Answer:
C
Step-by-step explanation:
5 1/2 pages in 12 minutes
There are 5 sets of 12 minutes in 1 hour
5 1/2 x 5 = 27 1/2
Therefore she would read 27 1/2 pages in 1 hour
Thats essentially how i did it - sorry if its not a very good explanation.
Answer:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Step-by-step explanation:
We have a rectangular base, that its twice as long as it is wide.
It must hold 12 yd^3 of debris.
We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).
The surface is equal to:

The volume restriction is:

If we replace h in the surface equation, we have:

To optimize, we derive and equal to zero:
![dS/dw=36(-1)w^{-2} + 8w=0\\\\36w^{-2}=8w\\\\w^3=36/8=4.5\\\\w=\sqrt[3]{4.5} =1.65](https://tex.z-dn.net/?f=dS%2Fdw%3D36%28-1%29w%5E%7B-2%7D%20%2B%208w%3D0%5C%5C%5C%5C36w%5E%7B-2%7D%3D8w%5C%5C%5C%5Cw%5E3%3D36%2F8%3D4.5%5C%5C%5C%5Cw%3D%5Csqrt%5B3%5D%7B4.5%7D%20%3D1.65)
Then, the height h is:

The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Step-by-step explanation:
A leap year occurs every 4th year.
So, 1875 - 1700 = 175
Now let us divide 175 by 4

So, 43 leap years occur between the years 1700 and 1875.
For this case, the first thing we must do is define variables.
We have then:
m: original quantity of merchandise sold (in $)
We then have the following idea:
(original amount) (percent) = new amount
The new amount is the amount that Jacqueline earns for 12% of the commission on sales.
We have then:

Clearing m we have:

Answer:
The equation that solves the problem is:

The amount she sold is:

Answer:
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
a. because angle between tangent and chord is equal to the angle(s) in alternate segment.
b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚
c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚
d. 28*2=56˚ because angles at circumference are half angles at centre