First you need to convert then to the same units. So 3yd 1ft would be equal to 10 ft. Then you need to convert the feet to inches. 10ft x 12 is equal to 120 inches.
120 inches is greater that 100 inches.
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°
Answer:
(1,4) or 1 < x < 4
Step-by-step explanation:
3 = less than 2x + 1 and 2x + 1 is less than 9
we can split the two parts of the equation
3< 2x + 1 and 2x + 1 < 9
for 3< 2x + 1 x has to be greater than 1
for 2x+ 1 < 9 x has to be less than 4 so the answer is (1,4) or 1 < x < 4
Answer:
length of wire required to
fence is 175.84 cm
4 times
Step-by-step explanation:
P=2rπ
r=56cm/2
r=28cm
P=2*28*3.14
P=175.84cm
704m/175.84 cm= 4
