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2 years ago

4+ 2 sin x=14-8 sin x for 0° < x < 180°

Mathematics

2 answers:

jonny [76]2 years ago

6 0

Answer:

x=90° hope this helps ;)

Neporo4naja [7]2 years ago

3 0

Answer:

x = 90° or π/2 rad

Step-by-step explanation:

4+ 2 sin x=14-8 sin x

2 sin x + 8 sin x = 14 - 4

10 sin x = 10

sin x = 1

Using a calculator

x = sin $sin^{-1}$ 1

x = 90° or π/2 rad

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Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theres

shepuryov [24]

Answer:

Theresa's height is 60 inches

Step-by-step explanation:

The given parameters are;

The height of Paul = The height of Steve

Paul's height = $1\dfrac{1}{2}$ times Theresa's height - 16 inches

Steve's height = $1\dfrac{1}{3}$ times Theresa's height - 6 inches

Let 'T' represents Theresa's height, we have;

Paul's height = $1\dfrac{1}{2}$ ×T - 16

Steve's height = $1\dfrac{1}{3}$ ×T - 6

Paul's height = Steve's height

Therefore;

$1\dfrac{1}{2}$ ×T - 16 = $1\dfrac{1}{3}$ ×T - 6

$1\dfrac{1}{2}$ ×T - $1\dfrac{1}{3}$ ×T = 10

$#\dfrac{3}{2}$ ×T - $\dfrac{4}{3}$ ×T = 10

$\dfrac{1}{6}$ ×T = 10

T = 10 × 6 = 60

Theresa's height, T = 60 inches

5 0

2 years ago

I need to find the median ,mean,mode,range,and

Makovka662 [10]

Median: 23.5
12 and 35 are in the middle so you add them and divide by 2, leaving you
23.5 as your median.
Mean: 41.3
Add all numbers together and divide the sum by the number of numbers added. So all numbers added together equals 413. Divide by ten the nuber of numbers added. 413/10 equals 41.3.
Mode: 99
The number that appears most often. In this case, 99 would be the mode.
Range: 98
The lowest number subtracted from the highest number. 99-1 equals 98.
IQR: 84.75

Hope this helped! :)

8 0

3 years ago

Read 2 more answers

-x - 1 = 221 + 2x <br> plzzzzzzzzz help

Otrada [13]

$Simplifying
-1x + -1 = 221 + 2x

Reorder the terms:
-1 + -1x = 221 + 2x

Solving
-1 + -1x = 221 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-1 + -1x + -2x = 221 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-1 + -3x = 221 + 2x + -2x$
$Combine like terms: 2x + -2x = 0
-1 + -3x = 221 + 0
-1 + -3x = 221

Add '1' to each side of the equation.
-1 + 1 + -3x = 221 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 221 + 1
-3x = 221 + 1

Combine like terms: 221 + 1 = 222
-3x = 222

Divide each side by '-3'.
x = -74

Simplifying
x = -74$