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Delicious77 [7]
3 years ago
8

millie needs the average height of the plants she is buying to be at least 73 inches. she has selected three plants that are 70,

71, and 72 inches tall. Right and solve an inequality that Millie could use to determine the possible heights of her fourth plant
Mathematics
1 answer:
Igoryamba3 years ago
4 0
We are given with:
Average height of plants to be at least 73 inches

Three plants with heights of
70, 71, 72

The inequality that can be used to determine the possible heights of the fourth plant is:
(70 + 71 + 72 + x) / 4 ≥ 73
Solving for x
x ≥ 79
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Anastaziya [24]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Prove that if a and b are integers, then a^2-4b egal or non-egal 2
Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that a^2 - 4b \neq 2

Let  a^2 - 4b = 2

If a is an even integer, then it can be written as a = 2c, then,

a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as a = 2c+1, then,

a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and a^2 - 4b \neq 2.

7 0
3 years ago
Please help!!!!!
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8 0
3 years ago
Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot
Brums [2.3K]

The area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2 option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

<h3>What is a circle?</h3>

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

\rm A = \frac{3\sqrt{3} }{2} a^2  where a is the side length.

\rm A = \frac{3\sqrt{3} }{2} 10^2 ⇒ 150\sqrt{3} \rm feet^2

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3} feet

The area of the circle a = \pi r^2  ⇒ \pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2  

The area of the shaded region = A - a

\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2

Thus, the area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2

Learn more about circle here:

brainly.com/question/11833983

7 0
2 years ago
What are the values of x and y?
tensa zangetsu [6.8K]
Answer: x = 8√7, y = 4√21

Explanation:

1) There are three triangles.

2) The small triangle of the right has a right angle,  and the sides are the height, x and 16.

3) The small triangle of the left, has a righ angle, and the sides are the heigth, y and 12.

4) The big triangle has a right angle, and the sides are the x, y and 28.

5) Set three equations using Pytagora's theorem for the three triangles..

a) y^2 + x^2 = 28^2 = 784

b) h^2 + 12^2 = y^2

c) h^2 + 16^2 = x^2

6)  Subtract b) from c)

16^2 - 12^2 = x^2 - y^2

=> x^2 - y^2 = 112

add x^2 - y^2 = 112 with the equation a)

x^2 - y^2 = 112
x^2 + y^2 = 784
----------------------
2x^2 = 112 + 784

2x^2 = 896

x^2 = 896 / 2 = 448

x = √448

x = 8√7

7) now you can use any a) to find y:

y^2 + x^2  = 784

=> y^2 = 784 - x^2

=> y^2 = 784 - 448

=> y^2 = 336

=> y = 4√21

Answer: x = 8√7, y = 4√21


3 0
4 years ago
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