Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
Tangerine is simply color orange, which is an addition of red and yellow colors. To analyze if the portions written below are reasonable, the given sum must equal to the sum of the individual red and yellow parts.
Total Red + Total Yellow = 5(3/10)
3(9/10) + 2(3/8) ? 5(3/10
3.45 ? 1.5
3.45 ≠ 1.5
<em>Since they are not equal, then it means the portions are unreasonable.</em>
Answer: 232 pages
Step-by-step explanation:
Total digits = 588
1 digit page number:
1 to 9 = 1 × 9 = 9
Number of pages = 9/1 = 9
2 - digit page number :
10 - 99 = 2 × 90 = 180
Number of pages = 180/2 = 90
3 - digit page number :
588 - (9 + 180) = 588 - 189 = 399
Number of pages with 3 - digits = 399/3 = 133
Therefore, the total number of pages the book has is :
(9 + 90 + 133) = 232 pages
For the right triangle to be given in name of three letters such as this, the right angle is most likely to be in the center, in this case letter K. To determine the common trigonometric properties of a certain angle we may use of the mnemonics SOH - CAH - TOA.
sin angle = opposite side / hypotenuse
cosine angle = adjacent side / hypotenuse
tangent angle = opposite side / adjacent side
If we let small letter j, k, and l be the sides opposite to angles J, K, and L, respectively. Then, the cos (L) will be,
cos (L) = j/k
(x^1/2 y^-2/3)^-6
= x^(1/2*-6) y^[(-2/3) *(-6)]
= x^-3 y ^4
= y^4 / x^3
answer is D. y^4 / x^3