Answer: Choice A)
x = 11*sqrt(2)/2
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Work Shown:
You can use the sine rule to find the value of x
sin(angle) = opposite/hypotenuse
sin(45) = x/11
x = 11*sin(45)
x = 11*sqrt(2)/2
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Or you could use the 45-45-90 triangle template
hypotenuse = sqrt(2)*short leg
11 = sqrt(2)*x
x = 11/sqrt(2)
x = 11*sqrt(2)/2 after rationalizing the denominator
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Or you could use the pythagorean theorem
For a 45-45-90 triangle, the legs are the same length. They are both x for now.
a^2+b^2 = c^2
x^2+x^2 = 11^2
2x^2 = 121
x^2 = 121/2
x = sqrt(121/2)
x = sqrt(121)/sqrt(2)
x = 11/sqrt(2)
x = 11*sqrt(2)/2
Answer:
P = 12x -6
Step-by-step explanation:
L = 5x - 3
W = x
P = 2(L + W)
P = 2(5x -3 + x)
P = 2(6x -3)
P = 12x -6
It is true because a rational function is defined as those functions where the variable is placed in the denominator, which must be restricted, because all denominators cannot be equal to zero, other wise it would be undetermined
Answer:
Side x is adjacent to 30° angle.
<u>Correct method is:</u>
- cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99
Diego is correct and Steven is wrong.
- when finding <u>sine</u> consider the <u>opposite side to the angle</u>, not hypotenuse
- when finding <u>cosine</u> consider <u>adjacent side to the angle,</u> not hypotenuse
9514 1404 393
Answer:
622
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 +d(n -1)
where a1 is the first term (6), and d is the common difference (14-6=8).
Then the 78th term is ...
a78 = 6 + 8(78 -1) = 6 + 616 = 622
The 78th term is 622.
