Mathematics, 13.01.2020 02:31 christiancase06

Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. then use your result to find the surface area of the cone. use 3.14 for π. round the final answer to the nearest hundredth.

height: 10 yards
diameter: 16 yards

question 20 options:

522.75 yards2

321.79 yards2

102.48 yards2

1751.87 yards2

Answers: 2

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Answers

Answer from: hallmansean04

Check the picture below.

$\bf \textit{slant height of a cone}\\\\ SH = \sqrt{h^2+r^2}\qquad \implies SH=\sqrt{10^2+8^2}\implies SH=\sqrt{100+64} \\\\\\ SH = \sqrt{164}\implies SH\approx 12.80625\implies \stackrel{\textit{rounded up}}{SH = 12.81} \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA = \pi r\sqrt{h^2+r^2}+\pi r^2\implies SA=\pi r\cdot SH+\pi r^2 \\\\\\ \stackrel{\textit{using }\pi =3.14}{SA = (3.14)(8)(12.81)+(3.14)(8)^2}\implies SA = 522.7472\implies \stackrel{\textit{rounded up}}{SA = 522.75}$

Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. the

Answer from: chivitogomez2400

522.75 yards2

Step-by-step explanation:

The diagram of the cone is shown in the attached photo. The slant height forms the hypotenuse of the right angle triangle formed. The radius of the base of the cone is

Diameter /2 = 16/2 = 8 yards

To determine the slant height, we would apply Pythagoras theorem which is expressed as

Hypotenuse^2 = opposite ^2 + adjacent ^2

Slant height^2 = 8^2 + 10^2 = 164

Slant height = √164 = 12.81 yards

Formula for Total surface area of a cone is expressed as

πr^2 + πrl

L represents the slant height

π = 3.14

Therefore, total surface area

= (3.14 × 8 × 8) + (3.14 × 8 × 12.81)

= 200.96 + 321.7872

= 522.75 yards

Answer from: Quest

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

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

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