Answer:
a) 2/5
b) 1/3
c) 3/10
Step-by-step explanation:
a)12;30
= 12/30
= 2/5
b)9;27
= 9/27
= 1/3
c) 15;50
= 15/50
= 3/10
Answer:
Step-by-step explanation:
Let AC = x
AB - AC = 4 cm
AB = 4 +x ----------------(I)
Pythagorean theorem
AB² + AC² =BC²
(4 + x)² + x² = 9²
Use the identity (a + b)² = a² + 2ab + b² where a = 4 & b = x
4² +2*4*x +x² + x²= 81
16 + 8x + 2x² = 81
2x² + 8x + 16 - 81 = 0
2x² + 8x - 65= 0
a = 2 ; b = 8 ; c = -65
D = b² - 4ac
= 8² - 4*2*(-65)
= 64 + 520
D = 584
√D = √584 = 24.16
{Ignore this as it is negative.}
x = 16.16/4
x = 4.04
AC = 4.04 Cm
AB = 4 + 4.04 = 8.04 cm
Area of triangle ABC = 
= 16.24 sq.cm
Answer:
9
Step-by-step explanation:
Igor's taxable income is the difference between the amount
he earns annually and the amount he earns as exemptions.
Response:
- The amount he pays in annual state income tax is;<u> $1,497</u>
<h3>Which methods are used to calculate income tax?</h3>
Given;
Annual earnings = $57,900
State tax rate = 3%
Amount earned in exemption = $8,000
Required:
The amount Igor pays in annual state income tax.
Solution;
Taxable Income = Annual Income - Exemptions
Therefore;
Igor's taxable income = $57,900 - $8,000 = $49,900
Taxable Income × Tax rate = Amount paid as tax
- The amount he pays is therefore; $49,900 × 3% = <u>$1,497</u>
Learn more about income tax here:
brainly.com/question/25278778
Answer:
graph -2x-2 as a solid line then shade the graph in above that line.
Step-by-step explanation:
