The possible values (L,W): (1,7),(2,6),(3,5),(5,3),(6,2),(7,1)
Answer:
3/8
Step-by-step explanation:
The possible outcomes
TTT TTH THT THH HHH HHT HTH HTT = 8 outcomes
There are TTH THT HTT 3 with exactly two tails
P ( exactly 2 tails) = 3/8
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
Answer:
68°
Step-by-step explanation:
Here,
- Two supplementary angles are (2x – 8)° and (3x - 2)°.
As we know that the sum of two supplementary angles are 180°. So,
→ (2x – 8)° + (3x – 2)° = 180°
→ 2x° – 8° + 3x° – 2° = 180°
→ 5x° – 10° = 180°
→ 5x° = 180° + 10°
→ 5x° = 190°
→ x = 190° ÷ 5°
→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>
Supplementary angles are,
→ 2(38°) – 8
→ (76 – 8)°
→ 68°
→ 3(38°) – 2
→ (114 – 2)°
→ 112°
Therefore, the measure of the smaller angle is 68°.
We know that GCF stands for Greatest Common Factor and hence we need to apply this in solving the given problem. The solution is shown below:
54x+8154x+81
Combine same terms, we have:
8208X+81
Factoring with the greatest common factor which is 27
304x+3
The answer for the factored expression is 304X + 3.
