In a trapezoid the sum of the bases is 28 and the area is 84.

1 answer:

3 0

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:

You might be interested in

In a famous story, a wise man in India requests a reward promised by his king. The wise man shows the king a chessboard having 6

pishuonlain [190]

8,192 because
1 on 1
2 on 2
4 on 3
8 on 4
16 on 5
32 on 6
64 on 7
128 on 8
256 on 9
512 on 10
1024 on 11
2048 on 12
4096 on 13
8192 on 14

7 0

3 years ago

For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's

Sergeeva-Olga [200]

You first have to plug in your given numbers to the equation.
d= rt
d=(52)4.5
Then you solve
52*4.5 = 234
So, your distance or d=234

5 0

4 years ago

What are the zeros of this polynomial and state their multiplicity at each y=(x-5)(x+2)^2

N76 [4]

Answer:

Step-by-step explanation:

The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.

This polynomial is already factored so set each to 0 and solve for x.

$x-5=0\\x=5\\(x+2)^{2}=0 \\(x+2)=0\\x=-2$

This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.

(x+5) occurs once since it has exponent 1.

$(x+2)^{2}$ occurs twoce since it has exponent 2.