Answer: 128.67 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression from the top of Nisha's window to the bottom of the sculpture ,the opposite side is the height Nisha's window from the ground (60), and the adjacent side is the distance between the building and the sculpture (x).
Replacing with the values given:
Tan 25 = 60/x
Solving for x
x =60 / tan 25
x = 128.67 feet.
Feel free to ask for more if needed or if you did not understand something.
We can factorise this expression by grouping. First let us arrange it in this way
Let us bracket them like this:
In the first bracket portion, take x as common and in the second expression, take 2 as common.
<u>Answer</u><u>:</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
101 meters
Step-by-step explanation:
The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.
leg 1 = 99 m
leg 2 = 20 m
hypotenuse = ?
We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
99^2 + 20^2 = c^2
9801 + 400 = c^2
c^2 = 10201
c = sqrt(10201) = 101
Answer: 101 meters
Answer:
is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
<em>Find the surface area</em>
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
