Answer:
<em>x=-11</em>
Step-by-step explanation:
<em>17+x/6=0</em>
<em>17+x=6</em>
<em>x=-11</em>
Answer:
The tree is 12 feet tall
Step-by-step explanation:
Let a represent the length of where the bird was sitting to the oak tree
let b represent the height of the tree
let c represent the length at which the bird flew
by pythagoras theorem
c²=a²+b²
b²=c²-a²

subtitute in the values




Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Answer:
See below
Step-by-step explanation:
It's hard to see your photo but if that say m∠T than your answer would be
m∠ L.
The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle. m∠M = m∠J, m∠K = m∠E and m∠L = m∠T
Since you have two of the angles, you can also determine what m∠L and m∠T is equal to. The sum on all interior angles must be 180 degrees.
180 - 86 - 32 = 62
Using the cross product property on this proportion gives us the following equation:
20 (2x - 9) = 10 (9)
Use the distributive property and multiply
40x - 180 = 90
Add 180 to both sides
40x = 270
Divide 40 from both sides
x = 270/40
Simplify fraction
x = 27/4
This should be your answer. Let me know if you need any clarifications, thanks!