Step-by-step explanation:
Arithmetic:
a(n) = a +(n-1)d
a=15
d=5-15=-10
°.° a(n) = 15 +(n–1)-10
Geometric:
a(n)=a*r^(n-1)
a=15
r=5/15=1/3
a(n)=15*(1/3)^(n-1)
hope this helps
9514 1404 393
Answer:
- 2nd force: 99.91 lb
- resultant: 213.97 lb
Step-by-step explanation:
In the parallelogram shown, angle B is the supplement of angle DAB:
∠B = 180° -77°37' = 102°23'
Angle ACB is the difference of angles 77°37' and 27°8', so is 50°29'.
Now, we know the angles and one side of triangle ABC. We can use the law of sines to solve for the other two sides.
BC/sin(A) = AB/sin(C)
AD = BC = AB·sin(A)/sin(C) = (169 lb)sin(27°8')/sin(50°29') ≈ 99.91 lb
AC = AB·sin(B)/sin(C) = (169 lb)sin(102°23')/sin(50°29') ≈ 213.97 lb
The picture of the calendar is shown in the attached image.
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)
Answer:
Step-by-step explanation:
Of course it is MEGA, it is a common sense for everyone to know that buying bigger bulk results in cheaper price. But I will do the math for you:
MEGA size: 5 / 29.4 = 0.17 dollars per pound
Family size: 3.64 / 19.5 = 0.19 dollars per pound
so it is MEGA
Answer:
26
Step-by-step explanation:
You can determine the slant height of this cone by forming a right triangle with the radius, and height. Therefore, the slant height is:
sqrt(10^2 + 24^2) = sqrt676 = 26