Answer:
1) D
2) 10
Step-by-step explanation:
sin(30) = opposite/hypotenuse
sin(30) = 5/x
½ = 5/x
x = 5/0.5
x = 10
Answer:
3/4> 3/5 is true and correct
Answer:
A) 
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of
where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function
is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function
is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval: 
When we choose from the options,
The correct answer is option A) 
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>
180 - (33 + 41) = missing angle
180 - 74 = missing angle
<u>106</u>°<u> = missing angle</u>
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
<u>x = 22°</u>
Hope this helps!
Answer:


Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:

Using this function in a calculator (you may find it as:
), we have that:

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

So the values of x are:

