<u>Answer:</u>
4.5 foot is needed for a unit dozen bird house
<u>Explanation:</u>
Given Tina saw ¾ foot of wooden trim is being used for first 1/6 dozen bird houses
Therefore, we can write as,4
1/6 dozen = ¾ foot
For 1 dozen bird houses, we have to use the unitary method
1/6 dozen = ¾ foot
Therefore, 1 dozen or unit dozen = 
1 dozen = ¾ * 6 =
foot = 4.5 foot
Therefore, 4.5 foot is needed for a unit dozen bird house
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
Surface area of cylinder= 211.5π
Step-by-step explanation:
Given,
Height of cylinder = 19cm
Diameter of cylinder = 9cm
i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm
Surface area of cylinder = 2πrh + 2πr²
Plug corresponding values of r and h in surface are formula.
Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²
Surface area of cylinder = 171π+40.5π = 211.5π
Hence we get surface area of cylinder= 211.5π
Answer:
D) 1078
Step-by-step explanation:
Step-by-step explanation:
The volume of a cube is

where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is

If we multiply that by the height of the cube, which is a.

That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
![\sqrt[3]{125} = \sqrt[3]{a {}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7Ba%20%7B%7D%5E%7B3%7D%20%7D%20)
The cube root of 125 is 5 so

5 cm
2.

![\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)

2 ft
3.


7 yd
4.


10 mm
5.


12 in. or 1 ft
6.


1 m