Answer:
4) 430.8 centimiters
Step-by-step explanation:
The length of side of garden are 76 feet and 49 feet
<em><u>Solution:</u></em>
Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram
Measure of one side = 76 feet
250 ft of fencing is needed to enclose the garden
Therefore, perimeter = 250
<em><u>The perimeter of parallelogram is given by:</u></em>
Perimeter = 2(a + b)
Where, a and b are the length of sides
Here, a = 76
b = ?
<em><u>Substituting in formula, we get</u></em>
250 = 2(76 + b)
250 = 152 + b
2b = 250 - 152
2b = 98
b = 49
Thus the length of side of garden is 49 feet
Answer:
Step-by-step explanation:
Believe it or not, the two areas are the same.
The base of the rectangle is PQ
The height of the rectangle is PS
Now look at the parallelogram.
The base is PQ
The height is PS
The area has to be the same in both cases. There is no other way to interpret what is happening.
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
solution:
we know that ,
u.v = ΙuΙ ΙvΙcosθ
here,
θ =60° (since the given triangle is equilateral triangle)
u.v = ΙuΙ ΙvΙcos60°
= 1 x 1 x 1/2
u.v = 1/2
now, u.w = ΙuΙ ΙwΙcosθ
= ΙuΙ x cos(60x2)
u.w = -1/2
