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alexandr1967 [171]
3 years ago
11

Classify each number as rational or irrational.

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

π - irrational

0.04053.. - irrational

0.76 - rational

3.565565565 - irrational

-17 - rational

3.275 - rational

Step-by-step explanation:

rational = can express as fraction

irrational = cannot

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What is the volume of this container?
Keith_Richards [23]

Answer:

The volume of the container is 56\ in^{3}

Step-by-step explanation:

we know that

The volume of the figure is equal to

V=Bh

where

B is the area of the base

h is the height of the figure

Let

h=4\ in

Find the area of the base B

B=(4*4)-(1*2)=14\ in^{2}

substitute

V=14*4=56\ in^{3}


3 0
3 years ago
Point A is the point of concurrency of the angle bisectors of ΔDEF. Point A is the point of concurrency of triangle D E F. Lines
fiasKO [112]

Answer:

  ZA = 3 cm

Step-by-step explanation:

Point A is the incenter of the triangle, so segments AX, AY, and AZ are radii of the circle. They are all the same length, given as 3 cm and confirmed by 3-4-5 right triangle AYD.

  ZA = 3 cm

8 0
3 years ago
E
laiz [17]

Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

8 0
3 years ago
What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (
saw5 [17]

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

<h3>1) GRAPH</h3>

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

<h3>2) FORMULA</h3>

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

7 0
3 years ago
Planes Q and R are parallel. Explain how you know lines a and b are skew.
gizmo_the_mogwai [7]

Answer:

We don't know that they skew but if Q and R are the same length then they aren't. But if Q and R are different lengths then they are skew. It would help to post a picture.

Step-by-step explanation:

8 0
3 years ago
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