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4 years ago

What are the vertices, edges, and faces

Mathematics

2 answers:

zysi [14]4 years ago

8 0

There is 10 vertices 15 edges and 7 faces

vitfil [10]4 years ago

6 0

10 vertices, 15 edges,6 faces

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a baseball diamond is a square with side 90 feet. if a batter hits the ball and runs towards first base with a speed of 25 ft/se

Shkiper50 [21]

The rate when his distance from second base changes and it is two third of the way to first base is - 13.86 feet/s.

let us consider the following values

distance between batter to Second base = d feet

distance between batter to First base

= x feet

distance between first to second base

= 90 feet

Using the Pythagorean theorem:

d² = x² + 90²

Knowing that the velocity of the bat to first base is 25 ft/s,

the distance x can be written as: x

= 90 - 25t

The equation for is,d² = 90²+(90 -25t)²--(1)

we want to find the rate of change of d.

let it be d' and from implicit differentiation:

2d.d' = 2(90-24t) × (-25)

d' = -50(90 - 25t) / (2d)

d' = -25 (90 - 24t) / d ---(*)

We can determine t and d from the fact that the batter is two third to his first base: d = √90^2 + 60^2 = √1 = 108.2 feet

putting the values of d in (1) we get,

=> 90 - 25t = 60 => 25t = 30 => t = 6/5.

Substitute d' in the formula equation (*)

d' = -25 (90 - 24t) / d = -25(90-30)/108.2

d'= - 13.86

d' = - 13.86 feet/s

negative sign means decreasing distance from second base (as it approaches the first

bases, it approaches the second base).

Hence,The required speed is 13.86 feet/s

To learn more about distance, visit :

brainly.com/question/16738356

#SPJ4

7 0

2 years ago

What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring

dimaraw [331]

The length of the rectangle is 11 units

The width of the rectangle is 5 units.

Explanation:

The equation of the trinomial is $r^{2}-6 r-55$

We need to find the length and the width of the rectangle.

The length and width of the rectangle can be determined by factoring the trinomial $r^{2}-6 r-55=0$

Factoring using the quadratic formula, we have,

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

where $a=1, b=-6$ and $c=-55$

Substituting these in the above formula, we have,

$r=\frac{-(-6) \pm \sqrt{(-6)^{2}-4 \cdot 1(-55)}}{2 \cdot 1}$

$r=\frac{6\pm \sqrt{36+220}}{2}$

$r=\frac{6\pm \sqrt{256}}{2}$

$r=\frac{6\pm 16}{2}$

Hence, the two roots of the trinomial are

$r=\frac{6+ 16}{2}$ and $r=\frac{6- 16}{2}$

Solving $r=\frac{6+ 16}{2}$ , we get,

$r=\frac{22}{2}$

$r=11$

Solving $r=\frac{6- 16}{2}$ , we get,

$r=\frac{-10}{2}$

$r=-5$

Thus, the solutions of the trinomial are 11 and -5

Since, the length of the rectangle is larger than the width, the length of the rectangle is 11 units.

Also, the width of the rectangle cannot be negative.

Thus, ignoring the negative sign, we have, $r=5$

Hence, the width of the rectangle is 5 units.

4 0

3 years ago

Yeah sides of a square garden are 8 feet long. You enlarge the garden to create a 25% increase in the length of each side. Find

Naddika [18.5K]

25% of 8 is 2.

25% is the same as 1/4.

1/4 x 8/1 = 8/4 = 2.

it's a 25% increase meaning 125% total. So 8+2, which equals 10.

8 0

3 years ago

PLEASE HELP (80 points!!) <br> What if the following are equivalent to x^2/5 (more than once answer)

spin [16.1K]

Answer:

$\sqrt[5]{x^2}$ and $(\sqrt[5]{x} )^2$

Step-by-step explanation:

They are both correct.

7 0

3 years ago

Read 2 more answers

What is 67,235 written as a number name

BaLLatris [955]

Answer:

sixty seven thousand two hundred thirty five

5 0

3 years ago

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