A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,
2 answers:
Answer: 3.5
Step-by-step explanation:
Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.
Scale factor =
Since, smaller figure is the original figure and the bigger one is the image.
So, scale factor = [Taking lengths
Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5
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Answer:
The only correct options are A, B and E.
Step-by-step explanation:
He buys pounds of flour, 12 ounces of coconut, and
pounds of sugar.
We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:
1 ounce = 0.0625 pounds
12 ounces = 12 * 0.0625 = pounds
He buys pounds of coconut.
Adding all of them together yields:
+
+
=
pounds
Let us also convert to ounces:
/ 0.0625 = 56 ounces
Let us also convert 1/2 pound to ounces:
1/2 / 0.0625 = 8 ounces
Hence, the total weight of ingredients that Dwayne bought is pounds or 56 ounces or 3 pounds 8 ounces
Hence, options A, B and E are correct.
To solve this we are going to use the formula fro the force applied to a spring: 
where
is the spring constant
is the extension
Since we know the
, we can replace that in our formula and solve for 
:
where
is the acceleration
is the spring constant
is the extension
is the mass
We know for our problem that
, 
, and 
. So lets replace those values in our formula to find :
We can conclude that the acceleration of the block when s=0.4m is
.
where
Since we know the
where
We know for our problem that
We can conclude that the acceleration of the block when s=0.4m is