Answer:
i. 
ii. 
iii. 
iv. 
Step-by-step explanation:
Given
Time: 07 2(A) 5(B)
Calculating (a)
First, we need to list out the possible sample space, S of A


Probability of A being a 4 is the number of occurrence of 4 divided by the number of sample space


Hence;


Calculating (b)
First, we need to list out the possible sample space, S of B


Probability of B being a 8 is the number of occurrence of 8 divided by the number of sample space


Hence;


Calculating (c)
Using the sample space in (a)

Probability of A being less than 6 is the number of occurrence of less than 6 divided by the number of sample space


Hence;



Calculating (d)
Using the sample space in (b)

Probability of B being greater than 5 is the number of occurrence of greater than 5 divided by the number of sample space


Hence;



We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12
When we plug this into 2z+6 we get 30 for the height
2(12)+6=30
Hope this helps
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Step-by-step explanation:
a) f(4) = 7-2(4)
= -1
b) f(h) = 7-2(h)
= 7-2h
c) f(4) + f(h) = -1 +(7-2h)
= 6-2h
h = 3
d) f(3+h) = 7-2(3+h)
= 7-6-2h
= -1-2h
2h= -1
h = -1/2
p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.