Problem_Solving_03

30問 • 1年前

Jacky Shane Luyas Buhia

通報

問題一覧

The equation of whose roots are the reciprocal of the roots of 2x³ - 3x - 5 = 0 is

A. 5x² + 3x - 2 = 0

The linear distance between -4 and 17 on the number line is

B. 21

Find the distance between A (4,-3) and B (-2,5).

C. 10

If the distance between points (3,y) and (8,7) is 13, then y is equal to

D. -5 or 19

Find the angle between the lines 3x + 2y = 6 and x + y = 6.

B. 11°19'

The sum of two numbers is 21 and one number is twice the other. Find the numbers.

B. 7, 14

Debbie is now twice as old as Jerry. Four years ago, Debbie was three times as old as Jerry then. How old is Debbie?

B. 16

A tank is filled with an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the empty tank?

B. 4 hours

In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and Chemistry?

C. 12

How many sides are in a polygon if each interior angle is 165 degrees?

B. 24

What is the number of permutations of the letters in the word BANANA?

B. 60

Roll two dice once. What is the probability that the sum is 7 ?

A. 1/6

A rhombus has diagonals of 32 and 20 inches. Determine its area.

C. 320 in²

In triangle ABC, angle A = 45° and C = 70°. The side opposite angle C is 40 m long. What is the length of the side opposite angle A?

D. 30.1 m

The sum of the interior angles of a polygon is 540°. Find the number of sides.

C. 5

The area of a circle is 89.42 sq. inches. What is its circumference?

B. 33.52 in.

A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. Determine the length of the wire and the angle it makes with the pole.

D. 25 ft, 36.87°

What is the x-intercept of the line passing through (1,4) and (4,1)?

B. 5

Find the partial derivatives with respect to x of the function xy² - 5y +6.

B. y²

Find the radius of the curvature of a parabola y² - 4x = 0 at point (4,4).

A. 22.36 units

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find the value of x when y = 16 and z = 4.

C. 16

What is the discriminant of the equation 4x² = 8x - 5?

B. -16

The sum of Kim's and Kevin's ages is 18. In 3 years, Kim will be twice as old as Kevin. What are their ages now?

B. 5, 13

Find the distance between the given lines 4x - 3y = 12 and 4x - 3y = -8

B. 4

Find the distance between the lines 3x + y - 12 = 0 and 3x + y - 4 = 0.

D. 8 / √10

( a - b )³ =

D. a³ - 3a²b + 3ab² - b³

What are the coordinates of the center of the curve x² + y² - 2x - 4y - 31 = 0 ?

C. ( 1 , 2 )

If cos 65° + cos 55° = cos θ, find θ in radians.

B. 0.087

If sin 3A = cos 6B, then

B. A + 2B = 30°

If sin A = 2.511x, cos A = 3.06x and sin 2A = 3.939x, find the value of x ?

B. 0.256

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問題一覧

The equation of whose roots are the reciprocal of the roots of 2x³ - 3x - 5 = 0 is

A. 5x² + 3x - 2 = 0

The linear distance between -4 and 17 on the number line is

B. 21

Find the distance between A (4,-3) and B (-2,5).

C. 10

If the distance between points (3,y) and (8,7) is 13, then y is equal to

D. -5 or 19

Find the angle between the lines 3x + 2y = 6 and x + y = 6.

B. 11°19'

The sum of two numbers is 21 and one number is twice the other. Find the numbers.

B. 7, 14

Debbie is now twice as old as Jerry. Four years ago, Debbie was three times as old as Jerry then. How old is Debbie?

B. 16

A tank is filled with an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the empty tank?

B. 4 hours

In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and Chemistry?

C. 12

How many sides are in a polygon if each interior angle is 165 degrees?

B. 24

What is the number of permutations of the letters in the word BANANA?

B. 60

Roll two dice once. What is the probability that the sum is 7 ?

A. 1/6

A rhombus has diagonals of 32 and 20 inches. Determine its area.

C. 320 in²

In triangle ABC, angle A = 45° and C = 70°. The side opposite angle C is 40 m long. What is the length of the side opposite angle A?

D. 30.1 m

The sum of the interior angles of a polygon is 540°. Find the number of sides.

C. 5

The area of a circle is 89.42 sq. inches. What is its circumference?

B. 33.52 in.

A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. Determine the length of the wire and the angle it makes with the pole.

D. 25 ft, 36.87°

What is the x-intercept of the line passing through (1,4) and (4,1)?

B. 5

Find the partial derivatives with respect to x of the function xy² - 5y +6.

B. y²

Find the radius of the curvature of a parabola y² - 4x = 0 at point (4,4).

A. 22.36 units

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find the value of x when y = 16 and z = 4.

C. 16

What is the discriminant of the equation 4x² = 8x - 5?

B. -16

The sum of Kim's and Kevin's ages is 18. In 3 years, Kim will be twice as old as Kevin. What are their ages now?

B. 5, 13

Find the distance between the given lines 4x - 3y = 12 and 4x - 3y = -8

B. 4

Find the distance between the lines 3x + y - 12 = 0 and 3x + y - 4 = 0.

D. 8 / √10

( a - b )³ =

D. a³ - 3a²b + 3ab² - b³

What are the coordinates of the center of the curve x² + y² - 2x - 4y - 31 = 0 ?

C. ( 1 , 2 )

If cos 65° + cos 55° = cos θ, find θ in radians.

B. 0.087

If sin 3A = cos 6B, then

B. A + 2B = 30°

If sin A = 2.511x, cos A = 3.06x and sin 2A = 3.939x, find the value of x ?

B. 0.256