Answer:
14.04°
Step-by-step explanation:
In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.
The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:

To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.
A square has 4 sides so, 4(26.25) = 105
Hope this helps!
Answer:
The price of one pound of bell peppers is $0.6.
Step-by-step explanation:
This problem is equivalent to the following:
<em>"if 10 oranges cost $20, how much does 1 orange cost? "</em>
and the answer to that question is:
price of 1 orange = $20/ 10 oranges = $2 per orange.
Put simply, we divided the total price by the total number of items, and we shall do the same thing for the case of bell peppers:
price of 1 pound = $1.25/ 2.5 pounds = $0.5/ pound.
The price for 1 pound of bell peppers is $0.5.
Answer:
x = 20/9
Step-by-step explanation:
We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer
So, you had done everything right so far (other than squaring the 2), but that was only half of the question.
to find the least common multiple, you need to first figure out what the prime factors have in common.

each have two twos. both have one 5, so we know our answer will look something like

now to figure out the other stuff... we have to represent the greatest amount of everything that is left, and we have 3s and 7s left over, so we need to figure out how many of each we need.
one has one 3 and one has two, so we need two threes. now our equation is

what's the only number we have to deal with? 7...
how many sevens does 60 have? 0, and 630 has 1, so we know we need one 7. our answer becomes