Answer:
The total number of boys = 105
Step-by-step explanation:
The ratio of boys to girls = 3: 4
⇒ For every 3 boys, there are 4 girls.
Now, total number of students = 245
Let the common ratio of boys to girls is k.
So, 3k + 4k = 245
or , 7k = 245
⇒ k = 245/7 = 35
⇒ k = 35
Hence, the number of boys = 3k = 3 x 35 = 105
and number of girls = 4k = 4 x 35 = 140
To find diagonal we need to look at the right triangle with legs 29 m and 16 m, a hypotenuse of this triangle is a diagonal of the rectangle.
c² =29² + 16²= 1097 m²
c=√(1097) ≈ 33 m
Answer: 33 m.
Answer:
36
Step-by-step explanation:
the nearest tenth of semi circle is 36
Answer:
We start at:
|X+6|- 12 < 13
Here we can add 12 to both sides:
|X+6| <13 + 12 = 25
|X+6| < 25
We can separate it in two equations:
if x > -6, then |X+6| = x + 6
(x + 6) < 25
x < 25 - 6
x < 19
if x < -6, then |X+6| = -(x + 6)
-(x + 6) < 25
-x < 31
x > -31
And with those two equations we get:
-31 < x < 19
Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. When the slopes are multiplied like 3 and -1/3 is -1.
This means the line y = -6x + 7 which has slope -6 will have a perpendicular line that has slope 1/6.
Any equation which has slope 1/6 is a solution.
Example 1/6x - 1 or 1/6x + 7 or etc.