Can you please show me how to do: 6 square root 3 Times Square root 3 over 3. It would be really great if you could show me all the steps on how to do it.

Answers

Answer 1

Answer:

Step-by-step explanation:

$6\sqrt3\cdot(\sqrt3)/(3)=((6\sqrt3)(\sqrt3))/(3)\n\n\text{use the associative property}\ (a* b)* c=a*(b* c)\n\n=((6)(\sqrt3\cdot\sqrt3))/(3)\n\n\text{use}\ √(a)\cdot√(a)=a\n\n=((6)(\not3))/(\not3)\qquad\text{cancel 3}\n\n=6$

Answer 2

Answer: 6sqr(3)×sqr(3)/3
[6sqr(3)×sqr(3)]/3
sqr(3)×sqr(3)=sqr(3)^2=3
(6×3)/3
3's cancel
6 is the answer

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trevon spent 8 hours and 15 minutes at an amusement park yesterday he spent 75% of the time at the park about how much time did he spend on rides

Answers

convert 8 hours and 15 minutes into minutes- 8 x 60=480 480+15=495
100%-75%=25%
25%=0.25
0.25 x 495 = 123.75 minutes or 2 hour and 3.75 minutes

Hope this helps!!

so 8 hours+15mins at park
park=75%
rides=100%-park=100-75=25%
HACK ALERT
25% is 1/4 so multiply 8 hours and 15 mins by 1/4 so
8 h and 15 mins times 1/4=8h times 1/4+15mins times 1/4=2h+3.75min=

2 hours and 3.75 mins spent on rides

In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?

Answers

Answer:

The length of segment joining the endpoints of the arc is $8\ in$

Step-by-step explanation:

we know that

In the triangle ABC

see the attached figure to better understand the problem

$AC=BC$ -----> is the radius of the circle

$m<CAB=m<CBA$

$m<ACB=60\°$ ----> given problem (central angle)

Initially the triangle ABC is an isosceles triangle

Remember that

the sum of the internal angles of triangle must be equal to $180\°$

For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to $60\°$

The equilateral triangle has three equal sides and tree equal angles

$AC=BC=AB$

Hence

The length of segment joining the endpoints of the arc is $8\ in$

Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

Length of the segment = (16π in)(60/360) = 8/3 π in

Thus, the length of the segment is approximately 8.36 in.

What is y =2x 5 in standard form?

Answers

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=CA⁢x+B⁢y=CMove 2x2⁢xto the left side of the equation because it contains a variable.y−2x=5y-2⁢x=5Amust be positive, so multiply both sides of the equation by −1−1⋅(y−2x)=−1⋅5-1⋅y-2⁢x=-1⋅5Simplify the left side of the equation.Multiply −1-1by y−2xy-2⁢xto get −1(y−2x)-1⁢y-2⁢x.−1(y−2x)=−1⋅5-1⁢y-2⁢x=-1⋅5Apply the distributive property.−1y−1(−2x)=−1⋅5-1⁢y-1⁢-2⁢x=-1⋅5Simplify.Rewrite −1y-1⁢yas −y-⁢y.−y−1(−2x)=−1⋅5-⁢y-1⁢-2⁢x=-1⋅5Multiply −2-2by −1-1to get 22.−y+2x=−1⋅5-⁢y+2⁢x=-1⋅5Reorder −y-⁢yand 2x2⁢x.2x−y=−1⋅52⁢x-⁢y=-1⋅52x−y=−1⋅52⁢x-⁢y=-1⋅52x−y=−1⋅52⁢x-⁢y=-1⋅5Multiply −1-1by 55to get −5-5.2x−y=−52⁢x-⁢y=-5

Select the term for what a manufacture spends for goods and services A. cost B. price C. markup