Answer:
m>5
Step-by-step explanation:
Let's solve your inequality step-by-step.
m+4>9
Step 1: Subtract 4 from both sides.
m+4−4>9−4
m>5
We let
a1 = first term
a2 = second term
a3 = third term
and so on
We are given with
a1 + a2 = 26
S5 (sum of five terms) = 35
The formula for the sum of terms is
Sn = (a1 + an) (n/2)
SO
35 = (a1 + a5) (5/2)
The formula for an arithmetic term is
an = a1 + d(n-1)
For
a2 = a1 + d
we know that
a1 + a2 = 26
Simply for a1, a2, and d. Then use the formula to get the other items asked.
Answer:
in total only 2 triangles can fit in the box
Step-by-step explanation:
all u have to do is take the box length (10) and divide it by the triangle length (5) and you get 2
Coolio
lw=1000
lets assume that the aluminum sides are the legnth
2 sides
2*15=30
30l=cost of aluminum
steel=10w
wood=(w-10)5=5w-50
we can eliminate the w by solving for w in first relation
lw=1000
divide both sides by l
w=1000/l
sub that for w
10(1000/l)=steel
5(1000/l)-50=wood
wood cost+steel+aluminum cost=total cost
10(1000/l)+5(1000/l)-50+30l=1525
(10000/l)+(5000/l)-50+30l=1525
(15000/l)-50+30l=1525
add 50 to both sides
(15000/l)+30l=1575
times both sides by l
15000+30l²=1575l
minus 1575l from both sides
30l²-1575l+15000=0
factor
(15)(l-40)(2l-25)=0
set each equal to 0
l-40=0
l=40
2l-25=0
2l=25
l=12.5
the there are 2 possible combinations
aluminum=40yd and steel=25yd or
aluminum=12.5yd and steel=80ft
both yield 1000yd² and cost $1525
