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4 years ago

What Is 9/25 as a decimal and as a percentage

Mathematics

2 answers:

Ulleksa [173]4 years ago

6 0

.36 or 36%

9/25=.36
.36x100=36%

Artyom0805 [142]4 years ago

5 0

0.36 is the decimal and 36% is the percentage.

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g A window is being built and the bottom is a rectangle and the top is a semi-circle. If there is 12 meters of framing materials

photoshop1234 [79]

Answer:

Semicircle of radius of 1.6803 meters

Rectangle of dimensions 3.3606m x 1.6803m

Step-by-step explanation:

Let the radius of the semicircle on the top=r

Let the height of the rectangle =h

Since the semicircle is on top of the window, the width of the rectangular portion =Diameter of the Semicircle =2r

The Perimeter of the Window

=Length of the three sides on the rectangular portion + circumference of the semicircle

$=h+h+2r+\pi r=2h+2r+\pi r=12$

The area of the window is what we want to maximize.

Area of the Window=Area of Rectangle+Area of Semicircle

$=2hr+\frac{\pi r^2}{2}$

We are trying to Maximize A subject to $2h+2r+\pi r=12$

$2h+2r+\pi r=12\\h=6-r-\frac{\pi r}{2}$

The first and second derivatives are,

Area, A(r) $=2r(6-r-\frac{\pi r}{2})+\frac{\pi r^2}{2}}=12r-2r^2-\frac{\pi r^2}{2}$

Taking the first and second derivatives

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)\\A''\left( r \right) = - 4 - \pi$

From the two derivatives above, we see that the only critical point of r

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)=0$

$r = \frac{{12}}{{4 + \pi }} = 1.6803$

Since the second derivative is a negative constant, the maximum area must occur at this point.

$h=6-1.6803-\frac{\pi X1.6803}{2}=1.6803$

So, for the maximum area the semicircle on top must have a radius of 1.6803 meters and the rectangle must have the dimensions 3.3606m x 1.6803m ( Recall, The other dimension of the window = 2r)

5 0

4 years ago

What are the intercepts of -3x + 5y - 2z =60

umka21 [38]

We know that

the x-intercept is when y=0 and z=0
-3x + 5y - 2z =60------------> -3x=60----------> x=-20
the point (-20,0,0)

the y-intercept is when x=0 and z=0
-3x + 5y - 2z =60------------> 5y=60----------> y=12
the point (0,12,0)

the z-intercept is when y=0 and x=0
-3x + 5y - 2z =60------------> -2z=60----------> z=-30
the point (0,0,-30)

the answer is
(-20,0,0)
(0,12,0)
(0,0,-30)

6 0

3 years ago

Help please do not understand

miskamm [114]

Multiply the 2 numbers, 2.5 and 3.9 and then you will get 9.75
Then add the 2 exponents, -15 and 26 and you will get 11

The answer is 9.75 x 10^11

4 0

4 years ago

I do not understand this question

kicyunya [14]

I think the answer will be certain

5 0

3 years ago

The integer to represent a withdrawal of $25 would be____. -25 +25

ruslelena [56]

Answer:

-25

Step-by-step explanation:

Withdrawal means to take out. So you're taking out $25 out of your account, therefore it would be a negative.

3 0

3 years ago