Answer: t<5.42 or t<38/7
Step-by-step explanation: We must group like terms on one side of the inequality in order to isolate <em>"t". </em>Subtract both sides by 5t.
12t - 2 < 5t + 36
7t-2<36
Then we can add 2 to both sides.
7t<38
Finally we divide both sides by 7 which will give us the answer.
7t/7<38/7
t<5.42
<u><em>t<5.42 or t<38/7 Hope this helps!</em></u>
2x^2+4x-6=0
(2x^2+6x)(-2x-6)
2x(x+3) -2(x+3)
(2x-2)=0 (x+3)=0
x= 1 x=-3
Answer:
1670.8 cm³
Step-by-step explanation:
Volume of square Pyramid = ⅓*a²*h
h = 15.3 cm
a = 18.1 cm
Plug in the values
Volume of the pyramid = ⅓*18.1²*15.3
Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)
Answer:
so the formula for volume is lent time width times height so 8 times 1 times 2 so the answers is 16
Step-by-step explanation:
This is a very poorly written question. im assuming the house wall is at least 130 ft since there is no information given about it.
each set of side lengths has three elements, the long side and the two short sides. we're asked to list all whole number possibilities so start anywhere, the two short sides being 1ft
(1 1 130). the long side has to be the difference of 132 and the length of both short sides.
the area is one of the short sides times the ling side, in the first case 1*130=130 sqft
continuing the list
(2 2 128) area=256
(3 3 126) area=378
(4 4 124) area=496
(5 5 122) area=610
the short sides increase by 1, the long side decreases by 2, the area gets bigger, but the difference between the areas are 4 less each time. dividing the first difference, 122, by 4 will give us a number to make a better guess from.
122÷4=30.5
so lets try
(30 30 72) area=2160
lets try 31 and see if that gives a smaller area
(31 31 70) area = 2170
(32 32 68) area =2176
(33 33 66) area = 2178
(34 34 64) area = 2176
so the area is decreasing now which means the maximum area is found when thw long side is 66 feet and the short sides are 33 feet.
as far as listing all possibilities, you see the pattern i started, i leave the rest to you
