Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
It is 2(3x+4) because you distribute the 2
Answer:
A) Protractor
Step-by-step explanation:
In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.
The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.
x-4 needs to be greater or equal to zero so
[4, ∞) is the answer
Answer:
Slope= 3/11
Step-by-step explanation:
Slope formula= ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Use the points (-8, 2) and (3,5)
=
= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Slope= ![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
Use point-slope to find the equation
y-y1=m(x-x1)
*Use the slope (previously found) as m, and (3,5) as your point (x,y)*
y-5=
(x-3)
y-5=
x-3![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)
+5 +5
y=
x+2![\frac{3}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B11%7D)