Answer:
28.7 meters
Step-by-step explanation:
Draw a diagram. Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.
Using trigonometry, we can write two equations for the height of the tower:
h = d tan 65°
h = (d + 25) tan 35°
Setting these equal, we can solve for d.
d tan 65° = (d + 25) tan 35°
d tan 65° = d tan 35° + 25 tan 35°
d (tan 65° − tan 35°) = 25 tan 35°
d = 25 tan 35° / (tan 65° − tan 35°)
d ≈ 12.12
Now we can find x:
cos 65° = d / x
x = d / cos 65°
x ≈ 28.7
The wire is approximately 28.7 meters long.
Answer:
E. (You always start with the given statement)
C.
A.
D.
B.
Step-by-step explanation:
The first line is given and therefore goes with E. Given.
The second line comes from the definition of median.
It bisects the opposite side from the vertex is being drawn from: So we have FA=FB, BE=EC, and CG=GA.
Second box goes with C.
Third line says FA/FB=1, BE/EC=1, and CG/GA=1.
How did they get this. It looks like they divided previous equation on both sides by right hand side's expression.
For example:
FA=FB
Divide both sides by FB you get:
FA/FB=FB/FB
FA/FB=1
So third line goes with A.
The fourth line is substitution property. 1=1(1)(1)=1(FA/FB)(BE/EC)(CG/GA). They replaced the 1's with what we had in the previous line.
Fifth line is Ceva's Theorem since it states that the FA:FB=BE:EC=CG:GA=1 implies the medians are concurrent.
Answer:
-1.5
Step-by-step explanation:
Step-by-step explanation:
2/2-10X-28=
2×2/2-2×10X-2×28=
2-20X-56=
6=6/6=1.
X-7=X-7
A. 2X+4=
2X/2+4/2=
x+2
B. 6=6/6=1.
C. 12X+24=
12X/12+24/12=
X+2.
6X=6X/6=X
Answer/Step-by-step explanation:
Let x hours be the number of hours Issac worked
x+6 hours be the number of hours Ruby worked
4(x+6) hours be the number of hours Svetlana worked.
x + x + 6 + 4(x+6) = 126
x + x + 6 + 4x +24 = 126
6x +30 = 126
6x = 96
x = 16
Therefore, Issac worked 16 hours.
Ruby worked 16+6 = 22 hours
Svetlana worked 22 × 4 = 88 hours.
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