Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A = 
× leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 = × 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 = × 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse = 
∴ hypotenuse = 
∵ The simplest form of 
= 2
∴ The length of the hypotenuse = 2 inches
25/20 × 100% = 125%
125% - 100% = 25%
25% profit :)
Answer:
- strong negative linear correlation
- -0.986
Step-by-step explanation:
You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.
The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.
The strong negative correlation number available to you is -0.986.
___
If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
Answer:
Step-by-step explanation:
You only need to isolate the term a to solve this problem.
Add by 3 from both sides.
Solve.
0+3=3
a/7<3
Multiply by 7 from both sides.
Solve.
3*7=21
<u>a<21</u>
As a result, the solution is a<21, which is our answer.
