Answer:
#1
<u>Area of triangle backdrop:</u>
- A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²
<u>Area of the cloth:</u>
<u>Uncovered area:</u>
Choice A
#2
<u>Area of the cut piece:</u>
- A = πr² = 3.14*7.6² = 181.37 cm²
<u>Area of the square piece:</u>
<u>Remaining piece is:</u>
- 1156 - 181.37 = 974.63 cm²
Choice B
NO.,the given measures can not be the lengths of the sides of a triangle
Step-by-step explanation
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
so, Find the range for the measure of the third side of a triangle given the measures of two sides.
here given measures are 2,2,6
2+2 = 4 which is less than the third side 6
= 4 < 6
This not at all a triangle.
Hence, the given measures can not be the lengths of the sides of a triangle
Answer:
61.0
Step-by-step explanation:
Formula for Circle
2πr
π = 3.14
r = Radius
Answer:
8022.
Step-by-step explanation:
Let x be the number of years after 2010.
We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.
We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.
Since we know that an exponential function is in form:
, where,
a = Initial value,
b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.
Let us convert our given decay rate in decimal form.

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:


Let us find x by subtracting 2010 from 2019.

Upon substituting x=9 in our function we will get,



Therefore, the population of fish in 2019 will be 8022.