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3 years ago

What is sec(5pi/3) ?? Need Help

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

Step-by-step explanation:

When in doubt, have your calculator evaluate this.

___

The reference angle for 5π/3 is π/3. The angle is in the 4th quadrant, where the secant is positive.

sec(5π/3) = sec(π/3) = 1/cos(π/3) = 1/(1/2)

sec(5π/3) = 2

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A technology company produces two types of calculators.

lubasha [3.4K]

10 ≤ x ≤ 30, x < 2y, x < 40.

Solution:

Given x is the number of graphing calculators produced daily and

y is the number of scientific calculators produced daily.

Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.

⇒ 10 ≤ x < 30

Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

⇒ x < 2y

Step 3: The number of scientific calculators cannot exceed 40 per day.

⇒ x < 40

Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.

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3 years ago

Hunter needs 10 oz of a snack mix that is made up of seeds and dried fruit. The seeds cost $1.50 per ounce and the dried fruit c

alekssr [168]

You would have to get 3 ounces of seeds and 7 ounces of dried fruit for price per ounce of the mix would be 2.20

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3 years ago

The distance between two cities is 87 km. What is the distance between them on a map drawn at a scale of 1:600,000?

Alexxx [7]

Answer:

<u>The correct answer is 14.5 centimeters on the map would be the distance between these two cities.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Distance between two cities = 87 kilometers

Scale of the map = 1:600,000

2. What is the distance between them on a map with that scale?

For finding out the answer to this question, we need to:

A. Convert 87 kilometers to centimeters, that is the average distance measurement of the maps, this way:

87 kilometers = 87,000 meters (multiplying by 10³)

87,000 meters = 8'700,000 centimeters (multiplying by 10²)

B. Now we divide the measurement in centimeters by the scale, this way:

8'700,000/600,000 = 14.5

<u>The correct answer is 14.5 centimeters on the map would be the distance between these two cities.</u>

8 0

4 years ago

Read 2 more answers

Erica (35 kg ) and Danny (44 kg ) are bouncing on a trampoline. Just as Erica reaches the high point of her bounce, Danny is mov

Tema [17]

Answer:

v= 2.66 m/sec

Step-by-step explanation:

supposing we have to find their speed just as he grabs her.

Applying law of conservation of Energy

That is

p_i= p_f

Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.

final momentum p_f= (35+44)v

let the final velocity of combined body be v

therefore,

79v= 210.6

v= 2.66 m/sec.

5 0

3 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

amm1812

Answer: c. 0.0778

Step-by-step explanation:

Let X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We have ,

$P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778$

Thus , the correct answer is option c. 0.0778

8 0

3 years ago