Find the diagonal of the box using the Pythagorean Theorem.

Mathematics

1 answer:

Luda [366]3 years ago

5 0

Answer:

26 cm

Step-by-step explanation:

Diagonal of the box using Pythagorean Theorem can be calculated using the formula:

a² + b² + c² = d²

Where,

d = diagonal of the box = ??

a = length = 24 cm

b = width = 8 cm

c = height = 6 cm

Plug in the value into the formula

24² + 8² + 6² = d²

576 + 64 + 36 = d²

676 = d²

√676 = d

d = 26 cm

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What are the possible number of positive, negative, and complex zeros of f(x) = 3x4 - 5x3 - x2 - 8x + 4?

postnew [5]

I am using the Descartes Rule of Signs.

f(x) = 3x^4 - 5x³ - x² - 8x + 4

positive zero: 2 or 0.
x = + - - +
There are 2 sign changes : + to - ; - to +.

negative zero: 1.

f(-x) = 3(-x^4) - 5(-x³) - (-x²) - 8(-x) + 4
f(-x) = 3x^4 + 5x³ - x² + 8x + 4

-x = + + - + +

there is only 1 change of sign. - to +.

There are 2 or 0 positive solutions and 1 negative solution.

6 0

3 years ago

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Which box-and-whisker plot is the correct drawing for the following data? 38, 29, 23, 23, 34, 25, 36, 35, 20, 17, 24, 25, 27, 20

Darina [25.2K]

Answer:

Step-by-step explanation:

38, 29, 23, 23, 34, 25, 36, 35, 20, 17, 24, 25, 27, 20, 30

17 20 20 23 23 24 25 25 27 29 30 34 35 36 38

Number of values = 15

Median = 8th value = 25

First quartile