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3 years ago

What is the area of the triangle in the coordinate plane?

Mathematics

2 answers:

AnnZ [28]3 years ago

5 0

The answer to this is C.54 units² .

Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54

Anni [7]3 years ago

4 0

$\huge\mathfrak {Answer}$

Area of triangle

= 》1/2 × Base × height

$= > 54 {unit}^{2}$

Thanks

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Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

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Step-by-step explanation:

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3 years ago

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solve the quadratic equation: (W-12)(2W+25)=0
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please refer to this website for how to factor a quadratic equation
http://www.purplemath.com/modules/factquad.htm

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