Answer:bc you asked her do she got dat wap
Step-by-step explanation:but dam
Answer: the jar contains 29 dimes and 25 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarters is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes contained in the jar.
Let y represent the number of quarters contained in the jar.
A jar containing only dimes and quarters contains a total of 54 coins.. This means that
x + y = 54
The value of all the coins in the jar is $9.15. This means that
0.1x + 0.25y = 9.15 - - - - - - - - - - - 1
Substituting x = 54 - y into equation 1, it becomes
0.1(54 - y) + 0.25y = 9.15
5.4 - 0.1y + 0.25y = 9.15
- 0.1y + 0.25y = 9.15 - 5.4
0.15y = 3.75
y = 3.75/0.15 = 25
x = 54 - y = 54 - 25
x = 29
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1 |Distributive
−x+6= 1 |SPOE (Subtraction Property of Equality)
−x= −5 |SPOE
x=5 |MPOE (Multiplication Property of Equality)</span>
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:
6 donuts
Step-by-step explanation:
first divide the cost of the donuts by the amount of donuts per box
6 donuts:
2.10 ÷ 6 = .35 per donut
12 donuts
5.40 ÷ 12 = .45 per donut
18 donuts
7.20 ÷ 18 = .40 per donut
24 donuts
12 ÷ 24 = .50 per donut
