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3 years ago

Are vectors parallel

Mathematics

1 answer:

kiruha [24]3 years ago

3 0

"Two vectors are perpendicular if their dot product is zero, and parallel if their dot"

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The room itself measures 64 feet by 48 feet. The carpet is 9 feet by 13 feet. Find the area of floor outside the carpet

Anna [14]

Answer: 2,955 feet squared.

Step-by-step explanation: The area is the width times the height. The area of the whole room is 64*48=3,072 and when excluding the area of the carpet which is 9*13=117 you get 3,072-117=2,955 feet squared.

6 0

3 years ago

Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar

Nutka1998 [239]

Answer:

At least 3 processing booths should be open.

Step-by-step explanation:

1 vehicle spends an average of 15 seconds in a booth

In N booths , there will be N/15 vehicles in 1 second

In 1 hr, there will be N/15 * 3600 vehicles

Therefore, there will be a total of 240N vehicles/hour

Actual arrival rate of vehicles at the airport is 500 veh/h

Probability of arrival, P = $\frac{Number of possible outcomes}{Total outcomes}$

P = 500/240N

P = 2.083/N

For the average time spends to be below 5 seconds

$\frac{(\frac{P^{2} }{1-p} )}{500} = 5$ , since 500 is the average value.

$\frac{P^{2} }{1-p} } = 2500\\P^{2} = 2500 (1-P)\\P^{2} = 2500 - 2500P\\(\frac{2.083}{N}) ^{2} = 2500 - 2500(\frac{2.083}{N})$

$2.083^{2} = 2500N^{2} - 5208N\\2500N^{2} - 5208N - 4.34 = 0$

$N^{2} -2.0832N - 0.0017 = 0$

Solving for N using the quadratic formula with a = 1, b = -2.0832, c = -0.0017

$N = \frac{-b \pm \sqrt{b^{2} -4ac} }{2a} \\N = \frac{2.0832 \pm \sqrt{(-2.0832)^{2} -4*1*(-0.0017)} }{2}$

N = 1.0416 ± 1.0424

N = 2.084 or -0.0008

N = 2.084 is the only realistic value here

Therefore, the smallest number of processing booths that must be open should be 3

5 0

2 years ago

On a ΔABC, mΔA=80, mΔB=60<br> Find mΔC

Furkat [3]

The measure of angle C (m ∠C) is 40°

<h3>Calculating angles in a triangle </h3>

From the question, we are to determine the measure of angle C (m ∠C)

In any given triangle, the sum of all the angles is 180°

Thus,

In ΔABC, the angles sum up to 180°

That is,

∠A + ∠B + ∠C = 180°

From the given information,

m ∠A = 80°, m ∠B = 60°

Thus,

80° + 60° + m ∠C = 180°

140° + m ∠C = 180°

m ∠C = 180° - 140°

m ∠C = 40°

Hence, the measure of angle C (m ∠C) is 40°

Learn more on Calculating angles in a triangle here: brainly.com/question/17738179

#SPJ1

4 0

2 years ago

A belt <br> B earrings <br> C scoop neck tee <br> D skinny jeans <br> E tank top

Goshia [24]

The answer would be B. Earrings.

4 0

2 years ago

Which function is the inverse of f(x) = 2x + 3?

olga_2 [115]

Answer: Option 2

Step-by-step explanation:

Let f(y)=x.

$x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}$

8 0

2 years ago