Answer:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step explanation:
If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4
6x ≥ 8x - 4
Solving the inequation;
Subtracting 6x each side:
0 ≥ 8x - 6x -4
Summing 4 each side
4 ≥ 2x
Dividing by 2 each side
2 ≥ x
2 greater or equal than x is the same as:
x ≤ 2
Answer:
A,D,E
Step-by-step explanation:
I just took the quiz.
Answer:
41%
Step-by-step explanation:
1200-850=350
350 is the markup, now we need the percentage
the orginal price was 850 so we just need to divide 350 by 850
we get 0.4117...
convert that to a percentage and we have 41% markup
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
In order to answer the question we need the lengths to do the math.
