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professor190 [17]
3 years ago
13

I need help on thiss...

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

Rounded to the nearest whole number, the circles have a collective area of 20 square inches

Step-by-step explanation:

Each of the squares has a radius that is 1/4 the width of the box, so 1.25 inches.  We can simply calculate their four areas given that information, and the sum of them will be the correct answer.

The equation for the area of a circle is πr².  We know r is 1.25, and we need three 4 of these, so we can update the equation to say:

a = 4 × π × 1.25²

a = 4 × π × 1.5626

a = π × 6.25

a ≈ 19.625

Rounded to the nearest whole number, that would be 20 square inches.

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This table represents the number of inches, n, a plant grows after m, months in a new pot.
Yuki888 [10]

Answer: Slope = 5/4

y-intercept = 2

Step-by-step explanation:

We have the table:

Months, m            Plant height in inches, n

0                           2

2                           4.5

4                            7

6                            9.5

We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

Then our equation is:

y = (5/4)*x + 2.

Slope = 5/4

y-intercept = 2

8 0
3 years ago
Mikayla bought 5 skirts at $x each. Three of the five skirts came with a matching top for an additional $9 each write and simpli
Alisiya [41]
To find the total cost of Mikayla's purchase, we add together the costs of the skirts and tops. The costs of the skirts can be found be multiplying the quantity bought by the cost per skirt. Same goes for the tops.

5x + 3(9)

Simplified:

5x + 27
3 0
3 years ago
Cindy is going to order some packets of seeds. The cost, c, of an order of n packets of seeds is given by the equation c equal 4
andriy [413]

Answer:

c

Step-by-step explanation:

i took the test

8 0
3 years ago
Read 2 more answers
The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
Can someone help me? In this net, the two triangles are right triangles. All quadrilaterals are rectangles. What is its surface
Nikitich [7]

Answer:

Net Area = 168

Step-by-step explanation:

See attachment for complete question

I'll make reference to the attachment, when needed.

The shapes that make up the net are labelled 1 to 5.

So, to calculate the surface area of the net, we simply calculate the surface area of each label.

Label 1: Rectangle

Area = Length * Width

Area = 10 * 5

Area = 50

Label 2: Rectangle

Area = Length * Width

Area = 8 * 5

Area = 40

Label 3: Rectangle

Area = Length * Width

Area = 6 * 5

Area = 30

Label 4: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

Label 5: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

So, the net area is the summation of the calculated areas of label 1 to 5

Net Area = 50 + 40 + 30 + 24 + 24

Net Area = 168

5 0
3 years ago
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