We know that
if the dilated circle <span>passes through the point (4, 0)
so
the new radius is the distance from the origin to point (4,0)
d=</span>√[(4-0)²+0²]-----> d=√16------> d=4 units
the new radius is 4 units
original radius is 1 units
[new radius]=[scale]*[original radius]
scale=new radius/original radius-----> scale=4/1-----> 4
the answer is
<span>the scale factor of dilation is 4</span>
Answer:
The area of the triangle is six square metres.
Step-by-step explanation:
The area of the triangle is half the area of the rectangle that it fits in. This one is particularly simple, as it's a right triangle and we're given its width and height, so it's area is:
w × h ÷ 2
= 3 × 4 ÷ 2
= 3 × 2
= 6
Answer:
45
Step-by-step explanation:
Triangles equal up to 180 degrees therefore you do the following to solve this equation. So you have 80 and 55. So you add 80 to 55 and you get 135. Now you subtract 180 by 135 and that equals 45. So x=45. I will write it out as well.
55+80=135
180-135=45
x=45
To check.
80+55+45=180
Answer:
There are 7 chairs in each row.
Step-by-step explanation:
Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.
Let us assume that there are P numbers of chairs and there are x chairs in each row.
Therefore, we can write that
6x + 3 = P ....... (1) and
8x = P + 11
⇒ 8x - 11 = P ........ (2)
Now, from equations (1) and (2) we get,
6x + 3 = 8x - 11
⇒ 2x = 14
⇒ x = 7
Therefore, there are 7 chairs in each row. (Answer)
