Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
The slope of the linear regression equation y = 61. 93x - 1. 79 is attached with the response.
<h3>What is linear regression?</h3>
Linear regression is the most primary and generally used predictive research. Regression calculations are utilised to represent data and to describe the association.
The slope of the linear regression equation represented in the graph is the straight-line cutting the intercepts on the y axis at 1.79.
To know more about linear regression follow
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You would need to know the dimensions of the pyramid and wether it was triangle or square bottomed
Answer:
The answer is option D.
Step-by-step explanation:
cos M = adjacent / hypotenuse
From the picture
b is the adjacent
x is the hypotenuse
so
cos M = b/x
Hope this helps you
Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° =
=
=
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD =
≈ 20.92 cm
using the sine rule in Δ BCD
=
, that is
=
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD =
≈ 26.0 cm ( to 3 significant figures )