Answer: #1) 3. The semicircle has twice the area of the circle
#2) 3. 28.26 cm
Step-by-step explanation:
#1) The formula for area of circle is A=πr².
First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².
Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².
Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.
#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.
A= π(3)²
A= 28.27 cm²
The standard form of hyperbola is:
(x-h)²/a²-(y-k)²/b²=1
center:(4,5)
Length of the horizontal transverse axis: 8-5=3=2a
thus
a=3/2
a²=9/4
b=2
b²=4
Hence the equation will be:
(x-4)²/(9/4)-(y-5)²/4=1
simplifying this we get:
[4(x-4)²]/9-(y-5)²/4=1
Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
And this is why the polygons are similar :)
9/1 and then your answer would be 9 and then add the a so your full answer would be 9a
Answer:
Step-by-step explanation:
-6.25x > -38 3/4
-6.25x > -155/4
Multiply by (-4)
25x > 155
divide by 25,
x > 155/25
x > 31/5
x > 6.2
