Answer:
6x-45°=4x+5°(vertically opposite angles are equal)
6x-4x=5+45
2x=50
x=50/2
x=25
hope it helps you!
The formula for this ( horizontal circular orbit with the origin at the center) is
L = mvr
To solve this you must use a proportion like so...
The total number of students that can be chosen are 4,663. This number will represent the whole of one fraction in the proportion. We want to know what percent probability out of these students are engineer, medical doctor/surgeon. This would be considered the part of this fraction. Sum the number of engineering students (615) with medical doctors/surgeons (723) to find this number
723 + 615 = 1,338 students that want to be an engineer or medical doctor/surgeon
Percent's are always taken out of the 100. This means that the other fraction in the proportion will have 100 as the whole and x (the unknown) as the part.
Here is your proportion:
Now you must cross multiply
1,338*100 = 4,663*x
133,800 = 4,663x
To isolate x divide 4,663 to both sides
133,800/4,663 = 4,663x/4,663
28.7 = x
This means that there is a 28.7% of a student with the intent of becoming an engineer or a medical doctor/surgeon to be chosen at random
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.
The formula for permutation is given as
nPk = n!÷(n-k)!
Where n is the number of objects, k is the is the number of objects we want to chose from.
Solution to the question
15P8 = 15!÷(15-8)!
= 15!÷7!
= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1÷7×6×5×4×3×2×1
= 259459200
to get an A, she needs >=160 points and she already has 125 points
let 'x' be the number of points on the last part of her project then
125 + x >= 160
x >= 160 - 125
x >= 35
Sarah needs at least 35 points on the last part of her project.