Answer:
-1/6(-a+1)
Step-by-step explanation:
1. Factor out -1/6 from the expression: -1/6(4a-5a+1)
2. Collect the terms: -1/6(-a+1)
Final Answer: -1/6(-a+1)
Answer:
2 groups of 30
Step-by-step explanation:
If you add together the two classes, you get 60 students. because you want to find the largest possible equal groups, with no students left over, you can divide all the students (60) by two, and you get 30 students in two groups.
Answer: x = 4
Step-by-step explanation: 4x^2−32x+64=0
4(x−4)(x−4)=0
x−4=0 x−4=0
x=4
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2