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3 years ago

What is the lateral surface area of this prism helpp plzzz

Mathematics

1 answer:

natka813 [3]3 years ago

7 0

Answer:

surface area=2(1/2×12×5)+(8×5)+(13×8)+(12×8)

=60+40+104+96

=300inches squarred

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The answer to all 11.

madam [21]

Answer:

The rate of the current is 2 miles per hour.

Step-by-step explanation:

Let us assume that the rate of the river is v miles per hour.

The speed of the boat is 12 miles per hour.

Let us assume also that the boat can go 21 miles in t hours in the downstream and 15 miles upstream at the same time i.e. t hours.

So, from the condition given we can write that

$12 + v = \frac{21}{t}$ ......... (1), and

$12-v =\frac{15}{t}$ ......... (2)

Now, adding those two equations we get

$24 = \frac{21}{t} +\frac{15}{t} = \frac{36}{t}$

⇒ $t = \frac{3}{2}$ hours

Now, from equation (1), we get,

$12 + v = \frac{21}{\frac{3}{2} } =14$

⇒ v = 2 miles per hour

Therefore, the rate of the current is 2 miles per hour. (Answer)

8 0

3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago

Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how

katen-ka-za [31]

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

4 0

3 years ago

Find the errors and correct the following mathematical sentences.

matrenka [14]

Answer:

This is your answer

4 0

3 years ago

Evaluate the power: (−3)^4<br> A. 81<br> B. -81<br> C. 243<br> D. -331

Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

${3}^{4}$

Simplify.

$81$

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>Option</u><u> </u><u>A</u><u>)</u><u> </u><u>81</u><u>.</u>

7 0

3 years ago

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