Find the ratio in the simplest form 15 minutes to 2 hours

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

ipn [44]

Point F = (-2,-3); Apply the midpoint formula, (x1+x2/2),(y1+y2/2) = (x,y).

-6+2/2

-4/2

x=-2

-2+(-4)/2

-6/2

y=-3

(x,y)=(-2,-3)

3 0

4 years ago

Read 2 more answers

If WZYX is equal to PMLN describes two quadrilaterals, which other statement is also true? I NEED THIS ANSWER ASAP

kondor19780726 [428]

Answer:

C.WXYZ equal to PNLM

Step-by-step explanation:

Look at the given statement, WZYX is equal to PMLN.

WZYX is equal to PMLN. W corresponds to P.

WZYX is equal to PMLN. Z corresponds to M.

WZYX is equal to PMLN. Y corresponds to L.

WZYX is equal to PMLN. X corresponds to N

Now look in the choices. The letters must correspond like they do above.

W must correspond to P.

WXYZ equal to P...

X must correspond to N.

WXYZ equal to PN...

Y must correspond to L.

WXYZ equal to PNL...

Z must correspond to M.

WXYZ equal to PNLM

Answer: C.WXYZ equal to PNLM

8 0

3 years ago

Read 2 more answers

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

sammy [17]

Answer:

probability at least one zero is 0.3439

Step-by-step explanation:

given data

last four digits = randomly selected

to find out

probability that for one such phone number the last four digits include at least one 0.

solution

we know there are total 10 digit

so we first find probability of non zero digit i.e.

Probability ( non zero ) = 9 /10 = 0.9

and now we find probability of none of digit zero only event happen n= 4 time in a row by multiplication rules i.e

Probability ( none zero in 4 digit ) = $0.9^{n}$

Probability ( none zero in 4 digit ) = $0.9^{4}$

Probability ( none zero in 4 digit ) = 0.6561

so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )

probability at least one zero = 1 - 0.6561

probability at least one zero is 0.3439

3 0

3 years ago

Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, âˆ’1), B(4, âˆ’3, 0), C(1

zavuch27 [327]

Answer:

Angle at vertex A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19 x 2√5)= 10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19 x √19)= (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19 x 2√5)= 10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex A : 59.2° B: 61.7° C : 59.1°

7 0

3 years ago

A fraction model is shown. Which equation correctly shows the fraction of the shaded parts?

Lostsunrise [7]

Answer:

I need more information to answer this.

3 0

2 years ago