The measure of angle bac can be calculated using the equation sine super negative 1 (startfraction 3.1 over 4.5 endfraction) equals x.

triangle a b c is shown. angle a c b is a right angle. the length of hypotenuse a b is 4.5 inches and the length of c b is 3.1 inches. angle c a b is x.

what is the measure of angle bac? round to the nearest whole degree.

0°
1°
44°
48°

Sin(angle) = Adjacent leg / Hypotenuse

Sin (x) = 3.1 / 4.5

X = arcsin(3.1/4.5)

x = 43.54

Round to nearest degree = 44 degrees

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204