Answer:
73.4 cm^2
Step-by-step explanation:
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
Mark brainliest pls
Answer:
Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average
Step-by-step explanation:
Given the following;
#We set our hypothesis as:
The rejection region of either hypothesis:
, we determine the critical values for this probability in the T distribution table;
=>We reject for all values greater than 1.833, t>1.833.
#We now determine the value of the test statistic as:
We find that:
Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° = 
, sin30° = 
, then
cos30° = 
= 
= ( cross- multiply )
2x = 20
× = 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
2006 x 5.75 = 11534.5 .....
