Answer:
sqrt(5)/29
Step-by-step explanation:
1/(5 + 3sqrt(5))
= 1/(5 + 3sqrt(5)) x sqrt(5)/sqrt(5)
= sqrt(5)/(5 + 3 x 8)
= sqrt(5)/ 29
Answer:
From left to right:
2, 4, 32
Step-by-step explanation:
Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.
yellow to blue = 8 to 16
8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2
8 to 16 = 1 to 2
This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.
In the first two columns, yellow paint is blue paint divided by 2.
4/2 = 2
8/2 = 4
In the last column, blue paint is yellow paint times 2.
16 X 2= 32
All of the ratios yellow to blue are:
2 to 4
4 to 8
8 to 16
16 to 32
We know that
[volume of the cone]=(1/3)*area of the base*height
h-----> height
AB-----> area of the base
so
[volume of the original cone]=(1/3)*AB*h
volume=6 in³
(1/3)*AB*h=6--------> h=18/AB
For <span>a cone with the same base diameter but a volume of only 3 cubic inches
</span>(1/3)*AB*h=3 in³-------> h=9*AB
the answer is
<span>The new cone height is half the original height</span>
Answer:
1.3 billion divided by 3.56 is 36,516,853,932.6
I hope this helped! Have a great day!
Answer:
The width of the bathroom is 10ft.
Step-by-step explanation:
To find the area of a rectangle, we use the formula
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>width x length</em>
So we know that length is equal to 7 ft, and we also know the total area which is 70 sq.ft.
70 = ? x 7
multiplication and division are inverse operations, so we will divide instead
70 divided by 7 = 10
And we are done!!
hope this helps you, feel free to leave any questions in the comments!! :)