Find the area of the figure below

What is the distance between points v (3,3) and w (-2,-3) round to the nearest tenth if necessary

Vinil7 [7]

Answer:

7.81 u

Step-by-step explanation:

<u>Given :- </u>

Two points (3,3) and (-2,-3) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

$:\implies$ D = √{(x2-x1)² + (y2-y1)²}

$:\implies$ D =√[ (3+2)² +(-3-3)²]

$:\implies$ D =√[ 5² +6²]

$:\implies$ D =√[ 25 +36]

$:\implies$ D = 61

$:\implies$ D = 7.81

<h3>Hence the distance between the two points is 7.81 units .</h3>

6 0

3 years ago

Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/

Lana71 [14]

$(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
-\frac{3}{2}=\frac{-9}{10-x} \\
-\frac{3}{2}(10-x)=-9 \\
10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
10-x=6 \\
-x=6-10 \\
-x=-4 \\
\boxed{x=4}$

6 0

3 years ago

Which of these ordered pairs is a solution to the inequality

bezimeni [28]

Answer:

(1, -1)

Step-by-step explanation:

If you replace y and x with (1 and -1) you have -1 - 2^1 < -3

And that equals -3 if solved. The sign says equal to or less than, so you answer is (1, -1)

7 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

The area of a rectangle is 144cm squared.if the length is 16cm. What's the perimeter?

andreev551 [17]

Answer:

50

Step-by-step explanation:

rectangle area = 144 cm

Formula: A= L*H

The give the length which is 16

144 = 16*H

Since they gave u the area instead of the height, work backwards

144/16 = 16/16 *H

9 = H

Now you have the length and height

Length: 16

Height: 9

Perimeter is when you add up all the sides

The top and bottom of the rectangle is the length which is 16 so

16 + 16 = 32

The left and right side of the rectangle is the height which is 9 so

9 + 9 = 18

Now add then both

32 + 18 = 50

So the perimeter of the rectangle is 50

Hope this helped!

4 0

3 years ago