Answer:
1. 23.8
2. 7.7
Step-by-step explanation:
<u>for the first blank</u>
use sin because x is opposite and 25 is hypotenuse
set up an equation:
sin(72)= (x/25)
multiply both sides by 25:
25(sin(72))= (x/25)25
25(sin(72))= x
multiply 25 by sin(72):
23.8 = x
<u>for the second blank</u>
use cos because x is adjacent and 25 us hypotenuse
set up an equation:
cos(72)= (x/25)
multiply both sides by 25:
25(cos(72))= (x/25)25
25(cos(72))= x
multiply 25 by cos(72):
7.7= x
Answer:
The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12
Step-by-step explanation:
An absolute value inequality |x-2|>10 is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 2
The given absolute value inequality is $|x-2|>10$.
The inequality can be written as
x-2<10 and x-2>-10
First solve the inequality, x-2<10.
Add 2 on both sides,
x-2<10
x-2+2<10+2
x<12
Step 2 of 2
Solve the inequality x-2>-10.
Add 2 on both sides,
x-2>-10
x-2+2>-10+2
x>-8
The solution of the inequality in interval notation is given by -8<x<12.
To figure this out, you should think about the multiples of 10 boxes you could have.
If I had 10 small boxes, there would need to be 86 large boxes. 86 is not evenly divisible by 8 so that doesn't work.
If I had 20 small boxes, there would be 76 large boxes. 76 is not evenly divisible by 8.
If I had 30 small boxes, there would be 66 large boxes. 66 is not evenly divisible by 8.
If I had 40 small boxes, there would be 56 large boxes. 56 is every divisible by 8.
4 cartons of 10 small boxes and 7 cartons of 8 large boxes would be needed. This is a total of 11 cartons.
Answer:
400
Step-by-step explanation:
240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%
Formula to find the length of two endpoints: 
Now, solve with the given endpoints.
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Now, simplify using what we know about radicals.
Solution in picture.
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The length between the endpoints is 2√34 (Option B)
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Best Regards,
Wolfyy :)
