D= 23 in.
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The first one because it’s (13(31)
Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 4x + 3y = 12 ( add 4x to both sides )
3y = 4x + 12 ( divide the terms by 3 )
y =
x + 4 ← in slope- intercept form
with slope m =
and y- intercept c = 4
---------------------------------------------------
Given
- 5x + 3y = - 9 ( add 5x to both sides )
3y = 5x - 9 ( divide the terms by 3 )
y =
x - 3 ← in slope- intercept form
with slope m =
and y- intercept c = - 3
First, it would help to simplify each side more:
Left side: 36 + 3(4x - 9) = 36 + 12x - 27 = 12x + 9
Right side: c(2x + 1) + 25 = 2cx + c + 25
Write the simplified equation:
12x + 9 = 2cx + c + 25
Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:
2cx >>> 12x
Then, c must equal 6 to make this true.
The answer is choice (C).