Solve for the first variable in one the equations then substitute the result into the other equation so the answer is (2,5)
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=>
= r
=> 11.85 = r
Therefore, <u>the radius of the cone = 11.85yd</u>
Hope this helps!
Answer:
in step 4
Step-by-step explanation:
we have
![0.5(-12c+6)-3(c+4)+10(c-5)\\\\step1=-12c(0.5)+6(0.5)-3(c+4)+10(c-5)\\\\=-6c+3-3(c+4)+10(c-5)\\\\](https://tex.z-dn.net/?f=0.5%28-12c%2B6%29-3%28c%2B4%29%2B10%28c-5%29%5C%5C%5C%5Cstep1%3D-12c%280.5%29%2B6%280.5%29-3%28c%2B4%29%2B10%28c-5%29%5C%5C%5C%5C%3D-6c%2B3-3%28c%2B4%29%2B10%28c-5%29%5C%5C%5C%5C)
so step 1 is correct
step 2
![-6c+3-3(c+4)+10(c-5)\\\\=-6c+3+c(-3)+4(-3)+10(c-5)\\\\=-6c+3-3c-12+10(c-5)](https://tex.z-dn.net/?f=-6c%2B3-3%28c%2B4%29%2B10%28c-5%29%5C%5C%5C%5C%3D-6c%2B3%2Bc%28-3%29%2B4%28-3%29%2B10%28c-5%29%5C%5C%5C%5C%3D-6c%2B3-3c-12%2B10%28c-5%29)
so step 2 is correct
step 3
![-6c+3-3c-12+10(c-5)\\\\=-6c+3-3c-12+c(10)-5(10)\\\\=-6c+3-3c-12+10c-50](https://tex.z-dn.net/?f=-6c%2B3-3c-12%2B10%28c-5%29%5C%5C%5C%5C%3D-6c%2B3-3c-12%2Bc%2810%29-5%2810%29%5C%5C%5C%5C%3D-6c%2B3-3c-12%2B10c-50)
so step 3 is correct
step 4
![-6c+3-3c-12+10c-50\\\\=(-6c-3c+10c)+(3-12-50)\\\\=(-6-3+10)c+(-9-50)\\\\=(-9+10)c-59\\\\=c-59](https://tex.z-dn.net/?f=-6c%2B3-3c-12%2B10c-50%5C%5C%5C%5C%3D%28-6c-3c%2B10c%29%2B%283-12-50%29%5C%5C%5C%5C%3D%28-6-3%2B10%29c%2B%28-9-50%29%5C%5C%5C%5C%3D%28-9%2B10%29c-59%5C%5C%5C%5C%3Dc-59)
so step 4 is incorrect
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
Answer:
Perimeter of a square that measure 5.35 on one side is, 21.4 cm
Step-by-step explanation:
Perimeter of a square is the total length of the boundary of a square.
It is given by:
......[1] where
P represents the perimeter of square,
a represents the side of square.
Given: a = 5.35 cm
Substitute this value in [1] we get;
P = 4(5.35) = 21.4 cm
therefore, the perimeter of a square is, 21.4 cm