Answer:
x is approximately 48.2.
Step-by-step explanation:
Use the trig function of cosine, or adjacent over hypotenuse.
cos theta = adjacent / hypotenuse
Substitute variables.
cos x = 10 / 15
Apply inverse cosine to both sides.
x = cos^-1(10/15)
Evaluate.
x ≈ 48.2
Answer:
5
Step-by-step explanation:
If you mean a whole, sorry if its incorrect
Answer- 
Step-by-step explanation:
First, we will write and equation in point-slope form and then convert to slope-intercept form.
To use the point-slope form we must first determine the slope.
The slope can be found by using the formula :
<em>Where </em>
is the slope and 
) are the two points on the line.
Substituting the values from the points in the problem gives:
We can now use this calculated slope and either point to write the equation in point-slope form.
The point-slope formula states: 
Where is the slope and 
is a point the line passes through.
Again, substituting gives: 
We can now convert this to slope-intercept form.
The slope-intercept form of a linear equation is: 
Where is the slope and 
is the y-intercept value.
We can solve our equation for 
This took me so long to type lol, hope this helps you and have a great day noon or night! <3 ❤️
Answer:
(22÷2)-0! = 10
2+2+2+0! = 7
Step-by-step explanation:
(22÷2)-0!=
Divide 22÷2 first bc its inside the parenthesis, get:
11 - 0! Next evaluate the factorial (yes, exclamation mark is a mathematical operation and 0! equals 1)
11 - 1 subtract
10
Next, 2+2+2+0! =
2+2+2+1=
7
Answer:
26.59 minutes
Step-by-step explanation:
Let's say the time needed to do the driveway combined is x. Sue does y parts of the driveway, and Tom does z parts of the driveway. Combined, y + z = 100% = 1, as they finish the whole driveway.
Next, Tom will take 45 * z minutes to do his part of the driveway. For example, if he did 50% = 0.5 of the driveway, he would take 45 * 0.5 = 22.5 minutes to do it. Similarly, Sue will take 65 *y minutes to do her part of the driveway. Since they will finish at the same time, we can say
45 * z = 65 * y
y + z = 1
Therefore, if we subtract y from both sides of the second equation, we have
z = 1-y
We can then plug 1-y in for z in the first equation to get
45 * (1-y) = 65 * y
45 - 45*y = 65*y
add both sides by 45 * y to separate the y values and their coefficients
45 = 110 * y
divide both sides by 110 to find y
y = 45/110 = 0.409
Use 1-y=z to get z = 1-0.409 = 0.59
Therefore, 45*z = 26.59 = 65*y
