Answer:
6/5 < x < 10/3 is the desired solution.
Step-by-step explanation:
Here, the given compound inequality is :
x + 1 < -2 x + 11 < 3 x + 5
Now, consider the first two term of the inequality, we get:
x + 1 < -2 x + 11
Subtracting 1 from both sides, we get:
x + 1 - 1 < -2 x + 11 - 1
or, x < -2x + 10
or, x + 2x < 10
or, 3 x < 10
or, x < 10/3
Similarly, considering the last two terms of the given inequality, we get:
-2 x + 11 < 3 x + 5
Subtracting 11 from both sides, we get:
-2 x + 11 - 11 < 3 x + 5 - 11
or, - 2 x < 3 x-6
or, 6 < 5 x
or, x > 6/5
Hence, combining two solutions, we get: 6/5 < x < 10/3
So, the desired value of x should be more than (6/5) but less than (10/3)
CD = x
BC = y
AB = 85
BD = BC+CD = y+x
tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257
tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117
So CD is roughly 5.877850926117 meters
It doesn’t show the bar graph
Ok, this is a ratio problem; the ratio of the length to width is constant (and therefore equal): 4 /6 = 15 / x Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc. Let's cross-multiply: 4x = (15)(6) x = 90/4<span> x = 22.5 in. </span>
.875 seconds
a=360t
b=280t+(280*.25)
360t=280t+(280*.25)
360t=280t+70
80t=70
t=.875
