What is the length of the diagonal for the given rectangular prism to the nearest whole unit?

1 answer:

7 0

Given:
length = 6
width = 5
height = 9

Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916 ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.

Given:
Pyramid base = 12 cm
height = 8 cm

We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.

a² + b² = c²

a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm

8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c Answer is letted D. 10 cm.

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The sequence an = one third(3)n − 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average

Maru [420]

The given sequence is:

$a(n)= \frac{1}{3} (3)^{n-1}$

a(2)=1
a(3)=3
a(4)=9

We are to find the average rate of change between n=3 and n=4 for the given function.

Average rate of change = $\frac{a(4)-a(3)}{4-3} = \frac{9-3}{1}=6$

So the average rate of change for the given function from n = 3 to n = 4 is 6

8 0

3 years ago

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DochEvi [55]

Answer:

Step-by-step explanation:

The researcher did no prediction or any (possible)

Hope this helps :)

7 0

3 years ago

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