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denis-greek [22]
3 years ago
14

A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a

nd the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.
Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

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Y = 4x - 1

The slope here is “4”
8 0
3 years ago
Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet. ​
Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

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  • Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

  • An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

6 0
2 years ago
HELPPPP! Which expression is equivalent to 7Vx^2/5Vy^2
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Pretty sure it’s the first answer
4 0
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Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
3 years ago
Solve sin x + 2 sin x cos X = for 0°
solniwko [45]

Answer:

Step-by-step explanation:

hello :

sin x + 2 sin x cosx = 0   equivalent to : sinx(1+2cosx) =0

sinx=0 means :  general solution is  : x= kπ....k in Z

1+2cosx=0  means : cosx= -1/2 general solution is : x= ±π/6+kπ...k in Z

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3 years ago
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