Answer:
5115
Step-by-step explanation:
First of all, we need to assume there is a typo involved, and that the expression is supposed to be ...
The values being summed look a lot like the general term of a geometric sequence:
The exponents in the sum range from 1 to 10, so the values being summed range from 5/2 to 5/1024. In order for that to be the case with our general term, for r = 1/2, we must have a1 = 5/2 as we let n range from 1 to 10.
The sum of the terms of the geometric sequence is ...
The numerator of the fraction is ...
x = 5115
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<em>Caveat</em>
If we have misinterpreted the intent of the problem statement, the answer will be different.
Answer:
-1.5 is the gradient (m), correct equation: y= -1.5x-7
Step-by-step explanation:
m=y2-y1/x2-x1
for getting the correct equation, input y, x and m in the equation y=mx+c to find c
Answer: 3 × 
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only 1 digit to the left of the decimal point. In this case, we can write 30,000 as 3.0000 and notice that there is only 1 digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 30,000. Since we would need to move the decimal point 4 places to the right, this gives us an exponent of positive 4. So, we can write this in scientific notation.
3.0000 ×
The exponent is positive because we would need to move the decimal point 4 places to the right in order to get back to our original number.
We can also write it as 3 × since we can drop zeroes at the end of the decimal.
Therefore, 30,000 can be written in scientific notation as 3 × .
Well, first let's identify which answers are incorrect, then it will be easier to figure out which are correct.
A. Equilateral: An equilateral triangle is a triangle with 3 equal sides. Since there are 180 degrees in a triangle, an equilateral triangle would have three sides of 60 degrees, and none of 45 degrees. Answer? Incorrect.
B. Isosceles: An isosceles triangle has two sides that are equal. 45 and 45 are equal, therefore, this answer is: Correct!
C. Scalene: A scalene triangle has three unequal sides, therefore, this answer is incorrect.
D. Obtuse: An obtuse triangle has one angle that is more than 90 degrees, therefore, since 45 and 45 equal 90 already, this answer is: incorrect.
E. Right: A right triangle has one right angle (angle that equals 90 degrees) since 45 + 45 = 90, and 90 + 90 = 180, this answer is: Correct!
F. Equiangular: This last choice is practically the same as the first, therefore the answer is: incorrect.
The two correct answers are: B Isosceles, and E Right!
Answer: 13.96 in²
<u>Step-by-step explanation:</u>
d = 2r
16 = 2r
8 = r
180(θ) = 25(π)
θ = 
θ = 
A = 
r² θ
= 
= 
= 13.96
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Answer: 12π
<u>Step-by-step explanation:</u>
s = rθ
= 60
= 12π
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Answer: 22.440 cm²
<u>Step-by-step explanation:</u>
A = r²θ
= (10)²
= 
= 22.440
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Answer: 270°, 630°, -450°, -810°
<u>Step-by-step explanation:</u>
positive: -90 + 360 = 270
270 + 360 = 630
negative: -90 - 360 = -450
-450 - 360 = -810
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Answer: 
<u>Step-by-step explanation:</u>
= 
= 
= 
=
If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.
