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3 years ago

Find the area of the polygon

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

20 cm^2

Step-by-step explanation:

Sectioned it off and multiplied the length by the width

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FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?

Pachacha [2.7K]

Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

$density = \frac{mass}{volume} \\$

From the question we have

$density = \frac{9}{3} = 3 \\$

We have the final answer as

Hope this helps you

7 0

2 years ago

What is the final amount is 2250 is decreased by 2% followed by a further 3% decreased?Give your answer rounded to 2 do

Bas_tet [7]

Answer:

100-2=98

2250/100x98=2450

100-3 = 97

2450/100 X 97= 2376.50

6 0

2 years ago

There are 2 grams of fat in 1 pound of chicken. there are 9 grams of fat in 4.5 pounds of chicken. How many grams of fat would b

kramer

Answer:

There will be 20 grams of fat in 10 pounds of chicken.

Step-by-step explanation:

Based of the pattern you can tell that the Grams of fat will always be double the amount of pounds.

2 grams of fat in 1 pound

9 grams in 4.5 pounds

So:

10 * 2 = Grams of fat

10 * 2 = 20 Grams of fat.

So there will be 20 grams of fat in 10 pounds of chicken.

5 0

3 years ago

Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four

gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width. In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex. First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0

3 years ago

Question 14

Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

$6x+y=-1\\y=-6x-1$

second equation:

$-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1$

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0

3 years ago