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2 years ago

13

Please answer need now!!

1 answer:

zvonat [6]2 years ago

5 0

Answer:

1. Too low

2. Too low

3. Too high

4. Too Low

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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

A. Change the following fractions to mixed numbers.

qaws [65]

Answer:

A )

1 - $1\frac{4}{7}$

2 - $5\frac{3}{5}$

3 - $3\frac{1}{5}$

4 - $4\frac{1}{4}$

5 - $6\frac{3}{4}$

B )

1 - $\frac{1}{4}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{4}{25}$

5 - $\frac{5}{8}$

C )

1 - 1

2 - $\frac{3}{4}$

3 - 1

4 - $\frac{3}{4}$

5 - $\frac{7}{9}$

D )

1 - $\frac{5}{12}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{1}{2}$

5 - $\frac{5}{12}$

6 0

3 years ago

Help? Please?<br><br> Round the number to the thousandths place "79337.945573"

Ivan

$\approx79337.946$

7 0

3 years ago

Which answer matches this description?

lara31 [8.8K]

None of these really fit….. it would be
45/(6+3)
But none of your answers match so I’m not sure,,,,, sorry

5 0

3 years ago

Which is the equation of a line that passes through the point (3.-4

gtnhenbr [62]

Answer:B

Step-by-step explanation:

A. y = 2x-11

B. y = 2x-10

c. y = 2x-4

D. y=2x-2

Recall, the slope intercept equation

y= mx+c

Assuming c is held constant in each scenario

Looking at A

m = 2, c = -11

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c =-10

-10 does not correspond to -11 given

Let's try B

m= 2, c = -10

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

This intercept correspond with the intercept in B which is -10

Let's look at C

m= 2, c = -4

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

-10 does not correspond to -4 given

Let's try D

m= 2, c = -2

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

-10 does not correspond to -2 given

7 0

3 years ago