Answer:
<em>The width is 4 cm</em>
<em>The length is 12 cm.</em>
Step-by-step explanation:
<u>Area of a rectangle</u>
Given a rectangle of width W and length L, its area is calculated as follows:
![A=W\cdot L](https://tex.z-dn.net/?f=A%3DW%5Ccdot%20L)
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
![W\cdot L=48](https://tex.z-dn.net/?f=W%5Ccdot%20L%3D48)
![W\cdot 3W=48](https://tex.z-dn.net/?f=W%5Ccdot%203W%3D48)
Simplifying:
![3W^2=48](https://tex.z-dn.net/?f=3W%5E2%3D48)
Solving:
![W^2=48/3=16](https://tex.z-dn.net/?f=W%5E2%3D48%2F3%3D16)
![W=\sqrt{16}=4](https://tex.z-dn.net/?f=W%3D%5Csqrt%7B16%7D%3D4)
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
Answer:
Step-by-step explanation:
Triangle BCZ is a right angle triangle. Triangle BCU is also a right angle triangle. Side BU is common to both triangles.
To determine m∠ZBC, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan B = 8/6 = 1.33
m∠ZBC = Tan^-1(1.33) = 53.06
m∠UBC = m∠ZBC/2 = 26.53
To determine CU, we would apply
the tangent trigonometric ratio.
Therefore,
Tan 26.53 = CU/6
CU = 6Tan26.53
CU = 6 × 0.4992
CU = 2.9952
Step-by-step explanation:
example: the distance form the line y=x till Y and Y' must be the same
To read this stem and leaf plot you will look at the values to the left as Doctor 1 and values to the right Doctor 2.
Please see my attached work for the data set.
My work also shows the means and the medians to compare.
Answer:
There are 2
(6 2/5, -6 2/5)
(8 3/5, 4 2/5)
Step-by-step explanation: