Answer:
Number 3 has no solution
Step-by-step explanation:
First you need to divide both sides of the equation 12x - 12y = -12 by 4
-3x + 3y = -3
12x - 12y = -12
-3x + 3y = -3
3x - 3y = -3
Then you need to eliminate one variable by adding the equations.
0 = -6
this statement is false, and therefore has no solution.
The ratio of the media room tv's width to height is 8ft to 4.5ft or 8/4.5
since the ratio of the living room tv's width to height is the same, the ratio would be
x/27 = 8/4.5
with x being the living room tv's width. Solve for x
x = (8/4.5)(27)
= 48
The width of the living room tv is 48 inches
Answer:
C
Explanation:
B=Base Area
In a cylinder, the base area is a circle.
Area Circle=pi r^2
Replace base area with area of circle:
V=pi r^2 H
9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.