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3 years ago

FIND THE SURFACE AREA HELP ASAP GET BRAINLISTS

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Answer:

$\large\boxed{a.\ 7200\pi\ mm^2}$

Step-by-step explanation:

The formula of a surface area of a cylinder:

$S.A.=2\pi r(r+H)$

r - radius

H - height

We have r = 40mm and H = 50mm. Substitute:

$S.A.=2\pi(40)(40+50)=80\pi(90)=7200\pi\ mm^2$

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Given that (6,-8) is on the graph of f(x), find the

Volgvan

Answer:

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3 years ago

The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n

Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width = 8 inches

height = 7 inches

Volume of regular prism is given by area of base * height

area of base = length * width ( as bin is rectangular)

area of base = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

= 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 * full capacity of the recycling bin

= 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0

3 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

10 months ago

Classify each number below as a rational number or an irrational number.<br> rational irrational

Vadim26 [7]

Rational
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6 0

2 years ago

Read 2 more answers

A 12 foot ladder is leaning up against the side of a house the ladder makes an angle of 62° with the ground. How far up the side

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 62 = h/12

h = 12Sin62

h = 12 × 0.8829

h = 10.6 feet

4 0

3 years ago