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3 years ago

A square is cut diagonally into two equal parts. If each part has an area of 50 cm2, then what is the perimeter of each part?

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

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a ferry shuttles people from one side of a river to the other. the speed of the ferry is still water is 25 mi/h. the river flows

Anarel [89]

Answer:

The Terry's resultant speed is 27mi/h

Direction of ferry=20°

Step-by-step explanation:

(-25,0) + ( 0, 9)= (-25, -9) is the vector representing the movement of the ferry

Speed of ferry = sqrt[(-25)^2 + (-9)^2]

Speed= sqrt (-625 + (-81))

Speed= sqrt(-706)

Speed=26.57mi/h

Nearest tenth,speed= 27mi/h

Tanz° = (-9/-25)

Tanz°= 0.36

Z°= tan^-1 0.36

Z= 19.80°

Nearest tenth,z=20°

7 0

3 years ago

X+ 60 + 120 + 150+ 75 = 360

garik1379 [7]

Answer:

There is no way it can equal 360 since 60+120+150+75=405? Was it a typo?

Step-by-step explanation:

7 0

3 years ago

K/13 = 0.6/0.5 what does that equal

photoshop1234 [79]

$\frac{k}{13}$ = $\frac{0.6}{0.5}$ equals k = 15.6

First, simplify $\frac{0.6}{0.5}$ to 1.2. Your problem should look like: $\frac{k}{13}$ = 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.

5 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

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals

Zinaida [17]

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3= 1-2+3-4+5-6+7-8...

S3= +1-2+3-4+5-6+7-8...

________________

2S3= 1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

4 0

3 years ago