Answer:
Area = 49 ft²
Step-by-step explanation:
The formula for area of a parallelogram is A = bh, where b is the base, and h is the height. Here, the base is given and the height is 4 times the length of the base
Here b = 3 1/2, and h = 4(3 1/2) = 14
3 1/2 becomes 7/2 as an improper fraction, 4(7/2) = 28/2 = 14
So the area is
A = 14(3 1/2)
A = 14(7/2)
A = 98/2
A = 49 ft²
2(x-4) greater than or equal to 29
Answer:
-3x= 2×2-4
Step-by-step explanation:
-3x= 4-4
-3x= 0
divide both sides by the co-efficient of x
-3x/-3= 0÷-3
x = 0
Answer:
45 km
Step-by-step explanation:
Let's review the scale factor of this problem.
1 cm = 10 km
This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.
Ex. 40 km in real world = 4 cm on map
So, we will use d to represent the actual distance.
d=distance in real world
Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.
d/10 = 4.5
Now to solve this equation, we just have to multiply both sides by 10.
d=45
This is your answer.
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.
So you can use proportions here.
AB / AC = AD / AE
AB = AD + DB = 6 + 1 = 7
AC = AE + 3
AD = 6
So plug in these values:
AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE
Now do the cross multiply:
7 AE = 6 (AE + 3)
Now solve for AE:
7AE = 6AE + 18
AE = 18
