For this case we have that the area is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting we have:
66 = (w) * (w + 5)
Rewriting
w ^ 2 + 5w - 66 = 0
(w + 11) * (w-6) = 0
Using the positive root we have:
w = 6
Answer:
the width of the frame is:
w = 6 cm
Answer: 5=log_{2}(32)5=log
2
(32)
Step-by-step explanation:
1. By definition, you have if y=b^{x}y=b
x
, then x=log_{b}(y)x=log
b
(y)
2. Keeping this on mind, you must follow the proccedure shown below:
- You have that:
2^{5}=322
5
=32
Where:
\begin{lgathered}x=5\\y=32\\b=2\end{lgathered}
x=5
y=32
b=2
- Substitute values into x=log_{b}(y)x=log
b
(y) . Then, you obtain:
5=log_{2}(32)5=log
2
(32<em><u>)</u></em>
I can help you with #20. For example, lets say 3/5, this fraction would be made up of 5 parts and 3 are covered, which doesn't make it full, if it was 5/5 it would be full. When you do something with a reciprocal you turn it over, so 3/5 would be turned over to 5/3, thus making it a whole number
Answer: 15.59 or 9√3
Step-by-step explanation:
We can use the Pythagorean Theorem to calculate the third side.
c² = a² + b² In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.
c is the hypotenuse. a is the short leg
18² = 9² + b²
324 = 81 + b² Subtract 81 from both sides.
324 - 81 = b² becomes b² = 243 Take the square root of both sides
b = 15.5884 . This can be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.
The proportions of the sides of the 30 60 90 triangle can also be used:
2² = 1² + b²
4 = 1 + b²
3 = b²
√3 = b
You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle
Answer
6/5 and 17/8
Step-by-step explanation:
1 1/5 = 6/5
1= 5/5 + 1/5 = 6/5
2 1/8 = 17/8
2 = 16/8 + 1/8 = 17/8
