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3 years ago

Don't understand question and don't know formula

Mathematics

1 answer:

zzz [600]3 years ago

7 0

The formula is (number of sides-2)*180 over number of sides

Each angle for hexagon is 120degree because
(6-2)*180 over 6 equals to 120
So p is 120
For q:
2q=180-120
2q=60
q=60 over 2
q=30
P+Q=120+30
=150

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While passing a slower car on the highway, i accelerate uniformly from 12 m/s to 24 m/s in a time of 10.0s. How far do you trave

Taya2010 [7]

You say that there is uniform acceleration so:

vf-vi=at (final velocity minus initial velocity is equal to acceleration times time)

We know vf, vi, and t so we can solve for acceleration:

24-12=a10

12=10a

a=1.2

That is the acceleration, we will need to integrate with respect to time twice...

v=⌠a dt

v=at+vi , we know a=1.2m/s^2 and vi=12m/s

v=1.2t+12,

x=⌠1.2t+12 dt

x=1.2t^2/2+12t+xo, we can just let xo=0 for this problem...

x(t)=0.6t^2+12t

Now we know that this acceleration lasts for 10 seconds so the distance traveled in that time is:

x(10)=0.6(10^2)+12(10)

x(10)=60+120

x(10)=180 meters

6 0

3 years ago

The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege

Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

$x^2+(x+1)^2+(x+2)^2=7805$

$x^2+x^2+2x+1+x^2+4x+4=7805$

$3x^2+6x+5=7805$

$3x^2+6x+5-7805=0$

$3x^2+6x-7800=0$

$x^2+2x-2600$

By middle term splitting,

$x^2+(52-50)x-2600=0$

$x^2+52x-50x-2600=0$

$x(x+52)-50(x+52)=0$

$(x-50)(x+52)=0$

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0

3 years ago

How long would it take?

lutik1710 [3]

To find how long it would take, you must divide the total amount of gallons of water in the pond by the amount of gallons drained per hour. This would translate to:

4290 ÷ 78

Which would give you the total amount of hours needed to completely drain the pool, aka the answer:

4290 ÷ 78 = 55

8 0

4 years ago

Which equation matches the graph?

Kipish [7]

Answer:

Step-by-step explanation:

we can easily find this by looking at our y intercept

our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for

so C would be oour answer since its the only one with -1 as its constant

hope this helps <3

8 0

3 years ago

What is the inverse of the function f(x) = 2x + 1?

timama [110]

Answer:

(a) h(x) = 1/2x -1/2

Step-by-step explanation:

The inverse of the function y = f(x) is found by solving x = f(y).

<h3>setup</h3>

x = f(y)

x = 2y +1 . . . . . . use the definition of f(x)

<h3>solution</h3>

x -1 = 2y . . . . . subtract 1

(x -1)/2 = y . . . . divide by 2

y = 1/2x -1/2 . . . . eliminate parentheses

h(x) = 1/2x -1/2 . . . write in functional form

The inverse of f(x) = 2x+1 is ...

h(x) = 1/2x -1/2

5 0

2 years ago

Read 2 more answers