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miv72 [106K]
3 years ago
6

Mary plans on stdying for 3 1/3 hours the 4 days before her test. lf she studies for the same amount of time each day, how much

time will she spend studying each day?
Mathematics
2 answers:
timama [110]3 years ago
8 0
4 days
donvert 3 and 1/3 to imporopoer
3 and 1/3=3+1/3=9/3+1/3=10/3

divide 10/3 by 4
remember that divide by 4 means multiply by 1/4
10/3 times 1/4=10/12=5/6

each day spends 5/6 hour (about 50 mins)
denpristay [2]3 years ago
5 0
First lets convert 3 1/3 into the improper fraction: 10/3

Then lets divide 10/3 by 4 which is equal to 10/3 * 1/4 
which is equal to 5/6 hours per day!
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9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.
kherson [118]

Answer:

a) (7,8)

b) r = 10

c) (x-7)^2+(y-8)^2=100

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as (x_m,y_m)

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)

(x_m, y_m) = (7,8)

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

in our case the equation changes to: (selecting the centre and point B)

r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}

r = \sqrt{(7-17)^2+(8-8)^2}

r = 10

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

  1. coordinates of the center: (x_m,y_m) = (7,8)
  2. radius of the circle: r = 10

we can put this in the formula of the circle:

(x-a)^2+(y-b)^2=r^2

in our case the equation changes to:

(x-x_m)^2+(y-y_m)^2=r^2

(x-7)^2+(y-8)^2=(10)^2

(x-7)^2+(y-8)^2=100

this is the equation of the circle!

6 0
3 years ago
Find the length of the arc.<br> A. 15π mi<br> B. 5400π mi<br> C. 135π mi<br> D. 125π16 mi
weqwewe [10]

Answer:

A. 15π mi

Step-by-step explanation:

First find the circumference

C = 2*pi*r

C = 2 * pi*18

C = 36pi

The arc is 150 degrees

The fraction of the circle is

150/360 = 5/12

Multiply this by the circumference

5/12 * 36 pi

15 pi

7 0
2 years ago
A virus is a<br> A) host. <br> B) producer. <br> C) consumer. <br> D) intracellular parasite.
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Answer:

A virus is a D) intracellular parasite.

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Answer:

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Step-by-step explanation:

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remember, 7 days each week, so this is a multiplication problem.

32*7=224 days

Done!

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