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Law Incorporation [45]
3 years ago
15

The sum of triple z and half of x

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

3z+ 1/2 x

Step-by-step explanation:

This is an expression not an equation.

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A church window consisting of a rectangle topped by a semicircle is to have perimeter p . find the radius of the semicircle if t
Y_Kistochka [10]

Answer:

r=\dfrac{p}{4+\pi}

Step-by-step explanation:

Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

p=2y+2r+\pi r.

Express y:

y=\dfrac{p-2r-\pi r}{2}.

The area of the window is

A=y\cdot 2r+\dfrac{1}{2}\pi r^2.

Substitute y into the area expression:

A=\dfrac{p-2r-\pi r}{2}\cdot 2r+\dfrac{1}{2}\pi r^2=pr-2r^2-\pi r^2+\dfrac{1}{2}\pi r^2=pr-2r^2-\dfrac{1}{2}\pi r^2.

Find the derivative A':

A'=p-4r-\pi r.

Equate A' to 0:

p-4r-\pi r=0\Rightarrow r=\dfrac{p}{4+\pi}.

When r then A'>0 and the function A is increasing, when r>\dfrac{p}{4+\pi}, then A' and the function A is decreasing. This means that at point r=\dfrac{p}{4+\pi} the function A takes it maximal value (the area is maximal).

7 0
3 years ago
Shelby’s recipe says to add 3/4 cup of brown sugar and 1/8 cup of white sugar how much sugar recipe call for altogether
Ipatiy [6.2K]

Answer:you need common denominatord 4*2=8 3*2=6 6/8+1/8=7/8 of sugar

Step-by-step explanation:

3 0
3 years ago
2y/5y cube + 4y square + 6y
timama [110]

Answer:

here down is the answer

(2y/5y)^3+4y^2+6y

8y^3/125y^3 +16y^2+6y

8/125+16y^2+6y

8/125+16y^2+6y=0

16y^2+6y+8/125=0

it is in the form of quadratic equation

formula :

x=(-b+-square root of b^2-4ac) /2a

here a=16,b=6&c=8/125

x=(-b+-square root of b^2-4ac)/2a

x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation

x=(-6+-31.91)/2

so

x=(-6+31.91)/2 first (+);

x=25.91/2

x=12.955;

x=(-6-31.91)/2 then(-);

x=-37.91/2

x=-18.955 ;

ans is = 12.955&-18.955;

6 0
3 years ago
You can buy 5 oranges for $2.50. What is the unit rate for 1 orange? How much would 8 oranges cost?
lions [1.4K]

Answer:

Step-by-step explanation:

You have to divide 5 by 2 to find the unit rate.

5/2= 2.5

Hope this helps.

5 0
3 years ago
Use the distributive property to remove the parentheses.Simplify your answer as much as possible.
Snezhnost [94]

Answer:6/5+6x

Step-by-step explanation:multiply 3 by 2/5 and 15x by 2/5

3 0
4 years ago
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