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3 years ago

The faces of a regular dodecahedron are what type of polygon?

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

It's a Dodecagon polygon because it has 12 sides.
Thank you

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

:) Find the surface area and volume of the cylinder below:

bonufazy [111]

Answer: 1727.9

Step-by-step explanation:

Volume = πr2h

= π×52×22

= 550π

= 1727.8759594744 feet3

3 0

3 years ago

What is 34% of 50?<br> x = [?].50<br> 2<br> Enter your answer as a decimal.<br> Enter

d1i1m1o1n [39]

I don't think it's 100 or right

8 0

3 years ago

Read 2 more answers

Solve These Number Patterns:

irina [24]

1) -512, 1024, -2048. You just multiply by -2.
2)7.8125, -3.9062, 1.9531. You divide by -2

4 0

4 years ago

From the observation deck of a skyscraper, Micaela measures a 45° angle of

EleoNora [17]

Answer:

870

Step-by-step explanation:

The angle we are focusing on is 45 degrees and we are given vaules/variables for the opposite and adjecent of the triangle. This means we use tangent. The opposite of the triangle is 870 and the adjacent is the unknown (x). The equation then simplifies to

tan(45)=870/x

tan(45)x=870

870/tan(45)=x

if you plug this into the caluclator you get 870.

8 0

3 years ago