Answer:
3/4
Step-by-step explanation:
1/2 the deck is red cards.
1/4 of the deck is spades.
There are no spades that are red cards, so the probability of drawing a red card or a spade at random from a well-shuffled deck is ...
1/2 + 1/4 = 3/4
In both cases, y and x components are solved and added. The resulting hypotenuse is then computed and its direction calculated.
Airplane:
Ф = 270 - 265 = 5°
Hypotenuse, h = 420 mph
y component = 420 Sin Ф = 420 Sin 5 = 36.61 mph
x component = 420 Cos Ф = 420 Cos 5 = 418.40 mph
Wind
Ф = 270 -210 = 60°
Hypotenuse, h = 30 mph
y component = 30 Sin 60 = 25.98 mph
x component = 30 Cos 60 = 15 mph
Total y = 36.61+25.98 = 62.59 mph
Total x = 418.40+15 = 433.40 mph
Resulting speed of airplane = Sqrt (y^2+x^2) = Sqrt (62.59^2+433.40^2) = 437.9 mph
Direction = 270 -[tan^-1 (y/x)] = 270 -[tan^-1(62.59/433.40)] = 261.78°
Answer:negative 1/2
Step-by-step explanation:
Answer:
30 square feet
Step-by-step explanation:
area= length times width
Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself.
Substituting:

Substitute w for 9.

Simplify.

Solve.
255 is greater than 250, so yes, he will have enough money saved.
Solving the equation:

Original Equation

Subtract 30 from both sides.

Divide both sides by 25.
The number of weeks he needs is 8.8. When rounding it up, you get 9.