Decimal expansion of 1

A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.

docker41 [41]

A Because if you do 156 x 20 it equals 3120. It’s A because the volume formula is Length x Width x height, And 156 and 20 were the only numbers given.

4 0

3 years ago

In triangle ABC, D is the midpoint of side AC and E is the midpoint of side BC.

cestrela7 [59]

Answer:

14

Step-by-step explanation:

Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.

Suppose two triangles with similar conditions

1^2+1^2=2

Hypotenuse=2^1/2

We assume another triangle which is exactly double of previous triangle I.e

2^2+2^2=8

Hypotenuse=2×2^1/2

Which is exactly twice of previous triangle.

Hence proved hyootenuse is double of smaller triangle I.e 14

8 0

3 years ago

Which function family are these 3? thanks..

Julli [10]

Answer:

1) Function; Linear Function (y=x)

2) Function; Exponential Function (y=bˣ)

3) Not a function.

Step-by-step explanation:

So, let's go through each table of values. I'm also going to graph them (see attached graphs) because it will make things simpler and provide a visual.

First, also recall what the definition of a function is. A function is a function if and only if an x only has one distinct y-value. No x can have two or more y-values. For instance, (1,2) and (1,3) is not a function between the x repeats. So, let's go through the choices:

1)

We have the table as shown. Let's plot the points. See TABLE 1:

First, there are no repeating x-values, so we can be sure that this is indeed a function.

Looking at the graph, we can see that this resembles a linear graph. So, the parent function of this is a line.

The parent function of a line is:

$y=x$

So, table 1 is associated with a linear function.

2)

Let's again plot the points. See TABLE 2.

Again, there are no repeating x-values, so this is also a function.

Looking at the graph, this resembles an exponential function. The function increases slowly at first but starts increasing increasingly fast. The parent function is thus an exponential function.

So, table 2 is associated with an exponential function.

3)

First, notice how all the x-coordinates are repeating. And since they do not equal the same thing, this is not a function.

Table 3 is not a function and so has no corresponding family function.