Answer:
Step-by-step explanation:
I do not understand what you mean
or maybe you mean .
5 * (2,6)
(10,30)
Answer:
length of the zip line = 121. 63 ft
Step-by-step explanation:
The length of the zip line AB forms a triangle ABC. To find the length AB we need to know the length of 2 sides of the triangle an angle.
Triangle ADC
We need to find the hypotenuse side AC using the SOHCAHTOA principle.
Therefore,
sin 41° = opposite/hypotenuse
opposite = 65 ft
sin 41° = 65/AC
cross multiply
0.65605902899
AC = 65
divide both sides by 0.65605902899
AC = 65/0.65605902899
AC = 99.0764506359 ft
AC ≈ 99.08 ft
Triangle BCE
We are looking for side BC. The triangle BCE is also a right angle triangle so we use the same methodology like the triangle ADC.
sin 62° = opposite/hypotenuse
opposite = 85 ft
sin 62° = 85/BC
cross multiply
BC sin 62° = 85
BC = 85/sin 62°
BC = 85/0.88294759285
BC = 96.2684543086
BC ≈ 96.27 ft
The angle ACB can be gotten when you subtract 62° and 41° from 180 (angle on a straight line).
Therefore,
∠ACB = 180° - 62° - 41°
∠ACB = 77°
Now let us use the cosine law to find the zip line AB.
c² = a² + b² - 2ab cos C
a = 96.27 ft
b = 99.08 ft
c² = 96.27² + 99.08² - 2 × 96.27 × 99.08 cos 77°
c² = 9267.9129 + 9816.8464 - 19076.8632 cos 77°
c² = 19084.7593 - 19076.8632 × 0.22495105434
c² = 19084.7593 - 4291.36049041
c² = 14793.398810
square root both sides
c = √14793.398810
c = 121.628116856
c ≈ 121. 63 ft
length of the zip line = 121. 63 ft
Answer:
3/2
Step-by-step explanation:
Basically just multiply 1/2 by numbers.
1/2 * 2 = 1
1/2 * 3 = 3/2
1/2 * 4 = 2
1/2 * 5 = 5/2
And so on.
Answer: 17.5 or 35/2
Step-by-step explanation:
(If you change 4/5 to a decimal, it makes this easier. 4/5 would be 0.8.)
23.6 = (12 + x)*0.8
23.6 = 9.6 + 0.8x
14 = 0.8x
17.5 = x
17.5 as an improper fraction would be 35/2.
To write the inequality, the first thing to do is name the variables that will be present.
We have then that:
x = number of students per room
The inequation is:
x <= 30
answer:
an inequality to describe the number of students in each homeroom is
x <= 30
