Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since an equilateral has all of the sides equal, we can find the height of triangle using: . I attached a diagram which should explain how I got the dimensions of the three sides. Using the information from the diagram we get the equation:
Subtract a^2 from both sides
Take the square root of both sides
If you know the area of a triangle, it's: . In this case the base=a, and the height is what we defined above. Using this we get:
We can distribute the exponent over the division to get:
Now we can rewrite a^2 as 4a^2/4
Now add the two fractions:
We can distribute the square root the division just like how we distributed the exponent 2, since the square root can be expressed as an exponent (1/2)
There's a radical identity that states: . We can use this to rewrite one radical as multiple radicals to simplify it:
Simplify:
Now multiply the two fractions
This is the formula for the area of an equilateral triangle, but it is also often written as:
Answer:
dimension is 5cm * 4 cm
Step-by-step explanation:
As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.
Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.
see photo
Answer:
27.75₁₀
Step-by-step explanation:
Convert binary 11011.110 to base 10
11011.110 = 1*2^4 + 1*2^3+0*2^2 + 1*2^1 + 1* 2^0 + 1*2^-1 + 1* 2^-2 + 0
11011.110 = 16+8+0+2+1+1/2+1/4
11011.110 =27 + 3/4
11011.110 = 27.75₁₀
Hence the binary number to base 10 is 27.75₁₀
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon