The first mistake was made in step 1 because they took out the x’s it should be 10x-25+2x+8=43
Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
1 mm = 0.1 cm
(a) 5 mm
5 × 0.1 = 0.5
Fraction :- 5/0.5
5 ÷ 0.5 =10
Decimal:- 10
(b) 8 mm
8 × 0.1 = 0.8
Fraction:- 8/0.8
8 ÷ 0.8 = 10
Decimal:- 10
A. After the mod. One wall is “x” longer than original (horizontal in diagram) and the other is “x” shorter (vertical)
(30+x)(30-x)
b. He original area = 30 x 30 = 900 sq. ft.
The mod. Area is (30+6)(30-6) = 36x24= 764 sq. ft.
So the room was largest to begin with when it was a square
The distance between the two points (-1, 4) and (5, 4) is 6 units.
<u>Step-by-step explanation:</u>
The given Coordinate points are (-1, 4) and (5, 4).
The points are considered as (x1,y1) and (x2,y2).
Here,
x1 = -1 and x2 = 5
y1 = 4 and y2 = 4
<u>The distance formula is given by :</u>
Distance = 
<u>To find the distance between these two points :</u>
The distance formula is used,
Distance = 
⇒ √(6)²
⇒ √36
⇒ 6
Therefore, the between the points is 6 units.