Right triangle can be rotated to create a cone!
Answer:
we know that
[the lateral area of a right circular cone]=pi*r*l
where
r--------------> the radius of the circle part of the cone
l--------------> the side (slant height) of the cone
r=6 ft
h=8 ft
Step 1
find the slant height of the cone
which is determined by using Pythagoras, since the cross section is a right triangle.
l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft
Step 2
find the lateral area
[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²
the answer is 188.4 ft²
The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The sum of all the angles can be written as,
∠A + ∠B + ∠C = 180°
90° + 62° + ∠C = 180°
∠C = 28°
Sin(∠B) = AC/BC
Sin(∠B) = b/8
b = 8 × Sin(62°)
b = 7.06
Cos(∠B) = AB/BC
Cos(∠B) = c/8
c = 8 × Cos(62°)
c = 3.76
Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.
Learn more about Trigonometric functions:
brainly.com/question/6904750
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Answer:
(a) The probability is 9.49%
(b) The probability is 38.28%
Step-by-step explanation:
The probability that a failure is due to induced substance is calculated as a multiplication as:
(13%) * (73%) = 9.49%
Where 13% is the percentage of heart failures that are due outside factors and 73% is the percentage of outside factors that are due induced substances.
On the other hand, the probability that a failure is due to disease or infection is the sum of the probability that a failure is due to disease and the probability that a failure is due to infection.
Then, the probability that a failure is due to disease is calculated as:
(87%) * (27%) = 23.49%
Where 87% is the percentage of heart failures that are due natural factors and 27% is the percentage of natural factors that are due disease.
At the same way, the probability that a failure is due to infection is calculated as:
(87%) * (17%) = 14.79%
So, the probability that a failure is due to disease or infection is:
23.49% + 14.79% = 38.28%
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
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