Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Answer:
a = 77°
Step-by-step explanation:
Two angles are complementary if their sum is 90 degrees.
Let us assume that the angle b is complement of a.
Given statement complement (complement (a)) = complement (b) = a
Complement (complement (77°)) = complement ( 13°) = 77°
The conclusion is obvious that this is the same angle.
God with you!!!
Surface area of the rectangular solid = 416 in.².
Volume = 480 in.³.
<h3>What is the Surface Area and Volume of a Rectangular Solid?</h3>
Surface area = 2(wl+hl+hw)
Volume = (length)(width)(height).
Given the following:
Length (l) = 12 in.
Width (w) = 10 in.
Height (h) = 4 in.
Surface area = 2(wl+hl+hw) = =2·(10·12+4·12+4·10) = 416 in.².
Volume = (12)(10)(4) = 480 in.³.
Learn more about the surface area of rectangular solid on:
brainly.com/question/1310421
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Answer:
7y-4x.
Step-by-step explanation:
I think that the last 2 shouldn't be there and the third option should be 7y-4x or all the options are incorrect.
-3(2x- y) + 2y + 2(x+y)
= -6x+3y + 2y+2x+2y
= -6x+2x+3y+2y+2y
= -4x+7y.
29000? .... what exactly are you supposed to be finding
