This is the concept of geometry, given that AB=AC, it means that the tirangle is isosceles, thus to get the value of AB and AC we proceed as follows;
thus using the cosine rule:
c^2=a^2+b^2-2abcosC
suppose\AB=AC=x
thus;
8^2=x^2+x^2-2*x*xcos15
64=2x^2-2x^2cos15
64=2x^2-1.9x^2
64=0.1x^2
x^2=640
x=sqrt640
x=25.3
hence;
AC=AB=25.3
<span>1. </span><span>Given equation = 2 thousands 7
tens / 10.
From this given equation, give the unit form and the standard form
Unit form is the expression where you replace the number with its place values.
=> 2 thousands and 7 tens divided by 1 tens.
=> 2 hundreds 7 ones – answer in unit form
Standard form is the expression which uses numbers and operators to express an
equation.
=> 2 070 / 10
=> 207 – answer in standard form</span>
Answer:
Correct answer: h = 3/5 or y = 3/5
Step-by-step explanation:
Given:
h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)
h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get
h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)
The terms 1/x and 1/x² when x strives ∞ they strives 0
x -> ∞ ⇒ 1/x -> 0 and x -> ∞ ⇒ 1/x² -> 0
h = (3 - 0 - 0) / (5 - 0 + 0)
Horizontal asymptote is h = 3/5 or y = 3/5
God is with you!!!
Answer:
1. $85
2. $90.10
3.$108.12
4.$54.06
Step-by-step explanation:
100-15=85 (15% of 100 is 15)
6 percent of 85 is 5.10. So 85 + 5.10=90.10
20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12
Now divide by 2 to get how much they each will pay 108.12/2 = 54.06