Betsy is buying topsoil for the flower bed shown below.
1 answer:
Answer:
<u>The correct answer is B. 3 bags</u>
Correct statement, question and image:
Betsy is buying topsoil for the flower bed shown below (image attached)
One bag of topsoil covers 20 square meters.
How many bags of topsoil does Betsy need to cover her flower bed?
A 2 bags
B 3 bags
C 4 bags
D 5 bags
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's find the area of the triangle:
Area = (Base * Height)/2
Area = (20 * 6)/2
Area of the flower bed = 60 m²
2. Now, let's calculate the number of bags of topsoil Betsy needs to cover her flower bed:
Number of bags = Area of the flower bed/Area covered by a bag of topsoil
Number of bags = 60/20
Number of bags = 3
<u>The correct answer is B. 3 bags</u>
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<em>Options:</em>
<em>Rotation of 180° about point B </em>
<em>Rotation of 90° about point b </em>
<em>Reflection over the x-axis </em>
<em>Translation down 2 units</em>
<em></em>
Answer:
Rotation of 180° about point B
<em></em>
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e.
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
Where
--- origin
becomes
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
Taking the slope of B'
The slope of B is:
Where
--- origin
becomes
Notice that the slope of B and B' is the same;
<em>Hence:</em>
<em>Rotation of 180° about point B answers the question</em>
<em></em>
<em>There's no need to check for other options</em>