The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 =
∵ ÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴
- Round it to the nearest hundredth
∴
The sum of the first 8 terms is 2.51 to the nearest hundredth
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Answer:
<u>C</u><u>.</u><u>)</u><u> </u><u>8</u><u>.</u><u>0</u><u>%</u>
Step-by-step explanation:
8.60/7.92= 0.68
0.68/8.60=0.079 which rounds up to 0.08
0.08= <u>8.0%</u>
Tzw uzv in the diagram bellow is a rectangle
Answer:
The height of the cliff is 31.17 feet.
Step-by-step explanation:
For better understanding of the solution see the attached figure :
Let the height of cliff be x feet.
In ΔABC and ΔDEC,
m∠ABC = m∠DEC = 90° (Angle made between the height and the ground is right angle)
∠ACB = ∠DCE ( Angle of reflection = Angle of incidence because N is normal )
So, By AA postulate of similarity of triangles, ΔABC ~ ΔDEC
Now as triangles are similar, their sides will be proportional to each other.
Hence, The height of the cliff is 31.17 feet
Answer:
x = 56
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + b^2 = 14.5^2
-12^2
b^2 =66.25
sqrt(b) = sqrt(66.25)
b= 8.13941029...
b=8.1
b is the grass part, which will extend from the front end of the ladder to the end of the slide.
To solve an SAS triangle
<em>use The Law of Cosines to calculate the unknown side,</em>
<em>use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,</em>
<em>use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.</em>
Angle ∠A = 55.852° if we round 56
Angle ∠B = 34.148° if we round 34
double check 56+34+90 = 180