Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Answer:
The perimeter will be 30
Step-by-step explanation:
Perimeter = all side lengths added
Step 1. Determine the length of the triangle
Answer: 5
Step 2. Determine the width of the triangle
Answer: 12
Step 3. Determine the diagonal line across the triangle
Answer + explanation:
For it to figure it out, we must use this method called Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
Where a = 12 b = 5 and c = the diagonal line
12^2 + 5^2 = c^2
144 + 25 = c^2
c^2 = 169
c = 13
The diagonal line measures 13 units
Step 4. Add all of the dimensions we just reviewed
Answer:
Length = 5
Width = 12
Diagonal line = 13
5 + 12 + 13 = perimeter
perimeter = 30
Therefore, the perimeter is 30
Answer:
y =47.5.
Step-by-step explanation:
First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:
21* 6[y-2]/7-21*12 = 21*2[y-7]/3
18(y - 2) - 252 = 14(y - 7)
18y -36 - 252 = 14y - 98
18y - 14y = -98 + 36 + 252
4y = 190
y = 190/4
y = 47.5.
2x+x-7+3x-20=87cm
6x-27=87
6x=114
x=19
Therefore the sides are:12cm, 38cm, and 37cm
Answer:
B could be used to show the formula to describe the sentence
