Step-by-step explanation:
here,
x°+15°=5x°-41°[being vertically opposite angle]
15°+41°=5x°-x°
56°=4x°
thus,x=14°
<h3>hence,the value of x is 14°.</h3><h2>I hope this will help you.</h2><h2>please mark my answer as BRAINLIEST if you liked it....</h2>
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
#SPJ1
ANSWER
Option B
and
Option D.
EXPLANATION
The graph of the function has an amplitude of 2 and a period of
Choose all the equation that has an amplitude of 2 and a period of
These are:
and
The second and the last options are correct.
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: 
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
There are105 different choices.
For 1 appetizer, there are 15 different combinations of entrees and desserts. 1 dessert has 5 entrees you can mix, and since there are 3 desserts, there are 15 choices. It goes the same for every appetizer until there is 7x15. 7Ax15choices equals 105 options.
The customer has 105 meal choices.
