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:
A. y=x+4
Step-by-step explanation:
I used Desmos to graph all the information and the black line (which is A) goes through all the points. See picture
4744 feet. work below. please mark brainliest.
12/15 divide both by 3=4/5
48/56 divide both by 8 =6/7
28/36 divide by 4 = 7/9
15/40 divide by 5 = 3/8
<h2>
Answer:</h2>
The value of the constant in the equation below is:
B. 60
<h2>
Step-by-step explanation:</h2>
It is given in the graph that:
i.e. we may also say that:
We observe that the graph passes through (2,30) , (5,12) , (10,6) , (30,2)
So, by using any one point we may get the value of constant( since it is a fixed quantity)
Hence, using the point (2,30)
i.e. Width=2 and Height=30 we get:
Hence, the value of constant is:
60