Answer:
142:23
Step-by-step explanation:
The length of the rectangle is given as 71/2 while its width is 23/4
We are required to determine the ratio of the length to the width;
length:width
(71/2):(23/4)
(71/2)/(23/4)
71/2 * 4/23 = 142/23
The ratio of the length to the width is thus;
142:23
1.5y < -6.75
First, divide both sides by '1.5'.
Second, since 4.5 × 1.5 = 6.5, simplify the fraction to '-4.5'
Answer:
y < -4.5
We are given the expression:
U = E * P
The equality symbol “ = “ means that for all cases, the
value of U and E * P must always be equal. This means that whatever happens on
the left side, must equally happen on the right side.
So what this actually means is that, if we double U so we
must also double the expression E * P, that is:
2 U = 2 (E * P)
However since P stays constant in the process, therefore
only E is changed, hence:
2 U = P * 2 E
So we can see that E is also doubled.
Answer:
6
Step-by-step explanation:
The law of cosines is useful here.
a^2 = 8^2 +11^2 -2·8·11·cos(32.2°) ≈ 36.070003
a ≈ √36.070003 ≈ 6.00583
a ≈ 6
Answer:
1 in 8 chance.
Step-by-step explanation:
When a coin flips is has two outcomes: heads or tails, obviously.
Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes
1 coin: 2 outcomes
2 coins: 4 outcomes
3 coins: 8 outcomes
Another thing:
Don't be fooled by questions being specific by saying "all heads" or "all tails"...
This is a wording trick, no matter the outcome, the chances will always be equal.
Good luck :)
