Answer:
what is this
Step-by-step explanation:
Answer:
<h2><em>
2(3s-14)</em></h2>
Step-by-step explanation:
Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;
∠ABF = ∠ABE + ∠EBF
Substituting the given angles into the equation to get the unknown;
8s-6 = 2(s + 11)+ ∠EBF
open the parenthesis
8s-6 = 2s + 22+ ∠EBF
∠EBF = 8s-6-2s-22
collect the like terms
∠EBF = 8s-2s-22-6
∠EBF = 6s-28
factor out the common multiple
∠EBF = 2(3s-14)
<em></em>
<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>
Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
