Answer:
(x-7)(x+2/3)
Step-by-step explanation:
To easily find an equation with said roots, use the intercept form:
y=a(x-p)(x-q), where p and q are your roots.
y=(x-7)(x-(-2/3) = y=(x-7)(x+2/3)
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
Answer: 36 students
Step-by-step explanation:
Percentage of 3rd grade students chose math as their favorite subject = 30%
Total number of 3rd graders = 120
The number of 3rd graders who choose maths as their favorite subject will be:
= 30% × 120
= 30/100 × 120
= 0.3 × 120
= 36 students
