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Dima020 [189]
3 years ago
5

A triangle has two side lengths 7 and 9. What value could the length of the third side be? Check all that apply

Mathematics
2 answers:
Licemer1 [7]3 years ago
7 0

Answer:

8,5,10,13

Step-by-step explanation:

Let

x----->  the length of the third side

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any two sides of a triangle must be greater than the measure of the third side

so

case A)

7+9 >x\\16> x\\x

case B)

7+x >9\\x>9-7\\ x>2\ units

The solution for the length of the third side is the interval------> (2,16)

All real numbers greater than 2 and less than 16

therefore

the solutions are

8,5,10,13

mamaluj [8]3 years ago
3 0
<span>Each side has to be less then the sum of the other two sides.
A, B, C, and E work.

</span>
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Find the intercepts of the equation -x-2y=4 I need the x and y intercept in two points
Basile [38]

Answer:

x-intercept: (-4,0)

y-intercept: (0,-2)

Step-by-step explanation:

5 0
2 years ago
What are the roots of the quadratic function in the graph?
k0ka [10]
The answer would be B) -5, 3. The roots can be found where the graph crosses the x-axis, which on this graph is -5 and 3.
7 0
3 years ago
The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe
juin [17]

The height of container is 8 feet

<em><u>Solution:</u></em>

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

<em><u>The volume of container is given as:</u></em>

v = length \times width \times height

Given that volume of the container is 216 cubic feet

216 = l \times w \times h

Substitute eqn 1 and eqn 2 in above formula

216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0

Solve by factoring

(h-8)(h^2+4h+27) = 0

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

h - 8 = 0\\\\h = 8

Also,

h^2+4h+27 = 0

Solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}

h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}

Therefore, on solving we get,

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

<em><u>Thus solutions of "h" are:</u></em>

h = 8

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0
3 years ago
To the nearest degree what is the measure of each exterior angle of a regular hexagon ?
otez555 [7]
This is the concept of geometry, the total sum of angles in a hexagon is given by:
(n-2)*180
=(6-2)*180
=720
the size of each interior angle will be:
120°
N/B
the exterior and interior angles are supplementary to each other.
Therefore the size of the exterior angle will be:
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=60°
the answer is A
3 0
3 years ago
Read 2 more answers
Answeerrrrr asapppooaoaoaoao please need helppppp
AlekseyPX

Answer:

1a. Yes

1b. No

1c. Yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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