<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
Answer: X = 24
Step-by-step explanation:
Move all terms to the left:
(3x + 10) - (2x - 9) - 43 = 0
Get rid of all the parenthesis:
3x + 10 - 2x - 9 - 43 = 0
Add all the numbers and all variable:
x-24 = 0
Move all terms containing x to the left and all other terms to the right:
x = 24
You follow bedmas (brackets, exponents,division,multiplication,addition,subtraction). First comes the brackets so you do (60 divided by 10) which is 6. You still have (6) which means you have to multiply it by 2. So you get 12. Now you got rid of the brackets so you can solve the rest. 90-12-4= 74.
Use pythagorean theorem
a^2+b^2=c^2
first find the difference of between the 2 points to find the legnth of the legs
distance between 2 and 5=3
distance between 3 and 8=5 so
3^2+5^2=c^2
9+25=c^2
34=c^2
√34=c
the ligit formula is
