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musickatia [10]
3 years ago
12

Need help on this question

Mathematics
1 answer:
morpeh [17]3 years ago
3 0
It is 5unit long the answer is 5unit
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In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2
balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

\triangle CAE -- Bigger Triangle

\triangle CBD -- Smaller Triangle

k = \frac{4}{3} --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

A_1 = \frac{1}{2}bh

\frac{1}{2}bh = 9

The area of CAE is:

A_2 = \frac{1}{2}BH

Where:

B = \frac{4}{3}b and

H = \frac{4}{3}h

The above values is the dimension of the larger triangle (after dilation).

So, we have:

A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h

A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h

A_2 = \frac{1}{2}*\frac{16}{9}  *b* h

Re-order

A_2 = \frac{16}{9}*\frac{1}{2}* b* h

A_2 = \frac{16}{9}*\frac{1}{2}bh

Recall that:

\frac{1}{2}bh = 9

A_2 = \frac{16}{9}*9

A_2 = 16

Hence, the area is 16 cm^2

3 0
3 years ago
What’s the answers for a and b
umka2103 [35]
A: 540 steps in one

B: 111 bc it’s different two
4 0
3 years ago
Mr. Jones wants to buy 6 tickets to a play. Each ticket costs $10. Mr. Jones has $45 in his pocket.
lawyer [7]

Answer:

He needs $15 more

Step-by-step explanation:

since each ticket costs $10 dollars, and there is 6 tickets, we need to multiply 10 x 6 to get the total cost of all tickets

10 x 6 = $60

To find how much more money he needs to buy all tickets, we need to subtract $45 from the total cost of tickets, which is $60

$60 - $45 = $15

Hope you understand this explanation!

8 0
3 years ago
Could someone please help me with these systems. I have to use substitution.
FromTheMoon [43]
Isolate one term (x or y) in one of the equations

6x+6y=0
6x=-6y
X= -1y

Substitute x=-y into the other equation

-7(-y) + 2y =18

7y + 2y =18

9y=18

Y=2

Substitute y=2 into 6x+6y=0

6x + 6(2) = 0

6x + 12=0

6x= -12

X = -2
8 0
3 years ago
A politician running for mayor in her city wants to know her chances of winning an upcoming
STatiana [176]

Answer:

Ask people who live in different neighborhoods throughout the city.Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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