9514 1404 393
Answer:
(a) exactly two unique triangles
Step-by-step explanation:
The third angle is ...
180° -50° -80° = 50°
Two of the angles are the same, so two of the sides are the same length. The given side measure can be either one of the two unique side lengths, giving rise to exactly two unique triangles.
Answer:
171 Square Feet
Step-by-step explanation:
We first cut the figure up into smaller parts...
we then use the formula (L x W = A) to find the area
L = Lenth
W = Width
the first rectangle (1)...
15 x 5 = 75
the second figure (2)...
8 x 9 = 72
the third figure (3)...
6 x 4 = 24
now we have to add up all the values to find the area of the entire figure...
75 + 72 + 24 = 171
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You just need to equate the expressions to find the values for a,b and c. First, let's settle that 2^5/4=8, and 8 is 2^3. Also, an important tool here is the indicie rule:

1st expression: 2^5/4=8
2nd expression: It tells us that 2^5/2^a=2^3 (I know that this equals to 8 as all the expressions are equal therefore is the same as our first expression). Using the indicie law, this means that a=2
3rd expression: 2^b must equal to 8 as well, so b=3
4th expression: c=8 as all of the other expressions we have figured out equal to 8
So a=2, b=3 and c=8
Answer:
1) 5
2) 0.2
Step-by-step explanation:
The complete question is attached below.
The x-axis represents the time in hours and y-axis represents the distance in kilometers.
The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.
The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:
Kendrick walks 5 kilometers in 1 hour.
In next part, we have to find how much time Kendrick takes to walk 1 kilometer.
Since, we know that:
Kendrick walks 5 kilometers in time = 1 hour
Dividing both sides by 5, we can write:
Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour
So, Kendrick takes 0.2 hours to walk 1 kilometer.