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Katena32 [7]
3 years ago
12

Question 4(Multiple Choice Worth 5 points)

Mathematics
2 answers:
Brut [27]3 years ago
6 0

Answer:

A = 36 ft^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 12) * 6

A = 36 ft^2

iren [92.7K]3 years ago
4 0

Answer:

36 square ft

Step-by-step explanation:

You might be interested in
The owner of a maple syrup farm is studying the average winter temperature in Fahrenheit and the number of gallons of maple syru
frosja888 [35]

Answer:

Step-by-step explanation:Maple Syrup: New Producers and Hobbyists

A chance for first time sugarer to learn the basics.

Save For Later Print

Maple Syrup: New Producers and Hobbyists - Articles UPDATED: NOVEMBER 10, 2011

Maple Syrup: New Producers and Hobbyists

General Overview

Maple sugaring can be very enjoyable; however, it is labor intensive, especially for the small scale producer or hobbyist because the equipment is smaller. If a hobbyist has access to healthy, tappable sugar maple trees, the first consideration is the ability and time to evaporate the sap to finished syrup. You must be honest with yourself about the amount of time you not only have available but are willing to spend evaporating. The syrup will run when the weather is right, not when it is most suitable to you. You may have numerous good runs during a one or two month sugaring season. Unless you pull the taps early or dump some runs, you will have to process them all. Sap can only be stored for a limited period of time before spoilage. Spoilage occurs faster during good runs because the weather is warm (usually 40 degrees or more). Sap is essentially a light sugar solution that is wonderful microbe food. If you work on a farm, in your own business, or can work your schedule around good runs, then sugaring may be for you. Many dairy producers and farmers are also sugarers because this works well with their schedule.

Getting Your Feet Wet

Alternative 1

Hobby maple syrup operations can vary greatly in size. For a producer that taps 10 trees or less, a pair of very large cooking pots may be sufficient to handle your evaporation. This method is slow and is best suited to someone that wants to learn about sugaring. Remember that 10 trees may make 20 gallons of sap in a good run and unless you have really big pots (apple butter or butcher kettles) or alot of time, production may be slow. A flat evaporating pan, which larger operations would us as a "finishing pan," will substantially increase your rate of evaporation in pots. These pans can be purchased new or used from a sugaring equipment supplier or manufactured by a sheet metal worker. A hobbyist should try a small-scale operation for at least a year before considering the large investment necessary to start even a small sugaring business.

Alternative 2

If you live in a maple sugaring area, you may be able to tap trees and sell the sap to a neighboring producer. A producer that wants to increase production may be willing to buy sap instead of adding taps. The purchase price will be low (in the range of $0.10 to $0.70 per gallon); however, you can develop a good collection network and perfect this end of the business prior to investing in evaporation equipment.

Sugaring season may start as early as late-January. The primary trigger for good sap flow is warm days and freezing cold nights. Either ask your local Extension Agent or the Maple Syrup Team about the progress of the tapping season. Starting early in the season is usually good for sap quality and quantity but can be very frustrating when continuing cold conditions leave you for days with little or no sap.

Tree Selection

For the hobbyist, several types of maples can be tapped: sugar, black, red, silver or Norway. Sugar and black maples are the best; however, red maples are also used to some extent commerically. Select trees with large canopies with trunks greater than 31 inches in circumference (10 inches diameter). Avoid trees that are not vigorous or that have large defects. These trees will produce low sugar content sap and may be excessively stressed by tapping.

Tapping

Sugar producers use a 7/16 inch drill bit to tap trees. The holes are usually bored to a depth of about 2 1/2 inches and at a slightly upward angle so that the tap drains well. Care should be taken not to "round out" the hole. Traditional guideline suggest that tap holes be six inches to the side or twenty four inches above or below unhealed tap holes. Tap holes will be healed in 2 or 3 years. Be cautious of clustering tap holes in subsequent seasons. Traditional guidelines allow up to four taps in big trees; however, conservative tapping allows only 2 taps even on very large trees. Producers currently follow both guideline. Large trees with fewer taps tend to produce more sap per tap than when more taps are used, so the decision on which set of guidelines to follow is complicated. Both traditional and conservative tapping guidelines are included in the table below.

4 0
2 years ago
Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

\frac{d}{dx}\cdot f(x)

Now the sum of the 2 functions is shown below

y=f(x)+g(x)

Diffrentiating both sides with respect to 'x' we get

\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

\frac{dy}{dx}

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0
3 years ago
Halp me plssssssssssssssssssssssssssss
miss Akunina [59]

I think its 180/24 here is my work

\frac{3}{8}\\=\\ \\\frac{9}{24} \\\\\frac{5}{6}\\=\\ \\\frac{20}{24} \\ so you find the lcm of \frac{20}{24} and  \frac{9}{24} = 180/24

5 0
3 years ago
Read 2 more answers
How do you simplify 15/40​
Katyanochek1 [597]

Answer:3/8

Step-by-step explanation:

The simplest form of  

15 /40  is  3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 40 is 5

Divide both the numerator and denominator by the GCD

15 ÷ 5

40 ÷ 5

Reduced fraction:  

3 /8

Therefore, 15/40 simplified to lowest terms is 3/8.

3 0
3 years ago
which will increase the volume of a square pyramid more doubling the length of each side of tripling the height (hint test it wi
Furkat [3]
Im pretty sure it would be doubling the length of each side
8 0
3 years ago
Read 2 more answers
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