Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
Answer: she scored 69 points on the second test.
Step-by-step explanation:
Let x represent the number of points that she scored in the first test.
Let y represent the number of points that she scored in the second test.
If her mean score was 75, it means that
(x + y)/2 = 75
x + y = 75 × 2
x + y = 150- - - - - - - - - 1
If she scored 12 points more on the first test than the second test, it means that
x = y + 12
Substituting x = y + 12 into equation 1, it becomes
y + 12 + y = 150
2y + 12 = 150
2y = 150 - 12
2y = 138
y = 138/2
y = 69
Answer:
Lillian worked 7h and Jacob worked 6h
Step-by-step explanation:
the number of hours Lillian worked are x (h)
the number of hours Jacob worked are y (h)
(0 < x,y < 13)
=> Lilian ironed: 25x (shirts)
Jacob ỉroned: 20y (shirts)
because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:
so Lillian worked 7h and Jacob worked 6h
She made 6 patches of cookies because if she uses 1/8 per batch and 3/4 x2 equals 6/8 , she made 6 batches.
Answer:
488
Step-by-step explanation:
Area of rectangle: 17 x 22 = 374
Area of triangle: 22 - 10 = 12
0.5(12 x 19) = 114
Add them together: 374 + 114 = 488
