Answer:
There are 232 students at the school.
Step-by-step explanation:
Let s represent the number of students at the school. We are told ...
174 = 75% × s
174/0.75 = s = 232 . . . . . divide by the coefficient of s
There are 232 students at the school.
Answer:
The length of each side is 26.3 cm
Step-by-step explanation:
Opposite sides of an isoceles triangle are equal
The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio
When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio
Let the length of the hypotenuse side be y
9/y = sin 20°
y = 9/0.3420 = 26.3
Length of each side is 26.3 cm
Answer:
C
Step-by-step explanation:
The length of arc AC (L) is calculated as
L = circumference of circle × fraction of circle
= 2πr × 
= 2π × 12 × 
= 2π × 5
= 10π ≈ 31.42 → C
Answer:
the coordinates of the point would be (-2.5,3)
Step-by-step explanation:
We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)
<span>On every type of factoring problem ALWAYS look first for a GCF, a greatest common factor. </span>
