Answer:
1. The measure of the remaining leg is 21\sqrt{3} units
2. The angle opposite the side with length 21 units measures 30°
Step-by-step explanation:
The Pythagorean theorem tells you the remaining side length is ...
√(42² -21²) = 21√3 . . . . . matches the first statement, discounts statements 3 and 5
The angle opposite the 21-unit leg can be found from ...
angle = arcsin(21/42) = 30° . . . . . matches the second statement, discounts statement 4.
Answer:
x= 13
Step-by-step explanation:
x + 8 = 21
x + 8-8 = 21-8
x = 13
4(x - 3) - 2(x - 1) > 0
4x - 12 - 2x + 2 > 0
2x - 10 > 0 |add 10 to both sides
2x > 10 |divide both sides by 2
x > 10 ⇒ x ∈ (10; ∞)
6.5693%
I’m not sure what you need to round this up to but this is the furthest I got with it. :)
Answer:
125 barn 75 sleeping
Step-by-step explanation:
5/8 of 200 cows
of means multiply
5/8 x 200 = 1000/8 = 125
125 cows grazing
200-125 = rest of cows
75 = rest of cows sleeping
