The third choice, 4x²+18x+0.25=0, is correct.
The frame will have the same thickness on both sides of the mirror. Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width.
The area is found by multiplying the total width and total length:
A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)
Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²
We know that the area is 19.75:
19.75=20+18x+4x²
We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²
In standard form, it will be:
4x²+18x+0.25=0
Step-by-step explanation:
the volume of a cylinder is
base area × height = pi×r² × height
with r being the radius.
so, we get
pi×6² × 10 = pi×36 + 10 = 360pi =
= 1,130.973355... ft³
now we need to look at the conversion rate between feet and meters :
1 ft = 0.3048 m
1 ft² = 0.3048² m² = 0.09290304 m²
1 f³ = 0.3048³ m³ = 0.028316847... m³
1,130.973355... ft³ = 1,130.973355... × 0.028316847... =
= 32.025599... m³
so, something is not right with your answer options. it looks like you put maybe the answer options of a different question in here.
but none of them get even close to the actual solution of the given question.
The ratio has a total of 2+3=5 units, of which 2 correspond to the length of segment AM. The difference of x-coordinates Bx-Ax = 20-0 = 20. 2/5 of that amount is (2/5)*20 = 8, so the x-coordinate of M is
Mx = 8 + Ax = 8 + 0 = 8
The difference of y-coordinates is 0 - 15 = -15. 2/5 of that amount is (2/5)*(-15) = -6, so the y-coordinate of M is
... My = -6 + Ay = -6 + 15 = 9
The point M is (Mx, My) = (8, 9).
Answer:
C. HL
Step-by-step explanation:
The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.
