Answer:
78°
Step-by-step explanation:
From the diagram,
Applying sine rule,
SinA/a = sinC/c................... Equation 1
Given: c = 29 cm, C = 50°, a = 37 cm
Substitute into equation 1 and solve for A.
sinA/37 = sin50°/29
sinA = (37×sin50°)/29
sinA = (37×0.766)/29
sinA = 28.34/29
sinA = 0.9774
A = sin⁻¹(0.9774)
A = 77.8°
A ≈ 78°
Hence the measure of angle A = 78°
Answer:
45 minutes
Step-by-step explanation:
let after t hours they meet after the second runner starts.
15 minutes=1/4 hour.
6(t+1/4)=8t
6t+6/4=8t
8t-6t=6/4
2t=3/2
t=3/2* 1/2=3/4 hours=45 minutes
Let h = the number of horses in the field
Let c = number of cows in the field
There are 2 more horses than cows in the field. Therefore
h = c + 2
or
c = h - 2 (1)
There are 15 animals in the field. Therefore
h + c = 15 (2)
Substitute (1) into (2).
h + (h - 2) = 15
2h - 2 = 15
Answer:
The correct equation is
2h - 2 = 15
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
<h3>Transformation of function</h3>
Transformation is a techniques use to change the position of an object on an xy-plane.
Given the parent function f(x) = x² and the function g(x) = x²-12x +36
Factorize g(x);
g(x) = x²-6x-6x+36
g(x)=x(x-6)-6(x-6)
Group the terms to have;
g(x) = (x-6)²
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
Learn more on transformation here: brainly.com/question/4289712
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