Answer:
r^2 = 45÷2 x^2
Step-by-step explanation:
Details of cone:
Radius(r) = 5x cm
Height(h) = 12x cm
Slant height(l) = √(12x^2 + 5x^2)
l = 13x cm
Total surface area of a cone (T. S. A) = πrl + πr²
T. S. A = π * 5x * 13x + π5x^2
T.S.A = π65x^2 + π5x^2
T.S.A = π65x^2 + π25x^2
T.S.A = 90πx^2 - - - - - (1)
Details of sphere:
Radius (r) = r cm
Total surface area = 4πr²
Total Surface area of sphere= 4πr²cm - - - (2)
Equating (1) and (2) to calculate r
4πr² = 90πx^2
r^2 = 90πx^2 / 4π
r^2 = 90π (x^2) / 4π
r^2 = 45/2 (x^2) ;
r^2 = 45÷2 x^2
Hence the proof
Answer:
Pair 1: 10 cm and 2 cm. and the sum is 12 cm.
Pair 2: 20 cm and 4 cm. and the sum is 24 cm.
Step-by-step explanation:
Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.
Pair 1:
For the first rectangle W = 4 cm and A = 40 sq, cm
Then 
cm.
For the second rectangle W = 4 cm and A = 8 sq, cm
Then 
cm.
Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)
Pair 2:
For the first rectangle W = 4 cm and A = 80 sq, cm
Then 
cm.
For the second rectangle W = 4 cm and A = 16 sq, cm
Then 
cm.
Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)
Andre and his dad have been fishing for 2 hours. In that time, they have caught 9 blue gills and 1 yellow perch. How many total fish are there?
There are 10 total fish. We are looking at how many fish there are, so we need to add 9 + 1 to get our answer of 10 fish.
The next time Andre gets a bite, what kind of fish do you think it would be?
My prediction is that it will be a blue gill.
How do you know your prediction is more likely to happen?
9 out of 10 times, they have caught a blue gill. This is more probable than 1 out of 10.
Can you make any other predictions?
I would say that Andre will catch less yellow perches than blue gills. This is because the probability of catching a blue gill is greater than catching a yellow perch. I would also say that Andre will catch 5 fish per hour, since he caught 10 fish in 2 hours.
11 x < - 66
x < - 66 / 11
x < - 6
hope this helps!
Answer:
C)
Step-by-step explanation:
Note that both are "opposite".
The opposite of 2.5 (Point <em>R</em>) is -2.5 on a number line.
The opposite of -1.5 (Point <em>S</em>) is 1.5 on a number line.
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