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3 years ago

Please help I'm bad a fractions...

Mathematics

2 answers:

Alex17521 [72]3 years ago

8 0

Answer:

35/8

Step-by-step explanation:

First, we solve the whole number parts; 3 + 1 = 4.

Then the fractions finding the LCD of 1/8 and 1/4 which is 8.

1/8 + 2/3 = 3/8

Then we get 4 3/8.

Now we simplify it;

Multiply the denominator by the whole number. 8 * 4 = 32.

Add the answer, 32, to the numerator (3), which gives us 35.

We get 35/8.

nikitadnepr [17]3 years ago

6 0

4 3/8 i hope this helps u out

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A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?

Leno4ka [110]

Answer:

Step-by-step explanation:

The area for a parallelogram is given by the following formula:

$A=bh$

Where b is the base and h is the height.

We already know the area is 28 and the height is 4. So, substitute:

$28=4b$

Divide both sides by 4:

$b=7$

So, the base length is 7.

Our answer is 7 :)

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4 years ago

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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).