He used an incorrect time ratio converting hours to minutes.
Answer:
- A'(-3, 12)
- B'(9, 6)
- C'(-6, -6)
Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
Answer: −7g+2
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Step-by-step explanation:
it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2
Answer:
B. 196.5
Step-by-step explanation:
First lets fine the semi circle's area.
The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.
The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14
(3.14)(8)²=200.96 and half of that is 100.48
The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.
The formula for area of an triangle is A=1/2bh
We can see that the base is 16 and height is 12, and now plug it in.
A=1/2(16)(12)= 96.
The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.
