Answer:
24 sin 70
Step-by-step explanation:
Sin 70 = 24/ladder
Ladder = 24* sin 70
Answer:
8 is the length of JB
Step-by-step explanation:
<u>Key skills needed: Equations, Congruence</u>
1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:
- JB is congruent to BK
- Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
- Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side
2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.
3) This means that 16x -24 = 4x
Subtract 16x from both sides : -24 = -12x
Divide by -12 on both sides and get x = 2
4) Substitute x into the length of JB (16x-24)
16(2)-24 = 32-24 = 8
5) Therefore, the length of JB is 8
<em>Hope you understood and have a nice day!! :D</em>
Answer:
(x-7)^2 + (y-2) ^2 = 130
Step-by-step explanation:
We need to find the length of the radius
the length of the radius is found by using the distance formula
r = sqrt( ( -2-7)^2+( -5 -2)^2)
sqrt( ( -9)^2+( -7)^2)
sqrt( 81+49)
sqrt(130)
The formula for a circle is
(x-h)^2 + (y-h) ^2 = r^2
where (h,k) is the center and r is the radius
(x-7)^2 + (y-2) ^2 = 130
Well, it is
. That is, the equation is
. The run could be found when y=0, so
or
or
or
. 375 inches. 30 feet means 360 inches, as far as I remember (in my country only metric systems are being used :) ) so it doesn't really work -- the ramp is just a bit too long.
B. 906 inches ! Gooooood luck lol
