An equivalent expression to 5/3

The measure of the supplement of an angle is 12 more than twice the measure of the angle. Find the measures of the angle and it'

astra-53 [7]

Supplementary angles add up to 180 degrees-

Let x = "the angle"

supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"

Supplement angle + "the angle" = 180 degrees

(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle

3x + 12 = 180 // Simplify

3x = 168 // Subtract 12 from both sides

x = 56 degrees // Divide both sides by 3

The measure of the angle is 56° and its supplement is 124°

3 0

3 years ago

The top of a 2.7m ladder, leaning against a wall, reaches a height of 1.6m. What angle, to the nearest degree, does the ladder m

VladimirAG [237]

So the hypotenuse is 2.7, and the opposite is 1.6.

We can use sine to find the angle.

sin(x) = (1.6)/(2.7)

Simplify:

sin(x) = 0.592592593

Plug this in your calculator to find the inverse of sine:

x = 36.34120312

So the angle is 36 degrees.

7 0

3 years ago

Read 2 more answers

In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied w

soldier1979 [14.2K]

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.

3 0

2 years ago

Plz help me I don’t understand this

Firlakuza [10]

The answer should be 31/10

3 0

2 years ago

Read 2 more answers

Anyone know the area?

Elina [12.6K]

Answer: The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = ( $\frac{1}{2}$ ) * b * h ;

in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;

= (13 cm * 5 cm) / 2 ;

= [ (13 * 5) cm²] / 2 ;

= 65 cm² / 2 ;

A = " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________

5 0

3 years ago

An equivalent expression to 5/3 - x + 1/3?