2. A parallelogram must be a rhombus when its (2 pts)

Solve the “and” compound inequality for –1 < 6x + 1 ≤ 13

ser-zykov [4K]

Answer:

-1/3 < x <(or equal to) 2

Step-by-step explanation:

Firstly divide your inequality into two separate inequalities...

1) -1 < 6x + 1...then solve for the first one..,which then gives you....;

-2 < 6x....which gives us our first solution (x > -1/3)

Then the second inequality

2) 6x + 1 <(or equal to) 13

which then gives you....,

6x <(or equal to) 12...which then gives our second solution...( x <(or equal to) 2)

Then combine the two solutions into a compound solution

-1/3 < x <(or equal to) 2

8 0

3 years ago

A right circular cylinder has a volume of 1 cubic meter and a height of 0.6 meters what is the radius of the cylinder to the nea

lapo4ka [179]

The volume formula of a cylinder is :

$V=\pi r^2h$

From the problem, the volume is 1 m^3 and the height is 0.6 m.

Substitute the given to the formula :

$\begin{gathered} 1=\pi r^2(0.6) \\ 1=3.14(0.6)r^2 \\ r^2=0.53 \end{gathered}$

Take the square root of both sides of the equation :

$\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}$

The answer is r = 0.728 m

8 0

1 year ago

WILL MARK THE BRAINLIEST!! PLEASE HELP If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1. Question 5 options: A) 27° B) 63° C) 61° D

Yakvenalex [24]

Answer:

A. 27°

Step-by-step explanation:

Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:

m<1 + m<2 = 90°

3x + (5x + 18) = 90°

Solve for x using this equation

3x + 5x + 18 = 90

8x + 18 = 90

Subtract 18 from both sides

8x + 18 - 18 = 90 - 18

8x = 72

Divide both sides by 8

x = 9

Find m<1

m<1 = 3x

Plug in the value of x

m<1 = 3(9) = 27°

5 0

3 years ago

7x10^7 in standard form

Nikolay [14]

70000000 the reason that this is the answer to this is because if multiply 10 by 7 you will have 70 and just add 6 zeros

4 0

3 years ago

The stockroom has eight boxes of no. 10 hex head cap screws. how many screws of this type are in stock if the boxes contain , ,

Bezzdna [24]

The number of screws of this type in stock is 80

<h3>How to determine the number of screws of this type are in stock?</h3>

The given parameters are:

Boxes = 8

Hex head cap screws = 10

The number of screws of this type are in stock is

Count = Boxes * Hex head cap screws

Substitute the known values in the above equation

Count = 8 * 10

Evaluate the product

Count = 80

Hence, the number of screws of this type in stock is 80