Answer:
x = 5
Step-by-step explanation:



A full rotation is represented by 360 degrees or 2pi radians, so
2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad). (Simplify these.)
Answer:
(x+6)(y+3)
Step-by-step explanation:
- xy + 3x + 6y + 18
- x(y + 3) + 6(y+3)
- <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
The Inequality representing money she can still spend on her friend birthday gift is .
Jordan can still spend at most $30 on her friends birthday gift.
Step-by-step explanation:
Given:
Total money need to spend at most = $45
Money spent on Yoga ball = $15
We need to find how much money she can still spend on her friend birthday gift.
Solution:
Let the money she can still spend on her friend birthday gift be 'x'.
So we can say that;
Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.
framing in equation form we get;
The Inequality representing money she can still spend on her friend birthday gift is .
On solving the the above Inequality we get;
we will subtract both side by 15 using subtraction property of Inequality.
Hence Jordan can still spend at most $30 on her friends birthday gift.
Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.