Answer:
1. = 99 degrees 2. = 85 degrees
Step-by-step explanation: All quadrilaterals have a total of 360 degrees. You can figure out the rest.
Answer:
91.1 cubic inches to 1 dp
Step-by-step explanation:
4.5 X 4.5 X 4.5 = 91.125 cubic inches
or
4.5^3 = 91.125 cubic inches
(a is the length of the side of each edge of the cube)<span>In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a<span> 2</span> . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.</span>
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
