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3 years ago

The surface area of a ball is 3,600 square millimeters. What is the balls radius

1 answer:

4 0

$A = 4 \pi r^2$

$3600 = 4\pi r^2$

$\dfrac{3600}{4 \pi} = r^2$

$r^2 = 286.479$

$r = 16.9$

Answer: The radius is 16.9 mm.

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How do you solve -178=-5x+4(-4x-13)

Effectus [21]

Answer:

x = 6

Step-by-step explanation:

Pull out like factors:

-4x - 13 = -1 • (4x + 13)

Equation at the end of step 2:

-178 - (-5x + -4 • [4x + 13] ) = 0

Pull out like factors:

21x - 126 = 21 • (x - 6)

Equation at the end of step 4:

21 • (x - 6) = 0

Solve:

x-6 = 0

Add 6 to both sides of the equation:

x = 6

5 0

3 years ago

A dry cleaner charges $18 to clean 4 pairs of pants. How many pairs of pants can be cleaned for $27 at the same rate?

blondinia [14]

4 pairs of pants for $18.

Divide price by quantity to get the cost of 1 pair of pants:

18 / 4 = 4.50 per pair.

Divide 27 by 4.50 to find number of pairs:

27 / 4.5 = 6

6 pairs of pants can be cleaned for $27.

5 0

3 years ago

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers

Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ = (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0

3 years ago

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Viktor [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

4 0

2 years ago

10 + 10 =20 the answer is 20

Mice21 [21]

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers