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alex41 [277]
3 years ago
5

A forest covers 66,000 acres. A survey finds that 0.8% of the forested old-growth trees. How many acres of old-growth trees are

there?
Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

528

Step-by-step explanation:

Find 0.8% of 66,000

Do this through the proportional method.

x = unknown value

0.8% / 100

=

x / 66,000

Cross multiply

66,000 x 0.8

52,800

Now, since a percent is always over a 100, divide it by 100.

52,800/100

528

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You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?
ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of \frac{200}{3} meters.

Now, the area of an equilateral triangle with sides a units is given by \frac{\sqrt{3}}{4} a^{2} sq. units.

So, the area of the above equilateral triangle will be = \frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5 sq. meters. (Answer)

7 0
4 years ago
a hawk soars at an altitude of 1,800ft. if the awk descends to the ground in 45 min, what is its vertical speed?
Verizon [17]
Does it come with any anwsers
4 0
3 years ago
A ball is dropped from a height if 30 feet the ball bounces after each bounce the height attained by the ball is 60% of the prev
Oliga [24]
This information will be modeled using the formula
thus we shall have:
Sn=ar^n
where:
a=first term
r=common ratio
from the information:
a=30 ft
r=60/100=3/5=0.6
therefore the formula will be
Sn=30(0.6)^n
where n is the number of terms:
thus when n=5 th sum will be:
S5=30(0.6)^5
S5=30(0.6)^5
S5=2.33 ft
Answer: 2.33 ft
6 0
4 years ago
Help...................
qaws [65]
I Dont know the answer
7 0
3 years ago
Use the elimination method to find all solutions of the system:
weqwewe [10]

Answer:

x = 3    and    y = 4

Step-by-step explanation:

Given

[Correct Question]

x^2 - 2y = 1

x^2 + 5y = 29

Required

Solve using elimination

First, we eliminate x.

Subtract equation (1) from (2)

x^2 - x^2 + 5y - (-2y) = 29 - 1\\

5y - (-2y) = 28

5y +2y = 28

7y = 28

Divide through ny 7

y = 4

Take x^2 - 2y = 1

Make x^2 the subject

x^2 = 1 + 2y

Substitute 4 for y

x^2 = 1 + 2*4

x^2 = 1 + 8

x^2 = 9

Take square roots

x = \sqrt 9

x = 3

7 0
3 years ago
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