Answer:
The answer is $8.13
Step-by-step explanation:
subtract $2.12 from $10.25
The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
<h3>
How to rotate the triangle?</h3>
The coordinates of RST are given as:
R = (5,15)
S = (15,15)
T = (10,5)
The rule of 90° counterclockwise around the origin is:
(x,y) -> (-y,x)
So, we have:
R' = (-15,5)
S' = (-15,15)
T' = (-5,10)
Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
Read more about rotation at:
brainly.com/question/4289712
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Answer:-3
Step-by-step explanation:
y=3x+2................(1)
y=x-4......................(11)
Subtract (11) from (1)
y-y=3x-x+2-(-4)
0=2x+2+4
0=2x+6
Collect like terms
0-6=2x
-6=2x
Divide both sides by 2
-6/2=2x/2
-3=x
x=-3
You have to know the formula for the volume of a cone.
In high school, there's no other way.
Volume of a cone = (1 / 3) π (radius)² (height)
Volume = (1 / 3) π (12 inches)² (15 inches)
Volume = 720 π = 2,261.95 cubic inches
Rounded to the nearest cubic inch, that's<u> 2,262 cubic inches</u>.
Answer:
The age of mother is:
40 years
Step-by-step explanation:
2a = 5b
b = 16
a = age of a mother
b = age of her son
2a = 5*16
2a = 80
a = 80/2
a = 40
probe:
2*40 = 5*16 = 80
