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kow [346]
3 years ago
15

If triangle ABC Is dilated by a scale factor of 2.5 with a center of dilation at vortex be how does the area of A’B’C compared w

ith the area of ABC?
*Please answer fast*

Mathematics
1 answer:
arlik [135]3 years ago
7 0

Answer:

The area is 6.25 times greater.

Step-by-step explanation:

Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.

The area will increase to 2.5^2 = 6.25 times.

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A. 8pi<br><br> B. pi<br><br> C. 2pi<br><br> D. 4pi
mestny [16]

Answer: Option C

AC = 2\pi

Step-by-step explanation:

The arc length is calculated as

L = \theta * R

Then

AC = \theta * R

We know that

BC = 24\ ft

If BC is the diameter of the circumference then the radius R is:

R = \frac{BC}{2}

R = \frac{24}{2}

R = 12\ ft

Now we convert the anglo from degrees to radians\theta= 30\° * \frac{\pi}{180\°}\\\\\theta=\frac{1}{6}\pi

Finally

AC = \frac{1}{6}\pi * 12

AC = 2\pi

7 0
3 years ago
Read 2 more answers
In a certain​ country, the true probability of a baby being a girlgirl is 0.4810.481. among the next sixsix randomly selected bi
Ilia_Sergeevich [38]
Probability of the next six babies being a girl  = (0.4810)^6 = 0.0124

Therefore probability of at least one boy in next six births = 1 - 0.0124

=  0.9876  Answer


4 0
3 years ago
A sphere is partially filled with air. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is
Rama09 [41]

Answer:

  137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

  A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

  dV/dt = A·dr/dt

  548 ft³/s = (144π ft²)·dr/dt

  dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

8 0
3 years ago
Susan is celebrating her birthday by going out to eat at five guy's for burgers. If the bill in $40 and she wants to leave a tip
damaskus [11]

Answer:

  $6

Step-by-step explanation:

Susan can easily figure the tip by the following procedure. 10% of the bill is the amount with the decimal point moved one place to the left, so is $4.00. 5% of the bill is half that, or $2.00.

15% of the bill is 10% + 5%, so is $4.00 +2.00 = $6.00. The tip will be $6.00.

7 0
4 years ago
Which undefined term is needed to define a circle?
Solnce55 [7]
A Point is needed to define a circle Hope this helps!!!
3 0
4 years ago
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