Area of the rectangle is length x width
3x4=12
area of triangle is base x height divide by 2
2x4=8
8 divide by 2 is 4
add them all up
12 + 4 + 4 is 20
Answer:
Area=bh
10.5 in^2 =(3/4 in) (h in)
h=10.5/(3/4)=10.5/.75=14 in
Height = 14 in.
M 7=280. you just multiply 7 by 40 to get your answer. i am pretty sure.
Answer:
$1.25.
Step-by-step explanation:
We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.
First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.
To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.
Therefore, Jasmine will get $1.25 back as change.
If
(2 sin(x) - 1) (2 cos²(x) - 1) = 0
then either
2 sin(x) - 1 = 0 or 2 cos²(x) - 1 = 0
sin(x) = 1/2 or cos(2x) = 0
The first equation gives two families of solutions,
x = arcsin(1/2) + 2nπ = π/6 + 2nπ
x = π - arcsin(1/2) + 2nπ = 5π/6 + 2nπ
where n is any integer; we get the solutions x = π/6 and x = 5π/6 in the interval 0 ≤ x < 2π when n = 0.
The second equation also gives two families of solutions,
2x = arccos(0) + 2nπ = π/2 + 2nπ
2x = -arccos(0) + 2nπ = -π/2 + 2nπ
Divide both sides by 2 :
x = π/4 + nπ
x = -π/4 + nπ
Then the solutions we want are x = π/4 and x = 5π/4 (when n = 0 and 1 in the first family, respectively) and x = 3π/4 and x = 7π/4 (when n = 1 and 2 in the second family).
We have 6 solutions, so A is the correct choice.
