The movie theatre has 250 seats. 225 seats were sold for the current showing . What percent of the seats are empty?

Answers

Answer 1

Answer: all you do is divide like this 225/250=0.9 and 0.9 is 90% so your answer is 90% hope i am the brainliest i need it to move up to the next rank

Answer 2

Answer: 250-225=25 seats empty. Place what you want/total=(25/250)x100=0.1x100=10% of the seats are empty.

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An engineer on the ground is looking at the top of a building the angle of elevation to the top of the building is 22 degrees the engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

Answers

Answer:

1114 foot

Step-by-step explanation:

Let the engineer is at a distance of x feet from the base of the building.

Please see the attached image.

In the triangle, we have

$\tan22^(\circ)=(450)/(x)$

Solving the equation for x, we get

$x=(450)/(\tan22^(\circ))\n\nx\approx1114$

Thus, the engineer is 1114 foot from the base of the building.

Hello,

tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)

In the drawing below, PQ is parallel to ST. Triangle PQR is similar to triangle TSR. Which statement about the sides is true?

Answers

Answer:

PR corresponds to TR

Step-by-step explanation:

<Q and <S are pair of alternate angles [since PQ is parallel to ST]

<Q = <S [since they are alternate angles]

So, PR corresponds to TR [since they are opposite sides of alternate angles and ΔPQR is similar to ΔTSR]

Answer:

PR corresponds to TR.

Step-by-step explanation:

Its the second choice:

PR corresponds to TR.

This is because they are opposite equal angles ( < Q and <S).

5a=a+40

Solve for a

3b=10b-49

Solve for b

Answers

Answer:

The first answer is a = 10, The second answer is b = 7

Step-by-step explanation:

Equation 1: 5a = a + 40

To solve for a, you want to isolate a on one side of the equation. You can do this by subtracting "a" from both sides of the equation:

5a - a = a - a + 40

This simplifies to:

4a = 40

Now, divide both sides by 4 to solve for a:

4a/4 = 40/4

a = 10

So, a = 10.

Equation 2: 3b = 10b - 49

To solve for b, you want to isolate b on one side of the equation. First, let's get the "b" terms on one side by subtracting 10b from both sides:

3b - 10b = 10b - 10b - 49

This simplifies to:

-7b = -49

Now, divide both sides by -7 to solve for b:

(-7b) / (-7) = (-49) / (-7)

b = 7

So, b = 7.

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, Area of ABCD

Answers

1. Consider right triangle ABK. In this triangle AB is the hypotenuse, BK and AK are legs. By the Pythagorean theorem,

$AB^2=AK^2+BK^2,\n\n6^2=3^2+BK^2,\n\nBK^2=36-9=27,\n\nBK=3√(3)\ un.$

2. Use the definition of $\cos \angle A:$

$\cos \angle A=\frac{\text{adjacent leg}}{\text{hypotenuse}}=(AK)/(AB)=(3)/(6)=(1)/(2).$

Then $m\angle A=60^(\circ).$

3. Consider right triangle ABD. In this triangle AD is the hypotenuse, AB and BD are legs. Since $m\angle A=60^(\circ),$ then

$m\angle BDA=180^(\circ)-90^(\circ)-60^(\circ)=30^(\circ).$

The leg that is opposite to the angle of 30° is half of the hypotenuse, so

$AD=2AB=12\ un.$

4. The area of parallelogram aBCD is

$A_(ABCD)=AD\cdot BK=12\cdot 3√(3)=36√(3)\ sq. un.$

A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline. The model is accurate for 0≤t≤4 . On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again?

Answers

Answer:

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Step-by-step explanation:

Given that a roller coaster ride reach a height of 80 feet.

The height above the ground of the roller coaster is modeled by the function

h(t)=10t²-40t+80

where t is measured in second.

h(t)=10t²-40t+80

Differentiating with respect to t

h'(t)= 10(2t)-40

⇒h'(t)=20t-40

To find the minimum height we set h'(t)=0

∴20t-40=0

⇒20t =40

⇒t=2

The height of the roller coaster minimum when t=2 s.

The minimum height of of the roller coaster is

h(2)= 10(2)²-40.2+80

=40-80+80

=40 feet.

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Answer:

Step-by-step explanation:

2,000 water bottles are being labeled and boxed. Each box holds 6 water bottles. How many bottles will be left over?1
2
4
5

Answers

We just have to divide 2,000 by 6
lets do the math:)
2,000 ÷ 6 = 333.333333333
So if we round this it becomes 2
So your answer is B.) 2

Answer: 2=b

Step-by-step explanation:

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