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kotykmax [81]
3 years ago
5

If 900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible v

olume of the box?
Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:

1400

Step-by-step explanation:

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Find the length of the unknown side.<br> 25 cm<br> 15 cm
AleksandrR [38]

Answer:

b = 20 cm.

Step-by-step explanation:

<u>Define and explain:</u>

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

<u>Solve:</u>

a^2+b^2=c^2

a,b-legs

c-hypotenuse

15^2+b^2=25^2

225+b^2=625

625-225=400

b^2=400

b=20

<u>Conclude:</u>

Therefore, the length of the unknown side is 20 centimeters.

3 0
3 years ago
Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trot
Vesna [10]
378/6=63 miles per day
3 0
3 years ago
5 9 17 11 8 11 16<br><br><br> How do you do standard deviations with these numbers
BlackZzzverrR [31]

Answer:

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6)² = 36

9 - 11 = (-2)² = 4

17 - 11 = (6)² = 36

11 - 11 = (0)² = 0

8 - 11 = (-3)² = 9

11 - 11 = (0)² = 0

16 - 11 = (5)² = 25

Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

²√15.71 = 3.96

3 0
3 years ago
If f(x) = StartFraction x Over 2 EndFraction + 8, what is f(x) when x = 10?
goldfiish [28.3K]

Answer:

13

Step-by-step explanation:

f(x) = \dfrac{x}{2} + 8

f(10) = \dfrac{10}{2} + 8

f(10) = 5 + 8

f(10) = 13

5 0
3 years ago
Which statements correctly compare the two​ numbers?
Neko [114]

Answer:

A, E

0.557 is greater than 0.49.

0.6 is more than 0.669.

So, these are the answers.

Hope it helps!

5 0
3 years ago
Read 2 more answers
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