Answer:
Answer is 9
Step-by-step explanation:
Remember PEMDAS???
"parenthesis, exponents, multiplication, division, addition, subtraction"
you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer: 
Step-by-step explanation:
The given equation : 
Using logarithmic property : 
The given equation will be equivalent to 
Subtract 7 from both sides , we get
Divide both sides by 3 , we get
Hence, the solution is
Step-by-step explanation:
ax2 + bx + c = 0
x12 = (-b ± √D) / 2a , D = b2 - 4ac .
5x2 + 7x + 3 = 0
a = 5 , b = 7 , c = 3
D = 49 - 60 = - 11 , x1 = (-7 - i √11) / 10
x2 = (-7 + i √11) / 10
Assume that the length of the rectangle is "l" and that the width is "w".
We are given that:
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II
Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15
Substitute with w in equation I to get the length as follows:
l = 2w + 1
l = 2(15) + 1
l = 30 + 1 = 31
Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
