Is cos 314 positive, negative or zero

What is the solution to the inequality? −4x−8>−20 pls hurry

Sergeu [11.5K]

Answer:

x < 3

Step-by-step explanation:

−4x−8>−20

Add 8 to each side

−4x−8+8>−20+8

-4x> -12

Divide each side by -4, remembering to flip the inequality

-4x/-4 < -12/-4

x < 3

3 0

3 years ago

What is the common list multiple of 24 and 18 show your work

kifflom [539]

Answer:

24=1,2,3,4,6,8,12,24

18=1,2,3,6,9,18

3 0

3 years ago

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Confused on this work

Anit [1.1K]

We know that :

⊕ Sum of the interior angles in a Pentagon should be equal to 540°

⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°

⇒ (5x)° = 540° - 180°

⇒ (5x)° = 360°

$\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}$

⇒ x° = 72°

7 0

3 years ago

The surface area of a sphere with radius R can be calculated using the formula S=4pi*r^2. Write a formula showing r's dependence

son4ous [18]

Step-by-step explanation:

your expression for the dependence of r on S is correct

4 0

2 years ago

small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is 5400 

4 0

3 years ago

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