For finding, the sum of last ten terms, we write the given AP in reverse order i.e, 126, 124, 122,..., 12, 10, 8
Hence,first term (a) = 126, common difference, (d) = 124 - 126
So,
You are expected to use a z-score table to find how many standard deviations correspond to having 10% outside the bounds. It is like having 68% within 1σ. The table interpolates.
I'm sorry I looked everywhere and I still cannot find how to calculate with the data provided. I'm new to stats so any help is appreciated, if there is any more information let me know and I could solve it.
Answer:
The length of diagonal BD is 11·(1 + √3)
The length of diagonal AC = 22
Step-by-step explanation:
The given data are;
Quadrilateral ABCD = A kite
The length of segment AD = 22
The measure of ∠DAE = 60°
The measure of ∠BCEE = 45°
Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;
AE = EC
DE = 22 × sin(60°) = 11·√3
AE = 22 × cos(60°) = 11
∴ AE = EC = 11
BE = EC × tan(∠BCE) = 11 × tan(45°) = 11
The length of the diagonal BD = BE + DE (By segment addition property)
∴ BD = 11 + 11·√3 = 11·(1 + √3)
The length of diagonal BD = 11·(1 + √3)
The length of diagonal AC = AE + EC
∴ AC + 11 + 11 = 22
The length of diagonal AC = 22.
Answer:
<u>α = 29°</u>
Step-by-step explanation:
<u>Given values</u>
- Opposite side = √15
- Adjacent side = 7
<u>Missing value</u>
<u>Solving</u> :
- tanα = √15/7
- α = tan⁻¹ (√15/7)
- α = 28.8107937
- <u>α = 29°</u> (closest value)
Answer:
ΔCFG is an isosceles triangle.
Step-by-step explanation:
From the picture attached,
From ΔABF and ΔEDG,
Conditions for ΔABF and ΔEDG by SSS property of congruence,
1). AB ≅ DE [Given]
2). (BC + CF) = (DF + CG)
CF = CG [Given → BC = DF]
3). FA ≅ EG
(AG + GF) ≅ (EF + GF)
AG ≅ EF
Since, two sides of ΔCFG are equal in measure
ΔCFG is an isosceles triangle.