Answer:
-10
Step-by-step explanation:
as the -32 is in bracket so we must look at it first. then the (-) is multiplied with the + outside bracket which is +×(-)=- . so it will be plus i.e. 22-32 and final step subtract it. the answer is -10.
Try this solution, if it is possible check it in the other sources.
P.S. for the radius of convergence: it is clear that all the members of the series (except the 1st and the 2d ones) are '0'.
1. 42 5/8 + 39 3/5
Find common denominator for the fractions and rewrite them using the common denominator:
5/8 = 25/40
3/5 = 24/40
25/40 + 24/40 = 49/40 = 1 9/40
1 9/40 + 42 + 39 = 82 9/40 feet
2. 9/40 = 0.225, plus 82 feet = 82.225 feet, this is less than 82.5, so the 8th graders earned the 50 points.
3. The equation would be the total of completed jumps divided by the total number of attempts:
(2 +4 + 1) / (3 + 6 +4) = 7/13 = 0.538 average.
4. 0.538 is greater than 1/2 ( 0.50), so the 8th graders earned 50 points.
22.25 fluid ounces. Again, it may or may not be completely correct.
Answer:
56.644 m^2
Step-by-step explanation:
It's a rule that if the ratio of the sides of 2 similar figures is a:b, the ratio of their areas is a^2:b^2. (I may not be using the standard variables or the exact wording here, but that's the basic idea.)
You can simplify this and understand it with squares. All squares are similar, right? Imagine a 2 in. by 2 in. square and a 4 in. by 4 in. square. The ratio of their sides is 2:4, or 1:2. (The ratio of their perimeters is the same thing. 2*4=8 inches for the smaller square, and 4*4=16 for the bigger square. 8:16=1:2) The ratio of their areas is 4:16, or 1:4. (1/2)^2=1/4
The same thing applies here. The perimeter of the larger figure divided by the perimeter of the smaller one is 34/20=1.7. That means that the area of the larger figure divided by the area of the smaller one is 1.7^2, or 2.89. You can write an equation where x is the area of the larger one:
x/19.6=2.89
x=56.644 m^2
Hope I could help you!