Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Answer:
m = 8
Step-by-step explanation:
-2(5 + 6m) + 16 = -90
Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.
-10 - 12m + 16 = -90
Simplify the left side of the equation by combining like terms.
6 - 12m = -90
Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.
-12m = -96
Divide both sides of the equation by -12 to isolate and solve for m.
m = 8
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
Answer:
Length of longer length=132 inches
Length of shorter length=33 inches
Step-by-step explanation:
Step 1: Determine total length of pipe
Total length of pipe=165 inches
Step 2: Derive expression for all the lengths
We can express all these lengths as follows;
L=l1+l2
where;
L=total length
l1=length of longer piece
l2=length of shorter piece
but;
length of longer piece=4×length of shorter piece
replacing;
l1=4l2
replacing;
L=165
l1=4×l2
165=l 2+4 l2
5 l2=165
l2=165/5
l2=33 inches
l1=length of longer length=33×4=132 inches
l2=length of shorter length=33 inches
- 16:10
- 24:15
- 40:25
8:5 is just a simplier version of these other ratios
