volume for cylinder = pi x r^2 x h
radius = half the diameter = 8/2 =4
height = 3 times the radius = 3*4 =12
using 3.14 for pi
volume = 3.14 x 4^2 x 12 = 602.88 cubic inches
Answer:
Step-by-step explanation:
angle A = 40
angle B = 60
angle C = we don't know.
A + B + C = 180
C = 180 - A - B
C = 180 - 40 - 60
C = 80
40 + 60 + 80 = 180
180 = 180...It checks!
The measure of angle A in the isosceles triangle ABC is equal to 120 degrees.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
In the triangle ABC, AB = BC = 8. Triangle ABC is an isosceles triangle and ∠B = ∠C = 30° (base angles are equal).
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 30 + 30 = 180
∠A = 120°
The measure of angle A in the isosceles triangle ABC is equal to 120 degrees.
Find out more on equation at: brainly.com/question/2972832
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Answer:
option c boo if it's for plata
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
