Answer:
let a = x² (a ≥ 0), we have the equation:
a² + a + 1 = 0
⇔ a² + 2.1/2.a + 1/4 + 3/4 = 0
⇔ (a + 1/2)² = -3/4 (unreasonable)
=> no solutions
Step-by-step explanation:
Answer:
x = -
= - 62.5
Step-by-step explanation:
Given
x = - 25
Multiply both sides by 5 to clear the fraction
2x = - 125 ( divide both sides by 2 )
x = -
= - 62.5
Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).
1. <em>Total angle = (n - 2) * 180 --> 4 * 180 = 360°</em>
<em>70 + 130 + 120 + θ = 360</em> --> 320 + θ = 360 --> θ = 40
4. Total angle =<em> (10 - 2) * 180</em> --> 8 * 180 = <em>1440</em>
<em>1440/10</em> = 144°
6. Interior: (n - 2) * 180 --> 10 * 180 = 1800
Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360
9. (n - 2) * 180 --> 3 * 180 = 540
90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50
13. Interior: (n - 2) * 180 --> 2 * 180 = 360
Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)
16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15
<span><span>Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
</span><span>Step 2: Multiply both top and bottom by that number.
</span><span>Step 3.Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)</span></span><span>
Hope i helped :[)</span>
Answer:
= 20 ft
Step-by-step explanation:
The perimeter is found by
P = 2(l+w)
= 2(6+4)
=2(10)
= 20 ft