Answer:
c = $5,400
Step-by-step explanation:
Given:
c = 0.9s
where,
s = amount sold
c = commission on sales
How much commission will he or she earn if the amount sold is $6,000?
Find c when she = $6,000
c = 0.9s
= 0.9 × 6,000
= 5,400
c = $5,400
(c, s) (5400, 6000)
Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3
Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5
25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3
h = (214.5 - 25sqrt3() / 15
= 11.41 cm to nearest hundredth
Important: 35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:
</span><span>35x^2 + 12x − 36 = 0. Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.
I am assuming that you meant </span>35x^2 + 12x − 36 = 0.
If that is indeed the case, then a = 35, b = 12 and c = -36
and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.
Since the discriminant is positive, this equation has 2 real, unequal solutions. They are
-12 plus or minus sqrt(5184)
x = -----------------------------------------
2(35)
Answer:
m∠EGC=70°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
m∠EGC=(1/2)[arc EC+arc DF]
<u><em>Find the value of x</em></u>
we have
m∠EGC=(7x+7)°
arc EC=50°
arc DF=10x°
substitute and solve for x
(7x+7)°=(1/2)[50°+10x°]
14x+14=50+10x
14x-10x=50-14
4x=36
x=9
<u><em>Find the measure of angle EGC</em></u>
m∠EGC=(7x+7)°
substitute the value of x
m∠EGC=(7(9)+7)°=70°
Y-b/m=x (you just move everything to the other side)
