Answer:
x = 20°
y = 70°
Step-by-step explanation:
the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)
in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°
to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°
Answer:
A) ≈ 6.93
B) ≈ 0.02
Step-by-step explanation:
A)
Formula : a² + b² = c²
2.4² + 6.5² = c²
5.76 + 42.25 = c²
c = √48.01
c ≈ 6.93
B)
Formula = c² - a² = b²
1/3² - 1/4² = b²
1/9 - 1/16 = b²
b = √7/144
b ≈ 0.02
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Answer:
y = 8x + 7
Explanation:
The equation of the line in slope-intercept form has the following general formula:
y = mx + c
where:
m is the slope of the line = 8
c is the y-intercept = 7
Substitute with the givens in the above formula to get the slope of the line as follows:
y = mx + c
y = 8x + 7
Hope this helps :)
Answer:
b = 
Step-by-step explanation:
The standard form of the sine is
y = asin(bx + c) + d
where | a | is the amplitude, period = 
c is the phase shift and d the vertical shift
Here period = 15, thus
= 15 ( multiply both sides by b )
15b = 2π ( divide both sides by 15 )
b =
