Since x=x, this is an isosceles right triangle. By the Pythagorean Theorem:
h^2=a^2+b^2 (the hypotenuse squared is equal to the sum of the squared sides)
5^2=x^2+x^2
25=2x^2
2x^2=25
x^2=25/2
x=√(25/2)
x=5/√2 now if we rationalize the denominator...
x=(5√2)/(√2√2)
x=(5√2)/2
Answer: B
Step-by-step explanation: The number line has tally marks up to 3, so 3 has to be divided by something, meaning A and C do not work. There are 9 total tally marks circled, so the equation equals 9, leaving B as the only possible answer. Also, there are three tally marks per whole number, so each tally is 1/3, which is equal to 2/6, further proving it is B.
Answer:
1.53
Step-by-step explanation:
because 21 minus 19.47= 1.53
Answer:
<h2>
204π units²</h2>
Step-by-step explanation:
The lateral area of the cylinder includes both the side and the ends.
The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height: A = 2π(6 units )(11 units) = 132π units².
The area of one end of this cylinder can be found by applying the "area of a circle" formula: A = πr². Here, with r = 6 units, A = π(6 units)² = 36π units². Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.
The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²
