Answer: If you sketch this out, you should be able to convince yourself that if you drew a line parallel to the bases and halfway between them, and a vertical at the end of that line, there would be an extra triangle on the longer base that would just fit into the space at the end of the shorter base, if you cut and pasted it.
You should also be able to convince yourself by what you know about similarity that the length of that parallel halfway line is just halfway between the lengths of the bases (you can add them and divide by two).
So your trapezoid (trapezium, we call ’em this side of the pond) has the same area as a rectangle with an altitude equal to the trapezoid’s and a width equal to the sum of those bases divided by two. And since you know about rectangles, you’re home and dry. I suggest you do the sketch, fill in the numbers, and then you’ve completed a model piece of homework that should earn full marks and the teacher’s approval.
Step-by-step explanation:
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’
So;
(3y^10)(2y^2) is equal to (3)(2)(y^10+2).
6y^12/8y^5
When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.
6y^12/8y^5 = 3y^7/4
Answer:
inequality- 1.29m <20
maximum number of songs- 15 songs
Step-by-step explanation:
For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.
Answer: I believe the answer would be as follows:
8.431 grams
5.46 seconds
980 meters
900 miles
Step-by-step explanation:
it would first be which has the largest number after the decimal point, so if there’s three it goes first (0.12*3*). Then you would pick the one that is the smallest form of measurement, which would be meters in this case.
Hope this helped!
