Answer:
These two figures are similar because 
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is , and for the bigger figure the ratio is which upon simplification reduces to .
So we see that the ratios are equal. Thus the figures are similar.
1. The surface that will be exposed to the rain is the lateral surface of the cylinder and the hemisphere.
2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.
3. the circumference of the base = 2
r=2*
*5=10
so the lateral area = 10
*h=10
*40=400
(
)
4. The surface area of a sphere is
so the surface of the hemisphere =
(
)
5. Total area exposed = 450
step 1
Find the slope of the given line
we have
y=(2/3)x+4
the slope is m=2/3
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
the slope of the perpendicular line to the given line is
m=-3/2
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-3/2
point (-2,5)
substitute
5=(-3/2)(-2)+b
solve for b
5=3+b
b=2
therefore
<h2>y=-(3/2)x+2</h2>
Answer:
Let’s find out...
Step-by-step explanation:
21 x 13 = 273
(13 x 20) + (13 x 1) =
260 + 13 = 273
So this one matches
(21 x 10) + 213 =
210 + 213 = 423
Does not match
(30 x 13) - (9 x 13) =
390 - 117 = 273
This one matches
(20 x 10) + (1 x 3) =
200 + 3 = 203
Does not match
