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77julia77 [94]
3 years ago
9

If a rectangle has length x and width x-2, what is the perimeter of the rectangle in terms of x?​

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

length x and width x-2

perimeter of rectangle=2[l+b]=2[(x-2)+x]=4x-4 is your answer

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What is the radius of a cylinder with 490picm^3 of volume and 10 cm of height
Sholpan [36]
V = pi*r^2*h
V = 490
h = 10
490 = pi*r^2*10
r = 3.95
7 0
3 years ago
Three cards are drawn from an ordinary deck without replacement. Find the probability that all three are Hearts.
shepuryov [24]

Answer:

11/850 or about 1.29%.

Step-by-step explanation:

Prob ( first drawn = heart) = 13/52 = 1/4.

Prob ( second drawn = heart) =  12/51 =  4/17.

Prob ( third drawn = heart) =  11/50.

Required probability = 1/4 * 4/17 * 11/50

= 11/850.

8 0
3 years ago
Solve the inequality and express your answer in interval notation. x^2+6x+7<0
d1i1m1o1n [39]
<h2>Hello!</h2>

The answer is:

The interval notation will be:  (-∞,-1.59) and (-4.41,∞+)

<h2>Why?</h2>

To solve the expression, we need to perform the following steps:

- Find the roots or zeroes of the expression:

Using the quadratic equation, we have:

\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

We are given the quadratic expression:

x^{2} +6x+7

Where,

a=1\\b=6\\c=7

Then, substituting and calculating we have:

\frac{-6+-\sqrt{6^{2}-4*1*7 } }{2*1}=\frac{-6+-\sqrt{36-28 } }{2}\\\\\frac{-6+-\sqrt{36-28}}{2}=\frac{-6+-\sqrt{8}}{2}\\\\x_{1}=\frac{-6+\sqrt{8}}{2}=\frac{-6+2.82}{2}=-1.59\\\\x_{2}=\frac{-6-\sqrt{8}}{2}=\frac{-6-2.82}{2}=-4.41

- Inequality interpretation:

Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59

The interval notation will be:and  (-∞,-1.59) and (-4.41,∞+)

Have a nice day!

Note: I have attached a picture for better understanding.

3 0
3 years ago
Read 2 more answers
Water is draining out of a 25 gallon cooler at a rate of 3 gallons a minute. After how many minutes is the cooler empty?
xz_007 [3.2K]
Divide 25 by 3 and you find 8.something. so if u need the gallon cooler to be empty the awnser would be 9 minutes
3 0
3 years ago
Read 2 more answers
EMERGENCY!!! DUE VERY SOON HELP!
Novay_Z [31]

Answer: I thinks it's 193.313

Step-by-step explanation: Let’s take the pentagon with side length 11.7 yards and apothem length 14.1 yards

Area of pentagon is = 5/2 x s x a

= 5/2 x 11.7 x 214.1

=6262.425 square centimetres.

Example 2 : Find the area of a pentagon of side 11.7 yards and apothem length 14.1 yards ?

Solution :

Given,

s = 11.7 yds

a = 14.1 yds

Area of a pentagon

= 193.313 yds

3 0
3 years ago
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