In ΔJKL, j = 520 inches, k = 730 inches and l=640 inches. Find the measure of ∠K to the nearest degree.

This it the test please do as fast as posible and show work. thank you and sorry

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

Answer:

x = 43

Step-by-step explanation:

Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)

x + x + 4 = 90

2x + 4 = 90 | Combine x's

2x = 86 | Subtract 4 from both sides

x = 43 | Divide both sides by 2

Answer:

6.25 ft

Step-by-step explanation:

The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25

Answer:

6.25ft

Step-by-step explanation:

Answer: 8y+12r

Step-by-step explanation:

Take the equation

2(4y)+4(3r)

Distribute the 2 and 4 into the parenthesis'

8y+12r

Answer:

-11, and -9 is the range for 1/2 and 0 respectively

Step-by-step explanation:

Answer:

1: 7/10

2: 3/10

3: 4/8 (2/4 or 1/2 if you need to simplify it)

Step-by-step explanation:

1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10

2: Convert 4/5 and 1/2 to tenths.

4/5 is going to be 8/10, 1/2 is going to be 5/10.

Subtract 5/10 from 8/10 to get 3/10

3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.

x² = 6² + 19²

x² = 36 + 361

x = √397

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

Answer:

74.4 (llllllllllll ignore this i need 20 characters to answer)

Answer:

I

Step-by-step explanation:

I need the box plot to do the problem

Answer:

I do not know the answer to this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

For this triangle, since the angle is included between 2 given sides, the formula will be:

[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]

Putting values where they belong:

[tex]A=\frac{1}{2}(10)(12)sin72[/tex]

Do all that in your calculator (in degree mode, NOT radian!) to get

A = 57.1 square cm

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8