Suppose a student picks 3 points at random from Q, R, S, T, W shown below. Find the probability that these randomly chosen points are noncollinear

Answer:

Euler's formula for polyhedron is:

As per the above formula the relationship between the vertexes, edges and faces is same for any polyhedron.

Lets confirm, have a look at the picture

(a) Tetrahedron, count each element:

Verify

(b) Hexagonal prism, count each element:

Verify

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

Answer:

B, A, C

Step-by-step explanation:

The size of the angle is directly proportional to the length of the side

Answer:

roughly 12.56 units

Step-by-step explanation:

Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle

half of the diameter is the radius, so 8/2 =4, r=4

Plug in what we know...

C=2*pi*4

Solve

2*3.14*4

25.12

divide by 2

25.12/2=12.56

12.56 units is the perimeter

Answer:

Approx. 20.566 units

Step-by-step explanation:

Find the circumference of the whole circle first by doing:

C = 2πr

r = 4 (8 divided by 2)

C ≈ 25.133

Then divide that by two because a semi-circle is half a circle:

12.566

Then add 8 (diameter) to that number for the open side.

Hope this helps :)

Answer:

Step-by-step explanation:

-2x - 14 > -4 + 3x

subtract 3x from both sides

-5x - 14 > -4

add 14 to both sides

-5x > 10

divide both sides by -5

x < -2

The answer would be -5x > 10.

This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.

So therefore the answer would be -5x > 10.

Answer:

sorry but theres no answer to that if we can't see the square :|

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

if you mean to the tens place, then its 5,940

Step-by-step explanation:

Answer:

5940

Step-by-step explanation:

Answer:

Hypotenuse (x) = 7.27

Step-by-step explanation:

cos57*=4cm/x

cos57*/cos57*=4/cos57*

x=4/cos57*

cos57*~.55

x=4/.55

x=7.27

Answer:

a) -2.5x+3.9+1.7x

circle: 2.5x and 1.7x

variables: x

b) 1 1/2+t+2/3s

no like terms

variables: s and t

c) 15k+2/3k+3m

circle: 15k and 2/3k

variables: k and m

Answer:

three thousand dollars

Step-by-step explanation:

you round up to 3000

Answer:

-1,050

Step-by-step explanation: This is quite simple first we know that 2,100 is negative(-2,100) because it is descending/going down. So now we know that we can divide -2,100 by 2 which sums up to 1,050. But we are going to have to add a negative sign due to the fact that if the two integers you are dividing are opposite signs it would be negative. So if you add a negative sign to 1,050 it would be -1,050. Just to keep in mind that opposites make negative when dividing I will put the integer rules below.

Answer:

The answer is -1,050.

Step-by-step explanation:

An equation to represent the relationship between the submarines elevation & time would be y=-1,050x. Since we know that in two hours the submarine can reach 2,100 feet below the surface we need to figure out how long the submarine can reach in 1 hour. So we do 2,100/2 which equals 1,050. And since the submarine going below, it turns into -1,050.

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

Answer:

64

Step-by-step explanation:

you divide 256 four times

Answer:

1.1l

Step-by-step explanation:

350×3=1050cl

=1.05l

rounded to nearest hundredth=1.1l

Answer:

what do you mean by find all the zeros and multiplicities, you have me confused on that part, if you explain that part a little more then I might be able to help you out a little bit M8

Answer:

(-.5)

Step-by-step explanation:

Answer:(6,2)

Step-by-step explanation:

Photomath

Answer:

x=6

y=2

(x,y)=(6,2)

.................................

Answer:

1) Volume of triangular pyramid = 33 cm³.

2) Volume of triangular prism = 99 cm³

Step-by-step explanation:

1) Volume of a triangular pyramid is given as;

V_py = ⅓Ah

Where A is area of base and h is height

We see from the diagram that;

A = 11 cm²

h = 9 cm

Thus; V_py = ⅓ × 11 × 9 = 33 cm³

2) Volume of triangular prism is given by;

V_pr = ½bhl

Where;

½bh is area of triangular cross section

l is length

We see from the diagram that ½bh = 11 cm² and L = 9 cm

Thus;

V_pr = 11 × 9 = 99 cm³

Answer: 6+y < -16

Step-by-step explanation:

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

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Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

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An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

Answer:

2 * 2 * 2 * 2 * 2 * 2

4 * 16

8 * 8

Step-by-step explanation:

Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be written as,

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

   = 4 × 16

   = 8 × 8

Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.

Learn more about Power here:

https://brainly.com/question/23432317

#SPJ2

Answer:

16

Step-by-step explanation:

Answer:

3)Quadratic

Step-by-step explanation:

Brainliest?

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

3=-3x-18

3x=-18-3

3x=-21

x=-7

Use desmo.com

its really helpful

Answer:

2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation: