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blsea [12.9K]
3 years ago
6

If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compa

re with the area of ABCD?
Mathematics
2 answers:
Serjik [45]3 years ago
6 0

Answer:

A’/A = 2.25

Step-by-step explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

=====

For rectangle A’B’C’D’  

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

=====

A’/A = 2.25lw/(lw)     Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.

poizon [28]3 years ago
3 0

Answer:

The answer is "D"

Step-by-step explanation:

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A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe
aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=4, b= -6 and c= -225.

\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0
2 years ago
Marshall drove to work in rush hour traffic, going just 27 miles in 1 hour and 20 minutes. Later that day, he left work early to
iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

8 0
3 years ago
A pattern follows the rule "Starting with one, every consecutive line has a number one more than twice the previous line".
gtnhenbr [62]

Answer:

The fourth line will have 15 marbles

Step-by-step explanation:

The third line has 7 marbles. So, you double that and add one in order to find the number of marbles in the fourth line.

7*2=14

14+1=15

4 0
3 years ago
I just need help for 3 questions!
Hoochie [10]
4.1x+29
5(m-100)
I understand the third one but please correct me if I'm wrong
8 0
3 years ago
The double number line shows that Toni can type 180180180 words in 222 minutes. Based on the ratio shown in the double number li
vfiekz [6]

Answer:

<h3>Toni can type words in 3 minutes is 270 words</h3>

Step-by-step explanation:

Given that the double number line shows that Toni can type 180 words in 2 minutes.

<h3>To find how many words can Toni type in 3 minutes:</h3>

From the given Toni can type 180 words in 2 minutes,

⇒ Toni can type \frac{180}{2}

= 90

<h3>∴ 90 words per minute </h3>

For Toni would be able to type words in 3 minutes is

90\times 3

= 270

<h3>∴ 270 words per minute.</h3><h3>∴ Toni can type words in 3 minutes is 270 words.</h3>
6 0
3 years ago
Read 2 more answers
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