1) 5
2) zero
3) <span>Step 1: 12x + 15 = 12
Step 2: 12x = −3
4) 10
5) 2
This took me a long time to do so I hope this was beneficial :)) !! (btw I am absolutely sure about every answer. I checked my work plenty of times :)</span>
Answer:
12 m
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . b represents the base; h represents the height
We are told that the height is 5 m less than the base, so we have ...
42 = (1/2)(b)(b -5)
84 = b(b-5) . . . . . . . . multiply by 2
We want two factors of 84 that differ by 5. The factors are ...
84 = 1·84 = 2·42 = 3·28 = 4·21 = 6·14 = 7·12
The relevant factors are 7 and 12, so now we know b-5 = 7 and b = 12.
The length of the base is 12 m.
Answer:
0+1+2+3+4+5+6=21
Step-by-step explanation:
Since integers are given as x1, x2, x3, x4, x5, x6, and x7. This means they are consecutive integers divisible by 7.
Thus no matter which 7 consecutive integers are these, their reminders will always be in the order of 0,1,2,3,4,5 & 6.
So their sum will be 0+1+2+3+4+5+6=21.
I am pretty sure your answer is going to be <span>58.8, I hope this helps!! :)</span>
Answer:
34 cm
Step-by-step explanation:
The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.
Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm
Then, T₃/T₁ = ar²/a = r²
r² = T₃/T₁
r² = 64 cm/121 cm
r = √64/121
r = 8/11
So, the height of our fifth bounce T₅ = ar⁵⁻¹
= ar⁴
= 121 cm × (8/11)⁴
= 121 × 4096/14641
= 4096/121 cm
= 33.9 cm
≅ 34 cm to the nearest cm