The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
Answer:
31/40 of the trail
Step-by-step explanation:
he completed 9/10 of the trail (or 72/80 because 9*8 is 72)
He went back 1/8 of the trail (or 10/80 because 1*10 is 10)
72-10 is 62
he went 62/80, simplified is 31/40 of the trail
Answer:
The number of wrapping paper sold was 32 and the number of magazines sold was 40
Step-by-step explanation:
Let
x ----> the number of wrapping paper sold
y ----> the number of magazines sold
we know that
The classes sold 72 items
so
----> equation A
The classes earned $222 for their school
so
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is (32,40)
see the attached figure
therefore
The number of wrapping paper sold was 32 and the number of magazines sold was 40
Let p, n, d represent the number of pennies, nickels, and dimes respectively. The problem statement tells us
.. p +n +d = 150
.. 2p -n = 14
.. 3p -d = 22
Add these three equations to find the number of pennies.
.. (p +n +d) +(2p -n) +(3p -d) = 150 +14 +22
.. 6p = 186
.. p = 31
.. n = 2*31 -14 = 48
.. d = 3*31 -22 = 71
Maria has 31 pennies, 48 nickels, and 71 dimes.
Answer:
I have the pictures of the whole answer book if you want to see them add me on disco
Step-by-step explanation: