Answer:
42.12cm²
Step-by-step explanation:
Firs well have to find the hypotenuse of the big and small right angled triangles because it is the length of the long and short diagonals which is needed in solving
The bigger triangle
Using Pythagoras theorem
let the length be x
x²=10²+6²
x²=100+36
x²=136
√x²=√136
x=√136
x=11.7m
The smaller triangle
Using Pythagoras theorem
let the length be y
y²=6²+4²
y²=36+16
y²=52
√y²=√52
y=√52
y=7.2
Now to find the total area of the shape which is a kite
Formula=
1/2 x D1 x D2
D1 is the long diagonal which is the hypotenuse of the bigger triangle and D2 is the shorter diagonal the hypotenuse of the smaller triangle
<h2>
<em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>
Answer:
x= -10
Step-by-step explanation:
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
4.5(8) - 4.5(x) + 36 = 102 - 2.5(3x) -2.5(24)
36 - 4.5x + 36 = 102 - 7.5x - 60
72 - 4.5x = 102 - 7.5x - 60
-4.5x = 102 - 7.5x - 60 - 72
-4.5x + 7.5x = -30
3x = -30
x = -30/3
x = -10
Sorry if its wrong, I try my best.
Answer:
Part A: 7n + 30= -5 and 8n + 40= 16
Part B: 7(8) + 30= 86 and 8(8) + 40= 104
Part C: Company A saves you 12.
Step-by-step explanation:
Company A: 7n + 30
Company B: 8n + 40
7n + 30= -5 8n + 40= 16
7(8) +30= 86 8(8) +40= 104
7(2) + 30= 44 8(2) + 40= 56
56 - 44= 12
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
