The angle where the letter S is which would be angle RSQ = 1/2 x (131 +43) = 87
the angle opposite os RSQ would be PST and that would equal the same as RSQ which is 87
so 2 angles = 87 +87 = 174
so the other 2 angles need to equal 360 - 174 = 186
since opposite angles equal each other divide that by 2 so 186 / 2 = 93
so both angle RST and PSQ are 93
The answer is D 93 degrees
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
The correct answer is: [B]: "False" .
____________________________________________
<u>Note</u>: A "square centimeter" is the area covered by a square whose sides are:
"1 centimeter" long.
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<u>Note</u>: A "square meter" is the area covered by a square whose sides are:
"1 meter" long.
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Answer:
f(x) = 2x³ - 6x² - 48x + 24
relative minimum: (4,-136)
relative maximum: (-2,80)
answer is the second option
9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
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<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
