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frosja888 [35]
3 years ago
7

If triangle ABC ~ triangle DEC, find AC.

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0
Answer:
12.5 units

Explanation:
We are given that:
ΔABC ~ ΔDEC
This means that the similarity proportion can be set up as follows:
AB/DE = BC/EC / AC/DC

We have:
CD = 5 units
BC = 6 + 4 = 10 units
EC = 4 units

This means that:
BC/EC = AC/DC
10/4 = AC / 5

Therefore,
AC = (5*10) / (4) = 12.5 units

Hope this helps :)

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A solid sphere is cut into 4 equal wedges the volume of each wedge is v=1/3r3 solve the volume for r
Dennis_Churaev [7]

Answer:

r = (3V/π)^1/3

Step-by-step explanation:

Given that :

Volume of a sphere = V = 4/3πr³

Dividing into 4

4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³

V = 1/3πr³

Cross multiply

3V = πr³

Divide both sides by π

3V/ π = πr³/ π

3V/ π = r³

Take the cube root of both sides

r = (3V/π)^1/3

6 0
3 years ago
26 is whats percent of 40?
faltersainse [42]
100%/x%=40/26
<span>(100/x)*x=(40/26)*x       - W</span>e multiply both sides of the equation by x
<span>100=1.53846153846*x       - W</span>e divide both sides of the equation by (1.53846153846) to get x
<span>100/1.53846153846=x </span>
<span>65=x </span>
x=65

<span>Now we have: </span>
<span>26 is 65% of 40

Good luck~ Sans</span>
5 0
3 years ago
What is the equation of the line that has a slope of -4 and goes through (-1,6)? O A. y+ 6 = -4(x + 1) OB. y+6= -4(x - 1) OC. y-
Dennis_Churaev [7]

Answer:

hi I dont now is this will help you but use M A T H W A Y it will give you the step b step info and the answere

Hope it help

Step-by-step explanation:

4 0
3 years ago
The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=200−0.4x is
amid [387]

Answer:

maximum revenue is 25000

Step-by-step explanation:

The revenue function for a bicycle shop is given by R(x)=x⋅p(x)

Given p(x)= 200-0.4x

R(x)=x \cdot p(x)

Plug in p(x) in R(x)

R(x)=x \cdot 200-0.4x

R(x)=200x-0.4x^2

Now find out the vertex using formula x=-b/2a

a= -0.4, b=200

x=\frac{-b}{2a} =\frac{-200}{2(-.4)} =250

Plug in 250 for x  in R(x)

R(x)=200x-0.4x^2

R(x)=200(250)-0.4(250)^2=25000

So maximum revenue is 25000

6 0
3 years ago
What is the area of the shaded sector?
umka2103 [35]
40pie units squared / esa es
6 0
3 years ago
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