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3 years ago

He figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?

Mathematics

1 answer:

Murljashka [212]3 years ago

7 0

Answer:

I think is c

Step-by-step explanation:

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

Find the area of the shape below. Plz help!!!

skelet666 [1.2K]

Answer:

A = 108 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the height between the 2 bases and b₁, b₂ are the parallel bases

Here h = 24 , b₁ = 8 , b₂ = 1 , then

A = $\frac{1}{2}$ × 24 × (8 + 1) = 12 × 9 = 108 units²

5 0

2 years ago

A Circle has a diameter of 9 cm. Find the Circumference. Give a Simplified Exact answer. Enter pi with answer. For example 4pi

lutik1710 [3]

Circumference = Diameter * $\pi$

So 9 $\pi$ is the answer

3 0

3 years ago

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A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles

Studentka2010 [4]

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

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2 years ago

What units used for rate of riding a biycicle

tatuchka [14]

cadence

hope this helps :)

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3 years ago