The area of the triangle with the coordinate of the vertice will be 6 square units.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle RST, with vertices R(5,-9), S(9,-5), and T(7,-4), is drawn on the coordinate grid below.
Then the area of the triangle will be
Area = 1/2 [(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]
Area = 1/2 [{5 x -5 + 9 x -4 + 7 x -9} - {-9 x 9 + -5 x 7 + -4 x 5}]
Area = 1/2 [{-124} - {-136}]
Area = 1/2 [ -124 + 136]
Area = 1/2 x 12
Area = 6 square units
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Answer:
62.5
Step-by-step explanation:
Let unknown number be represented as X
80/100 ×X=50
80X/100=50 cross multiply
80X=5000 divide both side by 80
X=62.5
The number is 62.5
Answer: Choice C. 107.9 degrees (approximate)
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Explanation:
Draw a line segment from A to B. Mark point E as the intersection between this new line segment and the arc CD.
We can see that AE = 4000 because it's another radius of the same circle. The diagram shows that EB = 2800.
So,
AB = AE+EB = 4000+2800 = 6800
Because point D is a tangent point, this means radius AD is perpendicular to tangent segment BD. We have a 90 degree angle at point D, or we can write angle BDA = 90.
With triangle BDA being a right triangle, we can use a trig ratio to compute angle DAB. I'll call this angle A for short.
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Apply the cosine ratio. Focus entirely on triangle BDA.
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AB
cos(A) = 4000/6800
cos(A) = 10/17
A = arccos(10/17)
A = 53.9681209275294 ... make sure your calc is in degree mode
A = 53.968
Angle DAB = 53.968 degrees approximately
This represents exactly half of central angle CAD, so we'll double the value to get 2*53.968 = 107.936 which rounds to 107.9 degrees showing why choice C is the answer.
Central angle CAD is exactly equal to the arc it cuts off, minor arc CD. The central angle is roughly 107.9 degrees of a full 360 degree circle, and the same can be said about the outer arc edge piece of minor arc CD.
Answer:
1020; 68.
Step-by-step explanation:
5 x 3= 15
340 x 3= 1020
340/5= 68
Hope this helps!!Have a great day!!
Patterns are used to represent sequence of numbers.
The shape at the 50th position is a triangle
The pattern rule is given as: square, triangle, circle, oval.
The number of shapes (n) is given as:
So, the 50th shape is calculated using the following absolute operator
i.e. divide 50 by 4, and take note of the remainder.
When 50 is divided by 4, the remainder is 2
So, we have:
This means that, the shape at the 50th position is the same shape at the 2nd position.
Hence, the shape is triangle
Read more about pattern at:
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