Answer:568.58
Step-by-step explanation:
Tan(35)=h/1200
1200tan(35)=h
568.57766=h
568.58
Answer:
See explanation
Step-by-step explanation:
First, convert this to standard form. By completing the square, you can do the following:
This is a circle with center (-1,-2), and radius 7. It looks like the one I graphed below. Hope this helps!
Answer:
r>6
Step-by-step explanation:
5(6+3r) +7>127
30+15r+7>127
37+15r>127
15r>127-37
15r>90
r=6
Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.
