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Genrish500 [490]
2 years ago
9

A dilation with a scale factor of 1/2 is applied to the three sides of Triangle ABC to create Triangle A'B'C'. The side lengths

of Triangle ABC are: A = 4ft, B = 3ft, C = 5ft. What are the lengths of the sides on the new Triangle A'B'C'? Question 8 options:
A. A' = 8ft, B' = 6ft, C' = 10ft
B. A' = 2ft, B' = 1.5ft, C' = 2.5ft
C. A' = 3.5ft, B' = 2.5ft, C' = 4.5ft
D. A' = 4.5ft, B' = 3.5ft, C' = 5.5ft
Please Help...Thank uu
Mathematics
1 answer:
Basile [38]2 years ago
6 0

Answer:
its B.

Step-by-step explanation: just take half off the numbers, and then you have your answer. simple.

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A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
3 years ago
Solve the equation <br> M-4=2m
NemiM [27]

Answer:

m=-4

m-4=2m

m-2m=4 combine like terms

-m=4 change the signs on both sides of the equation

m=-4

4 0
3 years ago
17 subtracted from x is at lest 19
o-na [289]
17 subtracted from x is:
x-17

x-17 is AT LEAST 19, meaning your inequality sign is going to be a greater than or equal to sign, since it says AT LEAST.

Your expression will be:
x-17≥19
7 0
3 years ago
Amanda is planning a picnic and figures that 6 pounds of meat will serve 9 people. At the same rate, how many pounds of meat wil
attashe74 [19]

Answer:

72 pounds

Step-by-step explanation:

If 6 pounds of meat serves 9 people, divide 6/9. This equals 0.666... aka 2/3. This decimal refers to how much of the meat each person gets. Multiply this decimal by 108 people. You get 72 pounds of meat.

5 0
3 years ago
Round 7.255 to the nearest whole number
Nat2105 [25]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 7.255 to the nearest whole number is 7.

The numbers to the right of the decimal point are less than 500 so we round down. If the numbers were above 500, we would round up.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
Read 2 more answers
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