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I am Lyosha [343]
3 years ago
8

A rectangle has a length of 23 inches and a perimeter of 74 inches. what is the width of the rectangle?

Mathematics
2 answers:
hram777 [196]3 years ago
7 0
Perimeter = 2(l+b)
74 = 2 ( 23 + b )
b = 14
width = 14 inches
bija089 [108]3 years ago
3 0
Perimeter, P = 2*(L + W), 

Where L = Length, W = Width

P = 2*(L + W)

74 = 2*(23 + W)

74/2 = (23 + W)

37 = (23 + W)

37 - 23 = W

14 = W

W = 14

The width is 14 inches.
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Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

a = 2x and b = 3.

We can cube root 8x^3 getting 2x and cube root 27 getting 3.

4 0
3 years ago
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

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Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
A rectangle has an area of 42 cm²; the length is 7 cm. Find its width.
liubo4ka [24]
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7 0
3 years ago
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andre [41]
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A square based prism and a cylinder both have
Anna11 [10]

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

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Volume of cylinder = Volume of Prism

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Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

8 0
3 years ago
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