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Morgarella [4.7K]
2 years ago
13

Find AC if EC = 9, ED = 12, and BD = 20. Round to the nearest tenth.

Mathematics
1 answer:
olga_2 [115]2 years ago
6 0

The value of AC = 23

According to the statement

Here we have given the values of tangent from the diagram

EC = 9, ED = 12, and BD = 20.

and we have to find the value of AC.

We know that the according to the given diagram the tangent

BE is always equal to the Tangent AE.

So, we generate a equation to find the AC then

BE = AE

Convert this into parts like

BD +DE = AC+CE

Substitute the values in it which are given in the statement

20+12 = AC + 9

32 = AC + 9

32 -9 = AC

AC = 23

So, The value of AC = 23

Learn more about TANGENT here brainly.com/question/17040970

#SPJ1

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Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.
N76 [4]

Answer:

trees cost $15

Shrub cost $7

Step-by-step explanation:

Given data

Rita paid $82 for 5 trees and 1 shrub

5x+y= 82---------1

Lilly bought 2 trees and 1 shrub for $37

2x+y= 37----------2

from 1

y= 82-5x

put the value of y in 2

2x+82-5x= 37

2x-5x= 37-82

-3x=-45

x= 45/3

x=$15

put the value of x in 1

5(x)+y= 82

5*15+y=82

75+y=82

y=82-75

y=$7

Hence, trees cost $15

Shrub cost $7

4 0
2 years ago
Solve 2x2 − 12x + 20 = 0. (5 points) 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i
Oksi-84 [34.3K]
The answer is 3+-i



I hope this helps!!!!!!!!
4 0
3 years ago
Read 2 more answers
On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two poi
wel

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d=\sqrt{(x2-x1) ²+(y2-y1) ²}

AB=\sqrt{(-8-7)²+(4-4)²}

AB=15 units

the distance between the two points is 15 units.

4 0
2 years ago
What is the difference in length between the longest and shortest pieces of ribbon?
jasenka [17]

Answer: B

Step-by-step explanation: have a great day pls brainliest

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let
Advocard [28]

Answer:

P(t)=3,000,000-3,000,000e^{0.0138t}

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The <em>integrating factor </em>is

e^{Kt}

Multiplying both sides of the equation by the integrating factor

e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K

Hence

(e^{Kt}P(t))'=3,000,000Ke^{Kt}

Integrating both sides

e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C

e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C

P(t)=3,000,000+Ce^{-Kt}

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^{0.0138t}

5 0
3 years ago
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