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Vikentia [17]
3 years ago
10

An airplane has a wingspan of 25ft and a length of 20 ft. You are designing a model of the airplane with a wingspan of 15in. Wha

t will the length of your model be?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0
18 inches (1 ft. 6 in.)
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Suppose that the amount of algae in a pond doubles every 5 hours. If the pond initially contains 10 pounds of algae, how much al
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3 0
3 years ago
The area of a rectangle is represented by the function x3 − 2x2 − 40x − 64. The width of the rectangle is x + 4. Find the expres
const2013 [10]

Answer: Length = x² - 6x - 16

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as. Area = length × width

Length = Area/width

The area of a rectangle is represented by the function

x³ - 2x² - 40x - 64. The width of the rectangle is x + 4. Therefore,

Length = (x³ - 2x² - 40x - 64)/(x + 4)

We would apply the method of long division. The steps are shown in the attached photo. From the photo,

Length = x² - 6x - 16

3 0
3 years ago
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6 0
4 years ago
Find each product.<br><br> 1. 2x(x^2-6x+3)<br><br> 2. 2a^2(5b^2 + 3ab + 6a + 1)
hoa [83]

Given:

The expressions are:

2x(x^2-6x+3)

2a^2(5b^2+3ab+6a+1)

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

a(b+c)=ab+ac

The first expression is:

2x(x^2-6x+3)

Using distributive property of multiplication over addition, we get

2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)

2x(x^2-6x+3)=2x^3-12x^2+6x

Therefore, the product of 2x(x^2-6x+3) is 2x^3-12x^2+6x.

The second expression is:

2a^2(5b^2+3ab+6a+1)

Using distributive property of multiplication over addition, we get

2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)

2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2

Therefore, the product of 2a^2(5b^2+3ab+6a+1) is 10a^2b^2+6a^3b+12a^3+2a^2.

3 0
3 years ago
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