Let x be the number of seventh grade students.
The 20% of the seventh grade students have math class in the morning means mathematically is 20/100.
The 16 2/23% of those students also have science class in the morning means:
16 2/3 & 20/100 = also have class in the morning
83 1/3 * 20/100 = math in the morning but not in science in the morning
30 students have math in the morning but not science in the morning
83 1/3% * 20/100% * x = 30
250/3 * 20/100x = 30
x = 180
There are 180 seventh graders.
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Answer:
intrest rate
Step-by-step explanation:
there ar other this to like your home insurasuranse or your property taxes in crease or decrease your mortgage does opposite
Answer:
x = 98 mm
Step-by-step explanation:
The angle bisector YT divides the triangle into proportional segments:
VY/VT = KY/KT
Filling in the numbers and multiplying by VT, we have ...
VY/57 = 68/129.2
VY = 57·68/129.2 = 30
Then we can find x from ...
x = VY + YK = 30 +68 = 98 . . . mm
The value of x is 98 mm.
