Answer:
The total number of badges miss Garcia can make=6
Step-by-step explanation:
Step 1: Express the total length of ribbon
Use the expression below;
R=B×N
where;
R=total length of ribbon Garcia has
B=length per badge
N=number of badges made
In our case;
R=3/4 yard
B=1/8 yard
N=n
replacing;
(3/4)=(1/8)×n
n=(3/4)×8
n=6
The total number of badges miss Garcia can make=6
Answer:
-4 x 3
4/12
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
<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>
Answer:
The answer is 4/3
Step-by-step explanation:
To get the answer, first give the two fractions common denominators.
1/2 + 5/6
3/6 + 5/6 = 8/6
Now simplify the fraction by division both numbers by 2
8/6 = 4/3