Mathematics, 29.06.2019 22:00 miner12924owhu4d

Given: kpst is a trapezoid, kp=st, mn is a midsegment, mn=20, h=15, ps: kt=3: 7 find: ks and kp

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Answer from: Mintfu8122

The length of KS is 25 units and the length of KP is 17 units.

Step-by-step explanation:

Given information: KPST is a trapezoid, KP=ST, MN is a mid segment, MN=20, h=15, PS:KT=3:7 .

Since two sides of the trapezoid are equal therefore it is an isosceles trapezoid.

The midsegment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.

The length of mid segment is average of length of parallel lines. The length of mid segment is 20.

It is given that PS:KT=3:7. Let the length of sides be 3x and 7x respectively.

$\frac{3x+7x}{2}=20$

$\frac{10x}{2}=20$

5x=20

x=4

The value of 3x and 7x are 12 and 28 respectively. So, the length of sides PS and KT is 12 and 28 respectively.

Use pythagoras in triangle AKP.

AK^2+AP^2=KP^2

(8)^2+(15)^2=KP^2

$\sqrt{64+225}=KP$

tex]\sqrt{289}=KP[/tex]

17=KP

Use pythagoras in triangle BKS.

BK^2+BS^2=KS^2

(20)^2+(15)^2=KS^2

$\sqrt{400+225}=KS$

tex]\sqrt{625}=KS[/tex]

KS=25

Therefore length of KS is 25 units and the length of KP is 17 units.

Given: kpst is a trapezoid, kp=st, mn is a midsegment, mn=20, h=15, ps: kt=3: 7 find: ks and kp

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

answer: certain

step-by-step explanation:

the probability of any event is a number which tells the chances that the event will happen or not .

an event that is certain to happen has a probability of 1.

an event that is uncertain to happen has a probability of 0.

therefore, if the the probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1 .

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Given: kpst is a trapezoid, kp=st, mn is a midsegment, mn=20, h=15, ps: kt=3: 7 find: ks and kp...

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