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nexus9112 [7]
3 years ago
13

The diagram represents a reduction of a triangle by using a scale factor of 0.8.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

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Answer:

Step-by-step explanation:

 

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3 years ago
Hey can someone please help explain and answer this 1 question. There's a picture. Thank you!
g100num [7]
We'll first clear a few points.
1. A hyperbola with horizontal axis and centred on origin (i.e. foci are centred on the x-axis) has equation
x^2/a^2-y^2/b^2=1
(check: when y=0, x=+/- a, the vertices)
The corresponding hyperbola with vertical axis centred on origin has equation
y^2/a^2-x^2/b^2=1
(check: when x=0, y=+/- a, the vertices).

The co-vertex is the distance b in the above formula, such that 
the distance of the foci from the origin, c satisfies c^2=a^2+b^2.
The rectangle with width a and height b has diagonals which are the asymptotes of the hyperbola.

We're given vertex = +/- 3, and covertex=+/- 5.
And since vertices are situated at (3,0), and (-3,0), they are along the x-axis.
So the equation must start with
x^2/3^2.

It will be good practice for you to sketch all four hyperbolas given in the choices to fully understand the basics of a hyperbola.
6 0
3 years ago
Can someone help me with this please?!
STALIN [3.7K]

Answer:

  see below for a graph

Step-by-step explanation:

The first inequality does not include the "equal to" case, so its boundary is graphed with a dashed line. If we consider only the y term, we have y < ..., so the shading is below the line.

__

The second inequality includes the "equal to" case, so its boundary line is solid. Again, considering only the y-term, we have y ≥ ..., so the shading is above the line.

__

We find that points (-6, 0) and (0, 6) will satisfy both inequalities, as will any point in the doubly-shaded area.

8 0
4 years ago
What is the difference between 379.5 and 405.87?
Zolol [24]
To find the difference between two numbers, subtract.
405.87 - 379.5 = <span>26.37</span>
3 0
3 years ago
Read 2 more answers
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
Kipish [7]

Answer:

7th

Step-by-step explanation:

63 - 58 = 5

68-63 = 5

She is adding 5 points each time

a1 = 58

d = 5

a2 = 63

a3 = 68

a4 = 58+5 = 73

a5 = 73+5 = 78

a6 = 78+5 = 83

a7 = 83+5 = 88

This is the first assessment greater then 85, so the 7th assessment

4 0
3 years ago
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