THEOREM:
<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
ANSWER:
By same side interior angles theorem,
∠4 + 123° = 180°
∠4 = 180° - 123°
∠4 = 57°.
Hello!
To find the y-intercept of any given equation, you will need to substitute x for zero.
Also, to write the y-intercept as an ordered pair, it will look like (0, y), where y is the y-intercept, and x-value is zero because we substituted zero into all the x-values of the equation.
y = -(2^x) (substitute x = 0)
y = -(2^0) (any exponent raised to the power of zero is equal to one)
y = -(1) (simplify)
y = -1
Therefore, the y-intercept of the function y, is (0, -1).
Answer:
20 3/20 rounds to 20
Step-by-step explanation:
Operations are performed according to the Order of Operations. Sometimes the mnemonic PEMDAS or BIDMAS is used to remind you what the order is.
P/B - parentheses/brackets. The content of these is evaluated first.
E/I - exponents/indices. Exponentiation is done first, right to left: a^b^c = a^(b^c).
MD/DM - multiplication and division are done in order of appearance, left to right. Each has equal priority, neither is done before the other unless it appears in the expression first. a/bc = (a/b)c. ab/c = (ab)/c
AS - addition and subtraction are done in order of appearance, left to right. Each has equal priority.
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When functions are involved (sin( ), log( ), sqrt( ), for example), their arguments are evaluated according to the order of operations, then the function is evaluated, then the remainder of the operations are performed. For example, sin(a)^2 = (sin(a))^2. Sometimes, this is written sin^2(a).
When functions are written without parentheses around their arguments, it must be assumed that the function only applies to the first entity following the function name. log ab+c/d = (log(a)*b)+(c/d), for example, or √3x = (√3)x.
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.
First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units
Total area=1320+627=1947 units
