Answer:
30 centimeters^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
A= (b*h)/2
In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.
b= 12 cm
h= 5 cm
A= (12 cm * 5 cm) / 2
Solve inside the parentheses first. Multiply 12 cm and 5 cm.
A= (60 cm^2) / 2
Divide 60 cm^2 by 2
A= 30 cm ^2
The area of the triangle is 30 square centimeters.
Answer:
Givens
- The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.
<h3>If a window has 2 meters side, how much would it cost? (A)</h3>
Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: 
, where 
represents meters of sides. (C)
<h3>If we paid 60 euros, the dimensions are (B)</h3>
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
Answer:
Image point → (-4, 0)
Step-by-step explanation:
Coordinate of a point → (0, 1)
Rule for the transformation has been given as,
D₄ o R₉₀
First use R₉₀ → Rotation of the point by 90° counterclockwise
Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,
(x, y) → (-y, x)
(0, 1) → (-1, 0)
Further use D₄ → Dilation of the point by a scale factor of 4 about the origin
If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,
(x, y) → (kx, ky)
By applying this rule,
(-1, 0) → (-4, 0)
Therefore, image point will be → (-4, 0)
