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What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,…

Andrew [12]

The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3 -1-2=-3 -4-(-1)=-3 -7-(-4)=-3 The difference between all the adjacent terms is the same and equal to -3

6 0

3 years ago

Read 2 more answers

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has

Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

The surface area of the square is 4 square inches

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

$SA = \frac{1}{2} *B*H$

To find 2 triangles, we will do:

$SA = B*H$

But to find 4 triangles in just 1 step, we will do:

$SA=2*B*H$

Let's do it!

$SA = 2*2*5\\=2*10\\=20$

The surface area of the 4 triangles are 20 square inches

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

4 0

2 years ago

Which type of triangle will always have exactly 1-fold reflectional symmetry? right triangle obtuse triangle equilateral triangl

ivolga24 [154]

Isosceles triangle ig

8 0

3 years ago

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Consider the quadratic function f(x) = x2 – 5x + 6.

PolarNik [594]

A = 2
b = -5
c = 6

The coefficients are 2 and -5
The constant is 6

5 0

4 years ago

Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank

Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory

5 0

4 years ago