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dsp73
4 years ago
15

Rectangle LMNO is similar to rectangle PQRS. What is the length of segment QP?

Mathematics
1 answer:
kherson [118]4 years ago
6 0
29.75/8.5=x/4.5
using the "butterfly method"
8.5x=133.875
 /8.5  /8.5
x=15.75

You have to make a proportion
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A farmer wants to make a rectangular field with a total area of 800m2. It is surrounded by a fence. It is divided into 3 equal a
Vlad1618 [11]
<span>This is a rectangular field, it will have four fence in one direction, and two in the other. The vertical lines here are the same length on each other, likewise of the horizontal line.We can calculate the length of the fence from them as: 4V + 2H= L we also have three area added together come to 800: 3VH = 800 so, lets re-arrange that second equation H=800/3V And sub into the first: 4V + 1600/3V = L Multiply through by 3V: 12V^2+1600= 3LV Rearrange 12V^2 - 3LV+ 1600= 0 we have quadratic, lets take a look at discriminant with this quadratic discriminant= b^2 - 4ac discriminant= 9L^2 - 4*12*1600 discriminant= 9L^2 - 76800 the dicriminant must be positive so the following must be true 9L^2>=76800 L^2>=8533.33 L>=92.376 so 92.36 is answer</span>
8 0
3 years ago
Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
Zinaida [17]

Answer:

Her investment will increase by <u>551.54</u> dollars

Step-by-step explanation:

So we know that the exponential function formula is f(x)=a(1+r)^x

So knowing that we can input values

So now we have f(x)=400(1+0.055)^6

Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6

So next we have to add 1 and 0.055 which is 1.055

So we input that into the equation so now we have f(x)=400(1.055/1)^6

Now we have to do (1.055/1) to the power of six, so we get 1.37884280676

Now we have to 1.37884280676 times 400,  which would be 551.537122705.

Assuming they want to the nearest 100th it would be 551.54

So the answer is <u>551.54 dollars</u>

Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)

5 0
3 years ago
A. Determine the value of each function
Ivenika [448]

Answer:

a= -5

b=5

c=6

substitue each value as x

6 0
3 years ago
What is the length of a rectangle with width 14in. and area 91in.²​?
sleet_krkn [62]

Answer:

91 divided by 14 = 6.5 is the length

Step-by-step explanation:

Whenever given an area and 1 given length always divide the area by the length to find the missing length.

7 0
3 years ago
NEED HELP PLEASE!!!!
luda_lava [24]
5 * 8.4 = 42
10^-15 * 10^8  = 10^-7

length  = 42 * 10^-7

in scientific notation this is  4.2 * 10^-6
7 0
3 years ago
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