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Mama L [17]
2 years ago
5

Use pascals triangle to find the coefficient of the third term in the expansion of (a + b)2

Mathematics
1 answer:
yanalaym [24]2 years ago
3 0

Answer:

2. ( a + b )

Step-by-step explanation:

The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers. To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).

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Work out 140-3^2×(8+4)+6÷2
kiruha [24]

Answer:

140 - 9 (12) + 3

140 - 108 +3

140 - 111

= 29

4 0
2 years ago
The area of a rectangular gymnasium is (5x+5x) square feet. If it is 5x feet wide, what is the length, in feet?
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Area = L x W      gym area is (5x + 5x) ft²      if   W = 5x      Find the L

Area = L x W       divide both sides by W

Area/W  = (L x W) / W

Area/W  =  L  =  Area/W

    L = Area/W

       =  (5x + 5x) / (5x)

       =  5x( 1 + 1) / 5x

       =  5x(2) / 5x                      the 5x's cancel each other  5x/5x = 1

       =   2 ft          I got 2.  I suspect the 12 was a typo and should have been 2

5 0
2 years ago
A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 18 centim
Daniel [21]
The answer is 1808.64 ft²

To calculate area of square we need to find radius r. Radius is a half of a diameter:
r = d/2

The blueprint:
d = 18 cm
r = 18/2 = 9 cm

<span>The blueprint has a scale of three centimeters to four feet. Actual radius r1 is:
</span>3 cm : 4 ft = 18 cm : r1
After crossing the products:
r1 = 4 ft * 18 cm : 3 cm
r1 = 24 ft

The area of the circular base of the fountain is:
A = r1² * π
π = 3.14
r1 = 24 ft

A = 24² * 3.14
A = 1808.64 ft²
3 0
3 years ago
andrea drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles?
Anika [276]

Given : Andre drove 200 Miles using 9 Gallons of Gas

⇒ Andre drives 1 Mile using [\frac{9}{200}]\;Gallons\;of\;Gas

⇒ Andre drives (420 × 1 Mile) using [\frac{420\times9}{200}]\;Gallons\;of\;Gas

⇒ Andre drives 420 Miles using 18.9 Gallons of Gas

7 0
3 years ago
The least amount of wrapping paper needed to wrap a cube-shaped gift is 150 square inches. How long is one side of the gift?
devlian [24]


Isn't the only thing you have to do is since a cube has 6 sides than you would have to do 150 divided by 6. If I am correct.


5 0
3 years ago
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