The total number of coins is 9. Therefore
p+n+d = 9 (1)
There are two fewer nickels than dimes. Therefore
n = d - 2 (2)
From (1) and (2), obtain
p+(d-2)+d = 9
p + 2d = 11
p = 11 - 2d (3)
Total value:
0.01p + 0.05n + 0.10d = 0.53 (4)
Substitute (2) and (3) into (4).
0.01(11-2d) + 0.05(d-2) + 0.10d = 0.53
0.11 - 0.02d + 0.05d - 0.10 + 0.10d = 0.53
0.03d + 0.01 = 0.53
0.13d = 0.52
d = 4
p = 11 - 2d = 11 - 8 = 3
Answer: 3 pennies
Answer:
rotation 90° CW about the origin we defined
Step-by-step explanation:
The image has the same orientation (clockwise order of vertices) as the pre-image, so an even number of reflections is involved. These cannot be reflections across the x- or y-axes. The longest edge has an east-west orientation in the pre-image and a south-north orientation in the image. Any reflections must have a net effect of a rotation 90° CW.
Equivalently, the image is rotated 90° clockwise from the pre-image.
With a suitable choice of center of rotation, the image can be obtained with a single 90° CW rotation transformation.
If we define the lower left corner of the pre-image as having coordinates (-1, 2), then a 90° CW rotation about (0, 0) will yield the image.
Answer:
y=-2/5x+2
Step-by-step explanation:
The answer is C=10
This is the Pythagorean theorem, it solves for the hypontunuse. Basically it tells you the missing sides length.
It’s really simple once you get the hang of it. The formula is
A^2+b^2=c^2
Plug in the side lengths you have (6 and 8)
6^2+8^2=c^2
36+64=c^2
100=c^2
DO NOT PUT 100 AS ANSWER
You then take the square root of 100, to get 10^2
