Answer:
x = 11
Step-by-step explanation:
2(x - 5) = 12 ← divide both sides by 2
x - 5 = 6 ( add 5 to both sides )
x = 11
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
Answer:
V = 272.3 cube units
The surface area is 418.34 square units
Answer:
Mistake: -3-5=-2, -3-5=-8
Step-by-step explanation:
-3-(7x+5)+9x=-8+3x+10
-3-7x-5+9x=4x+2
-8+2x=4x+2
-8-2=4x-2x
-10=2x
-10/2=x
-5=x
Answer:
The proportion is 
= 
, and the length of the unknown side is 
or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is . MK and KF are corresponding sides, and their proportion is in which x represents the missing side. The proportions are equal, so = . Multiply both sides by 84 to isolate the variable, and you'll get 
, which is 
or .
