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Novay_Z [31]
2 years ago
15

(a) If cos² (34°) - sin² (34°) = cos(A°),then A = degree’s

Mathematics
1 answer:
krok68 [10]2 years ago
3 0

~~~~~~~\cos^2 \left(34^{\circ}\right) - \sin^2 \left( 34^{\circ} \right)=\cos A\\\\\implies \cos \left( 2 \cdot 34^{\circ} \right) = \cos A~~~~~~~~~~~~~;[\cos 2x = \cos^2 x -\sin^2 x]\\\\\implies \cos \left(68^{\circ}\right) = \cos A\\\\\implies A = 68^{\circ}

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Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy
sleet_krkn [62]

Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

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y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

y represent the number of baskets made and x represents the time take. Given that the line passes through the points  (0, 11) and (100, 33), hence:

y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y=  \frac{11}{50}x+11

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

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