We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n is 12
The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720
the answer is
265720
</span>
Grace's height and the tree's height are related by equivalent ratios
The height of the tree is 2.00 meters
Grace's height is given as:
When she measured the length of the tree's shadow, we have:
--- the length of her shadow
--- the length of the tree's shadow
The height (H) of the tree is calculated using the following equivalent ratio
Substitute known values
Express as fractions
Multiply both sides by 1.65
Simplify
Hence, the approximated height of the tree is 2.00 meters
Read more about equivalent ratios at:
brainly.com/question/13513438
Answer:
105 is your answer
Step-by-step explanation:
Let the two consecutive integers be: x , x + 1
Set the equation
x + x + 1 = 209
Simplify. Combine like terms.
(x + x) + 1 = 209
2x + 1 = 209
Isolate the x. Note the equal sign, what you do to one side, you do to the other.
Subtract 1 from both sides
2x + 1 (-1) = 209 (-1)
2x = 209 - 1
2x = 208
Isolate the x. Divide 2 from both sides
(2x)/2 = (208)/2
x = 208/2
x = 104
------------------------------------------------------------------------------------------------------
Plug in 104 for x.
(x + 1) = (104) + 1 = 105
105 is your answer
~
Answer:
x = -2
Step-by-step explanation:
x - 8 = -10
Add 8 to both sides (to get rid of the - 8)
x - 8 + 8 = -10 + 8
Simplify
x = -2
The answer is x = -2
