Equation: 450 = 128 + 150 + n
work:
1st step:
128+150 = 278
2nd step:
450-278 = 172
answer: 172
3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450
Set up a simple equation with S FOR SALLY AND A FOR ANNA LOOKS LIKE THIS A+(A+.1)=3.16
<h2>
Greetings!</h2>
Answer:
B)
Step-by-step explanation:
Y intercept:
Simply substitute all the x values with 0:
When x = 0:
3(0) - 2y = 18
Move the - 2y over to the other side making it a +2y:
0 = 18 + 2y
Move the +18 over to the other side making it a -18:
-18 = 2y
Divide both sides by 2:
-9 = y
So y intercept is:
<h3> (0 , -9)</h3>
X - intercept:
Simply substitute all the Y's with 0:
3x - 3(0) = 18
3x = 18
Divide both sides by 3:
x = 6
So the X intercept is:
<h3>(6 , 0)</h3>
This means that your guess of B is correct.
<h2>Hope this helps! </h2>
I use the sin rule to find the area
A=(1/2)a*b*sin(∡ab)
1) A=(1/2)*(AB)*(BC)*sin(∡B)
sin(∡B)=[2*A]/[(AB)*(BC)]
we know that
A=5√3
BC=4
AB=5
then
sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
(∡B)=arc sin (√3/2)= 60°
now i use the the Law of Cosines
c2 = a2 + b2 − 2ab cos(C)
AC²=AB²+BC²-2AB*BC*cos (∡B)
AC²=5²+4²-2*(5)*(4)*cos (60)----------- > 25+16-40*(1/2)=21
AC=√21= 4.58 cms
the answer part 1) is 4.58 cms
2) we know that
a/sinA=b/sin B=c/sinC
and
∡K=α
∡M=β
ME=b
then
b/sin(α)=KE/sin(β)=KM/sin(180-(α+β))
KE=b*sin(β)/sin(α)
A=(1/2)*(ME)*(KE)*sin(180-(α+β))
sin(180-(α+β))=sin(α+β)
A=(1/2)*(b)*(b*sin(β)/sin(α))*sin(α+β)=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
KE/sin(β)=KM/sin(180-(α+β))
KM=(KE/sin(β))*sin(180-(α+β))--------- > KM=(KE/sin(β))*sin(α+β)
the answers part 2) areside KE=b*sin(β)/sin(α)side KM=(KE/sin(β))*sin(α+β)Area A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)
Answer:
48 hats and 104 shirts
Step-by-step explanation:
These are the equations you build from the problem:
h + s = 152
8.50h + 12s = 1656
This is how I solved them:
s= 152-h
8.5h + 12(152-h) = 1656
8.5h + 1824 - 12h = 1656
Solve for h
h= 48
Put this into first equation (h +s = 152) to get s
