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Bogdan [553]
2 years ago
11

What is the range of possible sizes for x?

Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

<em>0.5 < x < 15.5</em>

Step-by-step explanation:

<u>Triangle Inequality Theorem</u>

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

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The Martins drove the 468 miles between Memphis, Tennessee and Cincinnati, Ohio in one day. If they left Memphis at 7 a.m. and a
saveliy_v [14]
52mph, depending what unit you need the answer in you may have to use conversions
4 0
3 years ago
A car increases, then decreases, its speed. Which table could represent the speed of the car?
gulaghasi [49]

Answer:

B is ur answer

Step-by-step explanation:

6 0
2 years ago
Write the equation in spherical coordinates. (a) x2 y2 z2 = 64
vekshin1

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

<h3>How to rewrite the equation in spherical coordinates?</h3>

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

If you want to learn more about spheres, you can read:

brainly.com/question/10171109

8 0
2 years ago
The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your
umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

                 Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

                Sea tank looks like a rectangular prism,

                 Formula to calculate the volume of rectangular prism,

                                   Volume, V =whl.............................(1)

                Where, w - Width of the rectangular prism

                              h - Height or depth of the rectangular prism

                               l - Length of the rectangular prism

              From given,

                       w = 35 meters

                         l = 27 meters

                        h = 10 meters

             Equation (1) becomes,

                                              V = (35)(10)(27)

                                                  = (945)(10)

                                                 =9450

      Volume of the sea tank, V = 9450 Cubic meters

Result:

         The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

           

3 0
3 years ago
How do i do this pls help me
Delvig [45]

Answer:

y =  \frac{1}{7} x + 7

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

-7y = -49-x

ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

\frac{7y}{7}  = \frac{49}{7}  +  \frac{x}{7}

y = 7 +  \frac{1}{7}  x

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

y =  \frac{1}{7} x + 7

3 0
2 years ago
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