Answer:
The angle formed between CF and the plane ABCD is approximately 47.14°
Step-by-step explanation:
The given parameters are;
BC = 6.8
DE = 9.3
∠BAC = 52°
We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;
sin∠BAC = BC/(The length of a line drawn from A to C)
∴ The length of the line drawn from A to C = BC/sin∠BAC
The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63
∴ AC = 8.63
By trigonometry, we have;
The angle formed between CF and the plane ABCD = Angle ∠ACF
In a cuboid, FA = BG = CH = DE = 9.3
The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°
Answer:
The area is 200.96 in^2
Step-by-step explanation:
Answer:
f(x) = 2x+5
Step-by-step explanation:
Given the arithmetic sequence shown
7,9, 11, 13, 15, 17,
THe nth term of the sequence is expressed as;
Tn = a + (n-1)d
a is the first term = 7
d is the common difference = 9-7 = 11-9 = 2
Substitute
Tn = 7 + (n -1)*2
Tn = 7 + 2n - 2
Tn = 2n + 5
Hence the required function is f(x) = 2x+5
Answer:
60 second
Step-by-step explanation:
6km into minutes
1 minutes is 60 second
Answer:
Step-by-step explanation:
This is an Arithmetic Series with common difference 4 and first term 3
so the nth term an = 3 + (n -1)4
= 4n - 1.
The sum of n terms
= n/2 (a1 + L)
= n/2(3 + 1671)
= 837n.
There are (1671-3) / 4 + 1 = 418 terms in the series,
so the total value of the series is 837*418
= 349,866.
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