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Igoryamba
3 years ago
5

Calculate the area of rectangle if the area of the shaded triangle is 2.6cm​

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

12

Step-by-step explanation:

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Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of
ivanzaharov [21]

Answer:

C(t)=5000 -10t

Step-by-step explanation:

There are many examples in the real world of relationships that are functions.

For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.

If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

C(t)=C_{0}-at\\

Where:

C (t): Amount of water in the tank as a function of time

C_{0}: Initial amount of water in the tank at time t = 0

a: amount of water lost per hour

t: time in hours

Then the equation is:

C(t)=5000 -10t

The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.

Its domain is the set of all positive real numbers t between [0,500]

Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty

Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres

7 0
3 years ago
Read 2 more answers
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg.
cricket20 [7]

The cost of 1kg of coal mined from the ore is $0.0397

Data;

  • 1 ton = $35.99
  • 1kg = ?

<h3>The Cost of 1kg of Coal</h3>

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

1ton = 907kg\\

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

brainly.com/question/870035

3 0
2 years ago
a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning fl
slava [35]

Answer: \frac{1}{3}\ s

Step-by-step explanation:

Given

Distance traveled is s=30t^2+440t

for s=150 ft

\Rightarrow 30t^2+440t=150

\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s

6 0
3 years ago
Write a quadratic equation with a integer coefficients with roots x= 1/2 and x=-4
Misha Larkins [42]

The quadratic equation with roots a and b is given by:

x^2-(a+b)x+ab=0

Here a=1/2 and b=-4.

So the equation is given by:

\begin{gathered} x^2-(\frac{1}{2}-4)x+(\frac{1}{2})(-4)=0 \\ x^2+\frac{7}{2}x-2=0 \\ 2x^2+7x-4=0 \end{gathered}

The quadratic equation is as shown above.

8 0
1 year ago
What is the volume of this cuboid?<br>Please help me!!!?!
Snowcat [4.5K]

The formula of a volume of a cuboid:

V=lwh

l - length

w - width

h - height

We have:

l = (x + 4) cm

w = (x + 1) cm

h = 3 cm

Substitute:

V=(x+4)(x+1)(3)      <em>use distributive property</em>

V=(x+4)(3x+3)

V=(x)(3x)+(x)(3)+(4)(3x)+(4)(3)

V=3x^2+3x+12x+12      <em>combine like terms</em>

\boxed{V=3x^2+15x+12}

6 0
3 years ago
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