Answer:
Area of parallelogram is 150 square ft
Step-by-step explanation:
Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.
Area of parallelogram is 
= 
= 150 square ft
now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.
The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.
2 right angled triangles KPL and NOM by construction
⇒ 
(∵ KLMN is a parallelogram)
Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft
Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.
Answer: -750ft
Step-by-step explanation: -450+-300=-750
The radius of the sector is 10.27 miles
<h3>How to find the radius of a sector?</h3>
The area of a sector can be represented as follows;
area of a sector = ∅ / 360 × πr²
where
- r = radius
- ∅ = central angle
Therefore,
∅= 25 degrees
area of the sector = 23 miles²
area of a sector = ∅ / 360 × πr²
23 = 25 / 360 × πr²
cross multiply
23 × 360 = 25πr²
8280 = 25πr²
divide both sides by 25
πr² = 8280 / 25
πr² = 331.2
r² = 331.2 / 3.14
r² = 105.477707006
r = √105.477707006
r = 10.2702336877 miles
Therefore, the radius of the sector is 10.27 miles
learn more on sector here: brainly.com/question/8488428
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Answer:
w = 13/5
Step-by-step explanation:
The equation is : 5w-4=9
Then we add 4 to each side
5w = 13
Then we divide by 5
w = 13/5
To solve for y, you need to separate it in one side and the other terms in the other side..... as follows:
<span>a(n+y)=10y+32a
an + ay = 10y + 32a
an - an + ay = 10y + 32a - an
ay = 10y + 32a - an
ay -10y = 32a - an
y (a-10) = (32 - n)a
y = {a(32-n)} / (a-10)
</span>
