Answer:37 degrees
Step-by-step explanation:
90 (right triangle always has a 90 degree angle) + 53 = 143
There are 180 degrees in a triangle so,
180-143 = 37
Answer:
Multiply the second equation by −2 to get −8x − 6y = −30.
Step-by-step explanation:
{2x + 6y = 12
{4x + 3y = 15
{2x + 6y = 12
{−8x − 6y = −30 >> New Equation
* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.
** [3, 1] is your solution.
I am joyous to assist you anytime.
Answer:
1. 3sqrt(2)
Choice C
2. 2sqrt(3)
Choice D
Step-by-step explanation:
1. sqrt(x+3)
sqrt(15+3)
sqrt(18)
sqrt(9*2)
sqrt(9)sqrt(2)
3sqrt(2)
Choice C
2. 6/sqrt(x)
6/sqrt(3)
no radicals in the denominator, multiply by 1 in the form of the radical
6/sqrt(3) * sqrt(3)/sqrt(3)
6sqrt(3)/ (sqrt(3)*sqrt(3))
6sqrt(3)/3
2sqrt(3)
Choice D
A cuboid is a box-shaped object. It has six sides and all are perpendicular
Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)
We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm
Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)
Now we divide both equations by 2:
20=bc
50=2b+bc+2c
We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c
Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48
We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52
Now we know:
a=2cm
b=1,48cm
c=13,52cm
Formula for a diagonal is:
1 bottle is $2.98. Just do $5.96 divide by 2 to get the answer