Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
Answer:
A≈110.11
using formula 1/4
Step-by-step explanation:
Answer:
x = 125.44
Step-by-step explanation:
you multiply both side by 7
so 7 • 17.92 = 7 • x/7
125.44 = x
Because if he don’t he wouldn’t keep track on a invention he has made
Let's call the numbers x (the bigger) and y (the smaller)
The larger of two integers is 8 less than twice the smaller. this means:
x=2z-8
When the smaller number is subtracted from the larger, the difference
<span>
is 17.
This means: x-z=17.
i'll insert </span>
2z-8
instead of x, since it's equal to it:
2z-8-z=17
2z-z is just z:
z-8=17
so
z=25.
and x must be 25+17=42
let's check:The larger of two integers is 8 less than twice the smaller.
twice the smaller is 50, and yes, 42 is 8 smaller than 50, it's correct!
so the two numbers are 25 and 42
