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3 years ago

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Mathematics

1 answer:

tatiyna3 years ago

5 0

Answer:

positive infinity bc it is going up

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Find n(A) for A={0,1,2,3,...,2000}

miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

7 0

3 years ago

How do you solve x- 17 =23

Reptile [31]

x-17= 23

move -17 to the other side

sign changes from -17 to +17

x-17+17= 23+17

x= 23+17

Answer:

x= 40

8 0

3 years ago

Read 2 more answers

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

Pie

Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

= $3 \times 20 = 60 inches$

Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

$S= 390+100\sqrt{3}$ square inches

Hence, the surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches.

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3 years ago

Write each proof as a two column proof

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

What can be used as a statement in a two column proof?

A two-column proof consists of a list of statements, and the reasons why those statements are true. The statements are in the left column and the reasons are in the right column. The statements consists of steps toward solving the problem.

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3 years ago

Find the directional derivative of the function at the given point in the direction of the vector v. F(x, y, z) = xey + yez + ze

Vitek1552 [10]

no rurio greob tryo yeu

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4 years ago