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mathematics
basic technical mathematics

Questions and Answers of Basic Technical Mathematics

Solve the given quadratic equations using the quadratic formula. If there are no real roots, state this as the answer.x2 − 0.20x − 0.40 = 0
Solve the given quadratic equations by using the quadratic formula.4x = 9 − 6x2
Use a calculator to graph all three parabolas on the same coordinate system. Describe (a) the shifts of y = x2 that occur and (b) how each parabola opens.(a) y = x2 (b) y = −x2 (c) y =
Solve the given quadratic equations by completing the square.π2y2 + 2πy = 3
Solve the given quadratic equations by factoring.6z2 = 6 + 5z
Solve the given quadratic equations using the quadratic formula. If there are no real roots, state this as the answer.3.2x2 = 2.5x + 7.6
Solve the given quadratic equations by using the quadratic formula.25t = 24t2 − 20
Use a calculator to graph all three parabolas on the same coordinate system. Describe (a) the shifts and (b) the stretching and shrinking.(a) y = x2 (b) y = 3x2 (c) y = 1/3x2
Solve the given quadratic equations by completing the square.9x2 + 6x + 1 = 0
Solve the given quadratic equations by factoring.4x(x + 1) = 3
Solve the given quadratic equations using the quadratic formula. If there are no real roots, state this as the answer.0.29Z2 − 0.18 = 0.63Z
Solve the given quadratic equations by any appropriate algebraic method. If there are no real roots, state this as the answer.4x2 − 5 = 15
Find the trigonometric functions of θ. The terminal side of θ passes through the given point.(6, 8)
Express the given angle measurements in radian measure in terms of π.210°, 99°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.s = 915 mm, θ = 136.0°, r = ?
Determine the sign of the given functions.csc 98°, cot 82°
If tan θ = 0.2396, find θ, in degrees, for 0° ≤ θ < 360°.
Express the given trigonometric function in terms of the same function of the reference angle.sec 425°, sin(−520°)
Find the trigonometric functions of θ. The terminal side of θ passes through the given point.(−12, 5)
Express the given angle measurements in radian measure in terms of π.5°, 300°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.s = 0.3456 ft, θ = 73.61°, A = ?
Determine the sign of the given functions.cos 260°, csc 290°
If cos θ = −0.8244 and csc θ < 0, find θ in radians for 0 ≤ θ < 2π.
Express the given trigonometric function in terms of the same function of the reference angle.tan 920°, csc(−550°)
Find the trigonometric functions of θ. The terminal side of θ passes through the given point.(42, −12)
Express the given angle measurements in radian measure in terms of π.720°, −9°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.s = 0.3913 mi, r = 0.9449 mi, A = ?
Determine the sign of the given functions.sec 150°, tan 220°
If sin = − 6/7θ and cosθ > 0, find tanθ.
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.sin 195°
Find the trigonometric functions of θ. The terminal side of θ passes through the given point.(−0.2, −0.3)
Express the given angle measurements in radian measure in terms of π.−66°, 540°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.s = 319 m, r = 229 m, θ = ?
Determine the sign of the given functions.sin 335°, cot 265°
The floor of a sunroom is in the shape of a circular sector of arc length 32.0 ft and radius 8.50 ft. What is the area of the floor?
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.tan 311°
The given numbers express angle measure. Express the measure of each angle in terms of degrees. 3п 3п 5'2
Express the given trigonometric functions in terms of the same function of the reference angle.cos 132°, tan 194°
For an arc lengths, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.r = 3.8 cm, θ = 6.7, A = ?
Determine the sign of the given functions.cos 348°, csc 238°
The face of a flat wedge is a circular sector with an area of 38.5 cm2 and diameter of 12.2 cm. What is the arc length of the wedge?
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.cos 106.3°
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.sin 93.4°
The given numbers express angle measure. Express the measure of each angle in terms of degrees. 3п 11л 10' 6
Express the given trigonometric functions in terms of the same function of the reference angle.sin 243°, cot 318°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.r = 46.3 in., θ = 2π/5, A = ?
Determine the sign of the given functions.cot 110°, sec 309°
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.sec 328.33°
Express the given trigonometric functions in terms of the same function of the reference angle.sin 289°, sec (−15°)
The given numbers express angle measure. Express the measure of each angle in terms of degrees. ST 9 7ㅠ 4
The given numbers express angle measure. Express the measure of each angle in terms of degrees. 8п 4п 15' 3
The given numbers express angle measure. Express the measure of each angle in terms of degrees. 7п 5п 18 6
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.A = 0.0119 ft2, θ = 326.0°, r = ?
Determine the sign of the given functions.tan 460°, sin (−185°)
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.cot 516.53°
Express the given trigonometric functions in terms of the same function of the reference angle.cos 463°, csc (−100°)
The given numbers express angle measure. Express the measure of each angle in terms of degrees. π 40 5 п 4
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.A = 1200 mm2, θ = 17°, s = ?
Determine the sign of the given functions.csc (−200°), cos 550°
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.tan(−109.1°)
Express the given angle measurements in terms of π.40°, 153°
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.A = 165 m2, r = 40.2 m, s = ?
Determine the sign of the given functions.cot (−95°), cos 710°
In traveling three-fourths of the way around a traffic circle, a car travels 0.203 mi. What is the radius of the traffic circle? See Fig. 8.40. r = ? Fig. 8.40
The given angles are approximate find the values of the given trigonometric functions by finding the reference angle and attaching the proper sign.csc(−108.4°)
Express the given angle measurements in terms of π.22.5°, 324°
The given numbers express angle measure. Express the measure of each angle in terms of degrees. π Зп 15' 20
For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given values.A = 67.8 mi2, r = 67.8 mi, θ = ?
The given numbers express angle measure. Express the measure of each angle in terms of degrees. 97 號 2 4元 15
Determine the sign of the given functions.sin 539°, tan (−480°)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.cos(−62.7°)
Express the given angle measurements in terms of π.408°,−202.5°
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(2, 1)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.cos 141.4°
The given numbers represent angle measure. Express the measure of each angle in degrees. 7개 13개 는 5 18
Express the given angle measurements in terms of π.12°,−162°
The latitude of Miami is 26° N, and the latitude of the north end of the Panama Canal is 9° N. Both are at a longitude of 80° W. What is the distance between Miami and the Canal? Explain how the
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(−5, 5)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.sin 310.36°
Express the given angles in radian measure. Round off results to the number of significant digits in the given angle.84.0°
The central angle corresponding to the part of a belt making contact with the larger pulley in Fig. 8.41 is 213°. Find the length of the belt in contact with the pulley if its radius is 4.50 in.
The given numbers represent angle measure. Express the measure of each angle in degrees. 3п 8 7п 20
The given numbers represent angle measure. Express the measure of each angle in degrees. 11m ㅠ ㅠ 15' 6
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(−2,−3)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.tan 242.68°
The given numbers represent angle measure. Express the measure of each angle in degrees. 27 T5n 10 4
Express the given angles in radian measure. Round off results to the number of significant digits in the given angle.54.3°
A pizza is cut into eight equal pieces, the area of each being 88 cm2. What was the diameter of the original pizza?
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(16,−12)
A cam is in the shape of a circular sector, as shown in Fig. 8.42. What is the perimeter of the cam? Fig. 8.42 165.58⁰ 1.875 in.
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.csc 194.82°
Express the given angles in radian measure. Round off results to the number of significant digits in the given angle.252°
When between 12:00 noon and 1:00 p.m. are the minute and hour hands of a clock 180° apart?
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(−0.5, 1.2)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.sec 441.08°
Express the given angles in radian measure. Round off results to the number of significant digits in the given angle.104°
Find the trigonometric functions of θ if the terminal side of θ passes through the given point. All coordinates are exact.(−39,−80)
The given angles are approximate find the values of the given trigonometric functions directly from a calculator.tan 148.25°
The given numbers represent angle measure. Express the measure of each angle in degrees.0.560
Express the given angles in radian measure. Round off results to the number of significant digits in the given angle.−333.5°

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