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Marianna [84]
3 years ago
8

What is the area of the figure below?

Mathematics
1 answer:
irinina [24]3 years ago
4 0
1/2 x b x h = 36 , like if u find that please :) .
You might be interested in
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m high
Agata [3.3K]

Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

Thus;

x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

We are given that the dock is 1 meter above the bow. Thus, x = 1

Also, the height is not changing and so dx/dt = 0

We are told the dock is 5 feet away from the boat. Thus, y = 5

dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.

Thus;

z = √(1² + 5²)

z = √26

We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1

Plugging all relevant values into the differentiation equation above gives;

2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)

10(dy/dt) = 2√26

Divide both sides by 10 to get:

dy/dt = (√26)/5

dy/dt = 1.02 m/s

5 0
3 years ago
I have 7200 bags of snickers. If the rest is Hershey’s and Twix is 2/3 of snickers, how many Hershey’s are there?
AveGali [126]

Answer:

Step-by-step explanation:

You have 7,200 bags of snickers

Twix is 2/3 that of snickers

Hershey's is ?

First you need to find out how much Twix you have.

You will need to multiply as a fraction: 2/3*7,200/1 (2 over 3 multiplied by 7,200 over 1)

Next multiply the two numerators together (numerators are the numbers on top of a fraction and the numbers on the bottom of the fraction are called denominators)

2 * 7,200 = 14,400

Next multiply the denominators together:

3 * 1 = 3

So now your fraction is 14,400/3 (14,400 over 3)

Now divide the denominator into the numerator:

14,400 divided by 3 = 4,800

So 2/3 of the 7,200 bags of Snickers equals 4,800 Twix

Now take away the Twix from the Snickers

7,200 - 4,800 = 2,400

So now all up you have:

7,200 bags of snickers

4,800 bags of Twix

2,400 bags of hershey's

=)

4 0
2 years ago
Does anyone know what 3x+y=15 5x3y=11 is? It has to be answered in desmos.
faust18 [17]

3x + y = 15

5x3y = 11

This is an example of a system of equations.

A system of equations is two or more equations that can be graphed, as the solution that satisfies both equations will be the point where the lines intersect on a graph.

Desmos is a graphing calculator, and thus it allows you to visualize this system.


8 0
3 years ago
Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
2 years ago
If your current examination mean is 97.2 and you receive a 99 on the next examination, what effect will this have?
mr Goodwill [35]

If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.

  • Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.

  • To find the average, sum all the values ​​in the set. Then divide the total by the number of values.

We have the current examination mean, xold = 97.2

Now, we receive,  x = 99 on the next examination, the new mean will be:

xnew = (xold + x)/N

xnew = (97.2+99)/2

xnew = 196.2/2

xnew = 98.1  

The new average is 98.1

98.1 > 97.2

So if you score 99 on your next exam, your average will increase.

Learn more about mean here

brainly.com/question/1136789

#SPJ4

3 0
1 year ago
Read 2 more answers
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