Answer:
The probability of spinning a vowel, then Q, is 1/12
Step-by-step explanation:
Find the probability of each event occurring. There are three vowels out of 6 letters and 1 Q, so the chances of spinning a vowel is 3/6 or 1/2 and the chances of spinning a Q is 1/6. Multiply the probabilities of the two events occurring to find the probability of a compound event. 1/2*1/6 = 1/12. Hope this helps!
First we need to know the surface area of the package:
2(lw) + 2(lh) + 2(wh)
2(8*11) + 2(11*2) + 2(8*2)
2(88) + 2(22) + 2(16)
176 + 44 + 32
252 square inches needed
Wrapping paper is in feet, so convert it to inches before finding the area.
1' = 12"; 2' = 24"
12* 24 = 288 square inches.
So, yes there is enough paper to cover all sides of the gift if there are no overlaps.
Lets x = measure of the second angle, so m<2 = x
m<1 = 2x (<span>the measure of the first angle is twice the measure of the second angle)
</span>m<3 = x + 96 (<span>96 degrees more than the measure of the second angle)
</span>
x + 2x + x+ 96 = 180
4x + 96 = 180
4x = 84
x = 21
2x = 2(21) = 42
x + 96 = 21+96 = 117
answer
m<1 = 42
m<2 = 21
m<3 = 117
Double check
sum = 180
m<1 + m<2 +m<3 = 180
42+21+117=180
180=180
The answer is x = 6
To solve this you would use the pythagorean theorem which is a^2 + b^2 = c^2
In this problem a = x b = 8 and c = 10
You would then square these numbers
x^2 + 64 = 100
Next, you would subtract 64 from both sides.
x^2 = 36
All that’s left is the find the square root, which is x = 6.
So, therefore, you’re answer is x = 6
