Equilateral triangle are also equiangular which means all angles are 60 degrees. thus our needed altitude is the leg of a right triangle with other leg 4 and hypotenuse 8. 4² +a² = 8²
a² = 48
a=√48 = 4√3

Solve the following using Substitution method
2x – 5y = -13
3x + 4y = 15


- To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

- Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

- Add 5y to both sides of the equation.


- Multiply
times 5y - 13.

- Substitute
for x in the other equation, 3x + 4y = 15.

- Multiply 3 times
.

- Add
to 4y.

- Add
to both sides of the equation.

- Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

- Substitute 3 for y in
. Because the resulting equation contains only one variable, you can solve for x directly.


- Add
to
by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

- The system is now solved. The value of x & y will be 1 & 3 respectively.

Answer:
38 in
Step-by-step explanation:
P=w+w+h+h=18+18+6+6=26+12=38 in
Answer:
3118.7ft
Step-by-step explanation:
Given data
Circumference= 9,799 ft
We want to find the diameter, but we need to get the radius
C= 2πr
9,799=2*22/7*r
9,799=2*3.142*r
9,799=6.284r
r=9,799/6.284
r= 1559.35
Hence the diameter is =1559.35*2
Diameter=3118.7ft
Answer:
-1/3
Step-by-step explanation:
slope= 