Answer:
12
Step-by-step explanation:
3x + x + 42 = 90 ........ 4x = 48 ......x = 12
Say b, initial price, + 20,000.
y, price after x years = m years + 20,000.
m would be negative because the price would decline after x years.
Answer:
is in proportion.
is not in proportion.
is in proportion.
is in proportion.
Step-by-step explanation:
The first example is and it is in proportion.
This is because, you will get the same simplest fraction () from the fraction by dividing its numerator and denominator by 5.
The second example is and it is not in proportion.
This is because, you can not get the simplest fraction () from the fraction after simplification.
The third example is and it is in proportion.
This is because, you will get the same simplest fraction () from the fraction by dividing its numerator and denominator by 2 and from the fraction by dividing its numerator and denominator by 3.
The fourth example is and it is in proportion.
This is because, you will get the same simplest fraction () from the fraction by dividing its numerator and denominator by 5. (Answer)
Answer:
96
Step-by-step explanation:
hope it helps:)
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°