Answer:6
Step-by-step explanation:
Step-by-step explanation:
BDC and ACD are complementary with each other. that means together they cover the full 180 degrees of the half circle that can be drawn on one side of a flat line.
180 = 11x + 25 + 4x + 5 = 15x + 30
150 = 15x
x = 10
BDC = 11x + 25 = 11×10 + 25 = 110 + 25 = 135 degrees
ACD = 4x + 5 = 4×10 + 5 = 40 + 5 = 45 degrees
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:
x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
csc(2x) = csc(x)/(2cos(x))
1/(sin(2x)) = csc(x)/(2cos(x))
1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))
(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)/(2*cos(x)) = csc(x)/(2cos(x))
The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.
We need to find 19% of 205.
To compute any percentage, you divide by 100 and then multiply by the percentage you want:
So, there are 39 students in fifth grade (we obvisouly had to round, since there can't be a fractional number of students)