Answer:
Using the charasteristics of a parallelogram, the length of line segment MX is 8 in (Third option).
Step-by-step explanation:
In parallelogram WXYZ:
WY=12 in., this is a diagonal in the parallelogram
XZ=16 in., this is the other diagonal in the parallelogram
WX=10 in., this is one of the sides of the parallelogram
XY=9 in., this is the other side of the parallelogram
MX=? this segment is between the vertex X and the point of intersection of the diagonals
In a parallelogram the diagonals intersect (point M) dividing them in equal parts each other, then:
MX=MZ=XZ/2
MX=MZ=(16 in.)/2
MX=MZ=8 in.
This problem can be directly solved by using a conversion
factor. Simple research will tell us that 1 gallon contains about 3.78 Liter.
Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
<span>volume = 283.5 Liters</span>
9514 1404 393
Answer:
30
Step-by-step explanation:
We note that 6 animals in 12 minutes is half as many animals as minutes. So, in 60 minutes, Naomi can make 30 balloon animals.
You will need 3.333.... cups of rice to make 10 servings of casserole.
<u><em>Explanation</em></u>
The recipe which makes 6 servings of casserole, needs 2 cups of rice.
Suppose, you need 
cups of rice for making 10 servings of casserole.
Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....
So, you will need 3.333.... cups of rice to make 10 servings of casserole.
Find the water volume of the pool. The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.
Now convert this 676 cu. ft. to gallons:
Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):
676*pi cu ft 7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
1 1 cu ft
The cost of filling the pool will be
5056.48*pi gallons $3
--------------------------- * ------------- = $48 (to the nearest dollar)
1 1000 gal
