<u>Define x:</u>
Let the first number be x.
1st number = x
2nd number = x + 1
3rd number = x + 2
<u>Construct equation:</u>
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)
Answer: 3x + 3 = 4(x + 1)
Consider the number 480 in expanded form:
... 480 = 4×100 + 8×10
The left-most digit and multiplier are those that correspond to the ones you use in scientific notation.. You recall that 100 = 10×10 = 10². All this means is that
... 480 = 4.8×10²
Answer:
1) 39.5 ft^2
1) 139.15m^2
Step-by-step explanation:
2) area of a rectangle formula : LW
Area of a triangle:(bh)/2
Area of a semi circle:( Pi*r^2)/2
Area of a square: S^2
Area of figure one:
Lw+(b1*h1)/2+(b2*h2)/2
8*4+(2*3)/2+(3*3)/2
32+3+4.5=39.5
Area of fig 2:
S^2+(pi*r^2)/2
10^2+(3.14*5^2)/2
100+78.5/2
100+39.25=139.25
Answer:
<h3>AB ≈ 70m</h3>
Step-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
Answer:
9(t+5)<6
t<-13/3
Step-by-step explanation:
The expression is 9(t+5)<6
Distributing the 9, we get
9t+45<6
9t<-39
t<-13/3
