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kramer
3 years ago
6

Help please in question number 5 or 6

Mathematics
1 answer:
NISA [10]3 years ago
6 0

Answer:

Simplified expression: 4b + 4c - 5

Perimeter: 27

Step-by-step explanation:

To find the perimeter, we add the lengths of the sides of the quadrilateral, so 2b + 4b - 5 + 3c - 2b + c, which simplifies to 4b + 4c - 5.  

Plugging in b = 5 an c = 3, we get 4*5 + 4*3 - 5, which gets us 27.

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In her metalwork class, Anja cut a square of
Paul [167]

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

Area=a^2

Where, a is the edge of the square.

Area of the smaller square is:

A_1=(3.7)^2

A_1=13.69

Area of the larger square is:

A_2=(6.3)^2

A_2=39.69

The area of the remaining tin is:

A=A_2-A_1

A=39.69-13.69

A=26

Therefore, the area of the remaining tin is 26 sq. cm.

8 0
3 years ago
A student has decided to binge watch a new series. There are 96 episodes total to watch. This student has finished watching 75%
statuscvo [17]
I believe that the correct answer is 72

Hope this helps!<3
6 0
3 years ago
the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k me
Simora [160]

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/sc) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40}  \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

6 0
4 years ago
Find the PERIMETER of this triangle
olga2289 [7]
First we need to find the missing side, use

a =  \sqrt{ {c}^{2} -  {b}^{2}  }
So the missing leg = the sqrt of the hypotenuse squared minus the other leg squared.

Let's substitute the numbers,

a =  \sqrt{ {10}^{2}  -  {6}^{2} }
Solve for the squares,

a =  \sqrt{100 - 36}
Subtract,

a =  \sqrt{64}
Solve for the root,

a = 8
~~

So our missing length is 8.

To find the perimeter of the triangle, simply add all the sides....

~~

8 + 10 + 6 = 24

~~

Answer : 24

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
4 0
3 years ago
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71 - 2n I think I hope I'm right

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