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Alexus [3.1K]
3 years ago
6

A rectangular field is eleven times as long as it is wide. If the perimeter of the field is 1560 feet, what are the dimensions o

f the field?
Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

The dimensions of the field are 65 feet and 715 feet

Step-by-step explanation:

Let the length be L and the width be W.

Given W = 11L

Perimeter of the rectangle = 2(L + W) = 1560 feet

2(L + 11L) = 1560

L = 65 feet

W = 715 feet

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Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.
Ivan
<h3>Given</h3>

... f(x) = x² -4x +1

<h3>Find</h3>

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

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8 0
3 years ago
A circle with radius 6 has a sector with a central angle of 48 what is the area of the sector
inn [45]

Answer:

≈ 15.08 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

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   = πr² × \frac{48}{360} ( r is the radius )

   = π × 6² × \frac{48}{360}

   = 36π ×\frac{48}{360} = π × \frac{48}{10} = \frac{48\pi }{10} ≈ 15.08

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3 years ago
Read 2 more answers
1. Which represents the type of sequence: -99, -96, -92, -87, -81, …?
Juli2301 [7.4K]
So here are the answers for the given questions above:
1. Based on the given values above, the correct answer would be option B. NEITHER ARITHMETIC NOR GEOMETRIC. Why? When we say arithmetic sequence, the values should have a common difference which remains constant all throughout the sequence, and this sequence does not qualify. On the other hand, a geometric sequence should have a common ratio, and these numbers do not have one.
2. The correct answer for this problem would be option C. <span>121,520.
Based on the given values above, the values have a common ratio of 1.1. So what we are going to do is just to multiply 1.1 each time and by 2016, we will get </span>121,520.
Hope these answers help.
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3 years ago
Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what di
Rashid [163]

Answer:  80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

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4 years ago
Write a Rule for a Composite Function
zysi [14]

Answer:

C

Step-by-step explanation:

Observing that <em>f</em> has to be placed inside <em>g</em>, we can easily substitute x^2 - 3 in place of the x in x + 1, making it

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