Answer:
0.4
Step-by-step explanation:
Find square root of 12 and 15
12=3.46 rounded to 3.5
15=3.87 rounded to 3.9
0.9-0.5=0.4
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin = 
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
45.5 is your answer, you will have to multiple the height times the base ( 5 x 9.1 )
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
hope this is right! have a great. day
Answer:
t=1/30 h = 2 min
Step-by-step explanation:
d = vt
system of equations:
d = 13t
d - 2/5 = t -> d = t+2/5
Solve
13t = t +2/5
t = 1/30 h = 60 min / 30 = 2 min
