Answer:
25.5
Step-by-step explanation:
first find angle E.
remember, all angles in a triangle always add up to 180 degrees.
E = 180 - 90 - 20 = 70 degrees
now we use the law of sines.
ED/sin(20) = DC/sin(70) = EC/sin(D)
EC = x
sin(D) = sin(90) = 1
24/sin(70) = x/1 = x
x = 25.5
Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be 
= 80
ii) let the second term be 
= . r = 80 × r = 60 ∴ r = 
= 0.75
iii) let the third term be 
= . r = 60 × r = 45 ∴ r = 
= 0.75
iv) let the fourth term be 
= . r = 45 × r = 33.75 ∴ r = 
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
You need to represent it as 2x + 10 = 50
Answer:
$108
Step-by-step explanation:
From the above question, we have the proportion:
Company A/Company B
= $9/$2 = x/x24
The next step is : We Cross Multiply
2x = $24 × $9
x = $24 × $9/2
x = $108
Therefore, she will invest in $108 company A if she invests $24 in company B.
Answer:
Step-by-step explanation:
√((5-1)²+ (4 - (-6))²
√(4)² + (10)²
√(16+100)
√116
2√(29)
