Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem
Taking square root on both sides
Hence,
Length of diagonal of picture = 15.30 inches
Combine the two sets to form one giant set. If needed, toss out any duplicate values.
So,
A U B = {4,7,10,13,17, 3,5,7,9}
Toss out the duplicate item "7" and sort the values to get
A U B = {3,4,5,7,9,10,13,17}
Answer:
-2, b, a+c
Step-by-step explanation:
Answer: 103 mm
Step-by-step explanation: The conversion factor from centimeters to millimeters is 10, which means that 1 centimeter is equal to 10 millimeters: 1 cm = 10 mm. To convert 103 centimeters into millimeters we have to multiply 103 by the conversion factor in order to get the length amount from centimeters to millimeters.
<span>3) This one is a little different, since you're finding the angle instead of the side. You can denote the angle to be the variable x. Thus:
cos x = 14 / 26
Use a calculator to divide out 14/26, then round to four decimals.
cos x = 0.5385
Now go to the cosine chart and find which angle has the cosine 0.5385. It's a strange problem they gave you, because the chart doesn't have a value that matches it (kind of confusing if you ask me). But you can find two angles it is between. Notice that cos 57° = 0.5446 and cos 58° = 0.5299. Thus, the angle must be between those two. It turns out it is closer to 57°, so you can say:
x = 57° </span>
