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3 years ago

9

A garden at the local library is in the shape of a right triangle the dimensions of the garden are shown in the diagram. What is

the area in the square feet Area of triangle = 1/2 bh

1 answer:

Sladkaya [172]3 years ago

3 0

37.5 square feet

Area=1/2 b*h=1/2 * 7.5 * 10= 1/2 * 75 = 37.5

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What is -4+0+y, When y=16

BlackZzzverrR [31]

$\large \mathfrak{Solution : }$

let's plug in the value of y :

-4 + 0 + y

-4 + 16

12

8 0

3 years ago

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Please help me simplify 9x-3(2+4x)=

denis23 [38]

solution

1) <span>Expand
</span><span>9x−6−12x

2) </span><span>Gather like terms
</span><span>(9x−12x)−6

3) </span> <span>Simplify
</span><span><span>−3x−6</span></span>

4 0

4 years ago

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

Stells [14]

Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

6 0

3 years ago

Plz help i need help

Brums [2.3K]

A(3,1) B(2,5) C(4,4)

7 0

3 years ago

Could anyone help, please?

Dmitry_Shevchenko [17]

First, find the probability of each event:

1) the probability that the spinner will land on a 7.

Since the spinner is split 4 equal sections and there is only 1 sector with 7, we can say the probability of getting a 7 is 1/4 as there is only 1 of 7 out of the total of 4 sections.

<em>and</em>

2) the probability that the spinner will land on B.

Since the spinner is split into 3 equal sections, and there is only 1 sector for B, we can say the probability of getting B is 1/3.

To find the probability of 2 events, we need to multiply the two probabilities.

1/4*1/3 = 1/12

So the answer is 1/12.

4 0

3 years ago