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4 years ago

Write a related addition fact for 15-6=9.

Mathematics

2 answers:

babymother [125]4 years ago

6 0

6+9=15 is a related addition fact for 15-6=9

Andrej [43]4 years ago

6 0

9+6=15
I hope this helps you!!

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Which statement below is true?

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Answer: The answer is A

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Use mathematical induction to prove the following statement: 8"-1 is a multiple of 7 for all neN

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Answer:

Step-by-step explanation:

To prove that $8^n-1$ is a multiple of 7.

Proof by induction:

Let n =1. Then we have 8-1 =7 is a multiple of 7

Thus the P(1) is true.

Let us assume that P(n) is true.

$8^n-1$ = 7l is true for some integer l

To check for P(n+1)

$8^{n+1} -1$ =LHS

= $8^n(8)-1\\=(7l+1)8-1\\=56l+7\\=7(8l+1)$

Thus we find that this is also a multiple of 7.

If true for n, then true for n+1

Hence we find that since true for 1, we have it is true for all natural numbers.

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3 years ago

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Find the average rate of change from interval x=-1 to x=2

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Step-by-step explanation:

because your graph tells u the answer everytime if u look it goes up 1 and over 1 each time

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3 years ago

A wooden block in the shape of a rectangular pyramid is shown below:

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The answer is the third option, which is: Trapezoid.

The explanation for this asnwer is shown below:

1- A rectangular pyramid is a solid whose base is a rectangle and its faces are triangles.

2- When you slice or cut a solid with a plane, you obtain a shape which is known as "Cross section".

3- In this case, if these plane is perpendicular to the base but does not pass through the top vertex of the rectangular pyramid, the intersection of the plane with the pyramid, or the resulting shape will be a trapezoid.

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4 years ago

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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13

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Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

Base Area : Circle

$A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi$

Curved Surface: conical

$A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi$

The total surface area of the cone can be written as ( A ):

$A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2$

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

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4 years ago