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zlopas [31]
3 years ago
6

The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.

Mathematics
1 answer:
ra1l [238]3 years ago
7 0
The area is 45 inches squared

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if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher
iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

  1. If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
  2. (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

7 0
3 years ago
A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from
White raven [17]

<u>Answer:</u>

The height of the ladder is 14.491 feet

<u>Explanation</u>:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,  

H^2   = P^2 + B^2

Substituting the values in the above formula,

H^2  = 112 + 92

H^2  = 121 + 81

H^2 = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

3 0
3 years ago
A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your wor
grigory [225]

0.15 US Gallons = 1.2 Pints

20*1.2= 24 pints

5 0
3 years ago
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nalin [4]

Answer:

a) area = side²

225 in² = side²

side = √225 = 15 inches

b) 15 inches per side x 4 sides x $1.35 per inch = $81.00

Step-by-step explanation:

4 0
2 years ago
Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
tekilochka [14]
I think the answer is 1,600 totals students taking metaphysics
7 0
3 years ago
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