<u>Answer </u>
7
<u>Explanation. </u>
The triangle shown is a right triangle. One of the acute angles is given as 45°. Angles in a triangle add up to 180°
So we can get the third angle of the triangle as follows:
180 - (90+45) = 45.
From this we can conclude that, apart from the triangle being an right triangle, it is also isosceles triangle. This means that the two shorter sides of the triangle are equal.
So, the value of x is 7.
The option A and B would be wrong since it was less than the minimum value of the function. To find the cost, you just need to replace the x variable with time after 2005.
If the time is 2025 it will be
x= 2025-2005= 20
y = 15.7x + 459
y = 15.7(20) + 459
y = 314+ 459 = <span>$773.00
</span>
If the time is 2030 it will be
x= 2030-2005= 25
<span>y = 15.7x + 459
</span><span>y = 15.7(25) + 459
</span>y = 392.5+ 459 =<span>$851.50</span><span>
</span>
Answer:
D
Step-by-step explanation:
Given
- 3 ÷ - 
Leave the first number, change division to multiplication and turn the fraction upside down, that is
= - 3 × - 
= 
= 
= 7 
→ D
Answer:
a
Step-by-step explanation:
Answer:
Explanation:
You are comparing irrational numbers.
By inspection, i.e. at first sight you can only compare 
because they have the same radicand.
You can order: 
You can introduce the 2 inside the radical by squaring it:
Since 5 is between 3 and 12, you can order:
Which is:
You must know that π ≈ 3.14.
5 is less than 9 and the square root of 9 is 3; hence, 
and 
Now you must determine whether π is less than or greater than 
Using a calculator or probing numbers between 3 and 4 you get 
Hence, the complete order is:
