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Inessa [10]
3 years ago
13

An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a sid

e of the new triangle?

Mathematics
2 answers:
Damm [24]3 years ago
7 0

Answer:

18

Step-by-step explanation:

Let the side of the triangle be a and that of the new one be a'.

a'/a = 3/1      Insert the value of a

a'/6 = 3        Multiply each side by 6

  a' = 18

The measure of a side of the new triangle is 18.

Slav-nsk [51]3 years ago
5 0

Answer: 18 units.

Step-by-step explanation:

  • When a segment 'm' is dilated by a scale factor 'k' , then the measure of new dilated segment will be 'km'  [i.e. New side length =scale factor is multiplied to the original side-length].

Given : An equilateral triangle is dilated by a scale factor of 3.

[Note an equilateral triangle has all its side-lengths are equal.]

Side-length of the original triangle = 6 units

Then, the measure of a side of the new triangle = Scale factor x Original side-length

= 3 x 6 = 18 units

Hence, the measure of a side of the new triangle = 18 units.

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kifflom [539]

Given:

The equation of ellipse is

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1      ...(ii)

On comparing (i) and (ii), we get

b^2=16

Taking square root on both sides.

b=\pm 4

Consider only positive value of b because length cannot be negative.

b=4

Now,

Length of minor axis = 2b

                                  = 2(4)

                                  = 8

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

8 0
2 years ago
What is the value of y when -5 =<br> = y - 7?<br> 9<br> a. -7<br> b.-11<br> C. -38<br> d. -52
weqwewe [10]

Answer:

2

Step-by-step explanation:

You have to cancel the -7 so you would add +7 to each side.

-7+7=0, -5+7= 2

y=2

Although this isn't an answer choice. Did you mistype something?

8 0
3 years ago
PLZ CHECK MY ANSWER. Round your answer to the nearest tenth.
Umnica [9.8K]

Answer:

D. 70.34 cm^2

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

area = \frac{56}{360}*3.14*12^2

area = 70.34

Area of the sector ABC = 70.34 cm^2

The answer is D

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3 years ago
Find the area of the shape below. All measurements are in miles.
IrinaK [193]
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2 years ago
28. Higher Order Thinking What is the<br> least multiple 6 and 8 have in common?<br> Explain.
lisov135 [29]

Answer:

24

Step-by-step explanation:

I think you ask about LCM

6- 2×3

8- 2×2×2

lcm = 2×2×2×3 = 24

7 0
3 years ago
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