Answer:
1cm, 2.4cm, 2.6cm
Step-by-step explanation:
They have to follow the pythagorean theorem a^2+b^2=c^2.
1^2+2.4^2=2.6^2 so it follows the pythagorean theorem so these three squares would form a right triangle.
ANSWER
EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of
The last term of this sequence is -229.
The nth term of this sequence is given by:
We use the last term to determine the number of terms in the sequence.
Divide through by -8;
Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:
The sum of the first 30 terms is given by:
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Answer:
2 and 3
Step-by-step explanation:
They both have symmetry when cut down
Four months equals 1/3 of a year.
The formula for "simple interest" is i = p r t, where p is the initial amount, r is the interest rate as a decimal fraction, and t is the time, in years.
Thus, here, i = $1077 * 0.03 * (1/3 year)
Please calculate this interest.
