant. And any one time cosmetic fixes can be considered constants such as a small paint job or seat cleaning.

Can you identify any sub models you would want to study in detail?: The sub model that I want to study in more detail is as follow:

Truck ownership cost=truck depreciation+truck Return on Investment (ROI)

As the truck depreciation is constant, the main focus will be on truck Return on Investment (ROI).

Truck Return on Investment (ROI)=(the gain from the truck−Cost of investment)/cost of investment.

Hence the detailed subsystem can be as follow:

Cost of investment=(Fuel cost +maintenance cost +breakdown cost+wait cost).

Identify any data you would want collected:  The data you would want collected is maintenance cost and type of maintenance and specifically the tracks and truck parts that break down the most. The wait time needed to fix and maintain the trucks. And finally customer reviews. In other words, I would collect any data that directly or indirectly impact revenues. With the collected data, I would well informed about the best time to decide replacing trucks that are performing very poorly and negatively impacting the bottom-line of the company.

Step-by-step explanation:

The specific problem is selected above and it is worth analyzing and studying because is is similar to a classical optimization problem. This is because the desired output can be either maximized or minimized by adjusting the values of certain constraints such as maintenance cost, trucks parts and other necessary parameters.

8 0
2 years ago
Leslie took a total of 40 quizzes over the course of 5 weeks. After attending 7 weeks of school this quarter, how many quizzes w
kow [346]

Answer:

56 quizzes

Step-by-step explanation:

40 quizzes = 5 weeks

To find the unit rate of quizzes / week, we can divide both sides by 5

40/5 quizzes = 5/5 weeks

8 quizzes = 1 week

Multiply both sides by 7 to find the amount of quizzes in 7 weeks

8 * 7 quizzes = 1 * 7 weeks

56 quizzes = 7 weeks

5 0
2 years ago
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