Answer:
15•4 mm
Step-by-step explanation:
using sine rule
a÷ sinA=c ÷sinC
15•4÷sin90=0•5÷sinC
sinC =0•5 × sin90 ÷ 15•4
C =1•9°
A+B+C= 180
90+B+1•9=180
B= 88•2°
b÷sinB = a÷sinA
b÷sin88•2= 15•4÷sin90
b=sin88•2 ×15•4 ÷sin90
b =15•39
to 1 dp
b =15•4 mm
Answer:
Step-by-step explanation:
Sum a with a-s ;b with b-s so:
0.75a + 10b + a – 2b=0.75a+a+10b-2b=1.75a+8b
Answer:
y= x+1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Gradient of line = 
Using the above formula,
Gradient
Thus m=1. Substitute m=1 into the equation:
y= 1x +c
y= x +c
Susbt. a coordinate.
When x=3, y=4,
4= 3 +c
c= 4-3
c=1
Thus, the equation of the line is y= x+1.
Answer:
The correct option is;
[2.5, ∞)
Step-by-step explanation:
The given exponential equation can be expressed as follows;
10,000 × 4ˣ ≥ 320,000
Therefore we have;
4ˣ ≥ 320,000/10,000
4ˣ ≥ 32
㏒(4ˣ) ≥ ㏒(32)
x·㏒4 ≥ ㏒(32)
x ≥ ㏒(32)/㏒4
∴ x ≥ 2.5
Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval [2.5, ∞)
Answer:
area of the figure=1/2×(10+6)×3
=24 square feet
