When is it helpful to use simpler numbers to solve a problem

Answers

Answer 1
Answer: probably if the equation has a lot of decimals

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A school wishes to enclose its rectangular playground using 480 meters of fencing.Suppose that a side length (in meters) of the playground is , as shown below.(a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x.(b) What side length x gives the maximum area that the playground can have?(c) What is the maximum area that the playground can have?
Ross found 5 ladybugs each is 0.8 centimeter long If he lays the ladybugs in a row what is the total length in milimeters
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The base of a triangle is 21 inches and the height is 12 inches which of these expressions correctly shows how to calculate the area of a triangle a (21 x 12) divided by 2 b ( 21 + 12) x 2 c (21 + 12) divided by 2 d ( 21 x 12) x 2
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Please help!!!!!! (fill the blank)Part 2: Find the volume of the shipping box using the total number of fish food cubes.

Step 1: Find the volume of the fish food cube. Remember to include units.


Volume of the fish food cube = _____ × _____ × _____ = __________

Answers

Answer:

Volume fish foodcube = 0.015625 ft^3

Volume Shipping box= 42.1875 ft^3

Step-by-step explanation:

Volume Fish food cube: 1/4 × 1/4 × 1/4 = 0.015625

Volume Shipping Box: 15/4 × 15/4 × 12/4 = 42.1875

Can you put be Brainliest please if it helps

From the top of a lighthouse 180 feet high, the angle of depression of a boat is 23o. Find the distance from the boat to the foot of the lighthouse to the nearest foot. (The lighthouse was built at sea level.)

Answers

Answer:

The lighthouse is 424 feet away.

Step-by-step explanation:

There is no other way to do this but to use one of the 6 trigonometry functions.

Drawing

Draw a dotted horizontal line.

judge an angle that could be 23o. Let it slant downward from the left side of the dotted line.

Draw another horizontal line that represents sea level.

Join the left side of the dotted line to the last line you drew. The angle on your right is also 23o.

Function

You have 6 trig functions to choose from. You have the lighthouse height (180 feet) the angle on your right, and the length on the horizontal representing the distance from the lighthouse base to the boat.

You have an angle

You have an opposite side

You have a horizontal line (the adjacent side)

You want to use the tangent function.

Tan(23) = opposite / ad

Tan(23) = 180 / adjacent     Multiply both sides by the adjacent

adjacent*Tan(23)= 180        Divide by Tan(23)

adjacent = 180/Tan(23)

adjacent = 180 / 0.42447

adjacent = 424 feet.

$3.75 rounded to the nearest dollar

Answers

4 dollars.

Remember 

1-40 is is rounded back to one
50-100 is rounded to 100
$4.00 would be the answer

Estimate large and small values using powers of ten

Answers

Answer:

100 times

Step-by-step explanation:

125x100=12500

because its an estimate this is the closest value

Answer:

100 times

Step-by-step explanation:

12580/125 is about 100

Estimate the with of 20.754-14.526

Answers

Answer:

6.228

Step-by-step explanation:

it may be answer calculator

Sarah cut off one eighth of a 48 inch piece of ribbon Jane cutoff one nineth of a 36 peace ribbon they compared their cut pieces whose piece is longer how much longer

Answers

Sarah: 48 * 1/8
Jane: 36 * 1/9
you could do 2 things here
a. solve the problem by multiplying the two "fractions" together for each person to get a number, and the larger number means the larger piece
or
b. take a step back and look at it piece by piece
first lets compare
Sarah has a piece of Ribbon equal to 48 inches while
 Jane's ribbon is only 36 inches in length
so Sarah has the most ribbon to start out with
now lets compare the two fractions
1/8 and 1/9
the smaller the denominator the bigger the number actually is
because the denominator just means "divided by" this number, so the smaller the number, the less "groups" the numerator is being split up into.
now in that case, 1/8 is the bigger fraction, and this fraction belongs to Sarah
now if Sarah has the larger Ribbon and the larger fraction, then she automatically has the larger ribbon.

however, in this problem it asks for "how much longer"
so we have to treat each of the numbers for each person as if it was a fraction
48 inches for Sarah and 36 inches for Jane will be over 1, showing that it is 48 and 36 "wholes" or whole numbers
48/1 and 36/1
now we multiply 48/1 by 1/8 because that i how much ribbon sarah needs
multiply the numerator by the numerator and the denominator by the denominator
48/1* 1/8 = 48/8 or simplified to 6/1 or 6 inches of ribbon for Sarah
do the same for Jane
36/1 * 1/9 = 36/9 or simplified to 4/1 or 4 inches of Ribbon for Jane
therefore we can conclude
Sarah has 2 more inches of Ribbon than Jane