Answer:
The the length of the rectangular prism is 6.64 mm
Step-by-step explanation:
knowing the surface area of the rectangular prism is the sum up of all areas of the prisma we have
(20 * 5.9)*2 + (20*X)*2 + (5.9*X)*2 = 733.28
236 + 40X + 34.81X = 733.28
X = 6.64 mm
Answer:
Frog 1 - 8 feet 3 inches =
8 feet x (1 yard/3 feet) = 2.667 Yards
3 inches x (1 foot /12 inches) x ( 1 yard / 3 feet) = 0.83 yards
So Frog 1 = 2.75 Yard
Frog 2 - 2 yards 36 inches
36 inches x (1 foot /12 inches) x (1 yard / 3 feet) = 1 Yard
So Frog 2 = 3 yards
Frog 2 won
It won by 3 - 2.75 = 0.25 Yards
0.25 yards x (3 feet / 1 yard) = 0.75 feet
0.75 feet x (12 inches /1 foot) = 9 inches
<u>So Frog 2 won by 9 inches</u>
Answer:
The 10% condition would not apply here
Explanation:
The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.
Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.
Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
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* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Answer:
Step-by-step explanation:
Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) 
.
We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63
b = ±√(a² - c²)
= ±√(91² - 63²)
= ±√(8281 - 3969)
= ±√4312
= ±14√22
So the equation is
