Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:
To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.
Answer:
x = 9 and y = -3
Step-by-step explanation:
Let's say the first integer is x and the second one is y. Then, if we put the words into mathematical expressions, we get:
x = 15 + 2y
xy = -27
We can use substitution to solve this system of equations. We put 15 + 2y in for x in xy = -27:
(15 + 2y)*y = -27 ⇒ 2y² + 15y = -27 ⇒ 2y² + 15y + 27 = 0
Now, we have a quadratic to solve, so after some trial and error, we get:
(2y + 9)*(y + 3) = 0
Setting each of these to 0, we get two possible answers for y:
y = -9/2 or y = -3.
However, it says that y is an integer, so it can't be -9/2 and must be -3. We use this to find x:
x = 15 + 2*(-3) = 15 - 6 = 9
So, the two numbers are x = 9 and y = -3.
3rd choice is answer
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x be the Maximum and Minimum Sun Earth distance
The average distance between Earth and Sun is 93 million miles.
The distance varies by 1.6 million miles.
The equation to find the maximum and minimum value will be
When modulus function is used one value of the function will be positive and the other will be negative.
So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.
