Answer:
333.3 meters per minute
Step-by-step explanation:
<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>
= (20*1000*1)/(1*1*60) m/min
= 333.3 meters per minute
<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,

where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;



Thus, the volume of the triangular prism is 11.25 m³
The percentage of the area inside the square that is shaded is 55%.
<h3>What is the perimeter of the square?</h3>
Given:
The perimeter of the square is 20Cm
Each side of the square is = 5Cm
Area = ( Length x Width )
(5 x 5) = 25 =Area
Area = 25
Area of triangle 1 = (1/2) x 5 x (5 - 3) = 5 cm²
Area of triangle 2 = (1/2) x 5 x (5 - 3.5) = 6.25 cm²
Area of shaded portion = 25 - (5 + 6.25) = 13.75 cm²
Percentage of shade portion
= (13.75 cm² / 25 cm²) x 100%
= 55%
The percentage of the area inside the square that is shaded is 55%.
Learn more about area;
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Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
=
= .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.