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Nataliya [291]
3 years ago
7

+

Mathematics
2 answers:
Murljashka [212]3 years ago
4 0

Answer:

11

Step-by-step explanation:

The sum of the shortest two sides must be greater than the longest side.

If n is the longest side:

6 + 8 > n

14 > n

If 8 is the longest side:

6 + n > 8

n > 2

So n must be an integer greater than 2 and less than 14.

n can be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, or 13.

There are 11 possible integers.

Lostsunrise [7]3 years ago
3 0

\LARGE{ \boxed{ \rm{ \purple{Answer}}}}

We know,

Sum of two sides of a triangle > Third side

Then,

⇛ 6 + 8 > n

⇛ 14 > n

Nextly,

Difference of two sides of a triangle < Third side

Then,

⇛ 8 - 6 < n

⇛ 2 < n

Then, Range of third side:

☃️ <u>2 < n < 14</u>

Possible measures of 3rd sides = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or 13.

There are 11 possible values of 3rd side. Out of them, any measure is the length of 3rd side.

<u>━━━━━━━━━━━━━━━━━━━━</u>

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Find the perimeter of a regular heptagon with consecutive vertices at "A" (-2,-5) and "B" (1,-9)
weqwewe [10]

Answer:

Perimeter is 35 units.

Step-by-step explanation:

A heptagon has 7 equal sides.

Given the length of two consecutive vertices, A(-2-5) and B(1,-9).

We can find the length of AB and multiply by 7.

Recall the distance formula;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The length of AB is

|AB|=\sqrt{(-2-1)^2+(-5--9)^2}

|AB|=\sqrt{(-3)^2+(4)^2}

\Rightarrow |AB|=\sqrt{9+16}

\Rightarrow |AB|=\sqrt{25}

\Rightarrow |AB|=5\:units

Therefore the perimeter is 7\times 5=35\:units.

7 0
3 years ago
a flower garden is 4 feet longer than its width. write a polynominal that represents the area of the garden
LenaWriter [7]
L = W+4
A = L x W
A = w + 4 x w
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3 0
2 years ago
What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?
ludmilkaskok [199]
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

The axis of symmetry is 6
3 0
3 years ago
Write an equation that you can use to find the value of x.
MariettaO [177]
Line CA is a straight line, meaning it adds up to 180°

Line BE splits the line into two supplementary angles, because when the two angles are added together they will equal 180°

Using the rule of supplementary angles, we can then make the equation 3x + 8x + 15 = 180

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7 0
2 years ago
The diameter of a circle is 16 kilometers. Find the area of the circle.
Elden [556K]

The diameter of a circle is 16 kilometers. Then the area of the circle is 201.062 \mathrm{km}^{2}

<u>Solution:</u>

Given that , the diameter of a circle is 16 kilometers  

We have to find the area of the circle .

Radius is half of diameter.

\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}

<em><u>The area of circle is given as:</u></em>

\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}

Hence, the area of the circle is 201.062 km^2

4 0
3 years ago
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