Let's use ratio and proportion or rates to solve thisIf there is 5/6 cup of cinnamon in a 3/4 pound of spice mix, how many are in a pound?5/6=3/4 ?=11/ (3/4)*5/6=11/9Therefore there are 10/9 cups of cinnamon in 1.111... or 11/9 pounds of spice mix.
123 is a linear pair with the inside angle so
180-124= 57. Now we have two inside angles and a triangle has to be 180 degrees so
57+42=99 we know that both angles equals 99 so
180-99=80. The third angle is 81 and is a linear pair with x soooo
180-81=99
X is equal to 99. You can also do corresponding angles and have X be 99 because of the inside angle that’s also 99
Answer:
<h2>x = 10.3</h2>
Step-by-step explanation:
Use sine.

We have:

<em>look at the table in the picture</em>
Substitute:
<em>multiply both sides by 16</em>

By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression
is equivalent to the <em>trigonometric</em> expression
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression
is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
#SPJ1
Answer: 3
Step-by-step explanation:
Volume = pir2h/3