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Nadya [2.5K]
2 years ago
6

40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6

Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

Answer: <em>Credit to work in process invetory-assembly</em>

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An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles.
Firlakuza [10]

Answer:

  • 10.4 miles

Step-by-step explanation:

Let the horizontal distance is x

<u>Use tangent to solve this:</u>

  • tan 30° = 6/x
  • x = 6 / tan 30°
  • x = 10.4 mi (rounded)
5 0
2 years ago
a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
2 years ago
SOLVE.PLS HELP HURRY I PUT TEN POINTS! click to see full and the lines mean the estimate here is the question:estimate then add
dimaraw [331]
The first one is 17 13/15 the second one is 22 1/20
4 0
3 years ago
I need help with 3, 4, 5, and 6
Ostrovityanka [42]
3. The answer is 18 because 12➗4= 3 so 6*3=18
3 0
2 years ago
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are
IRINA_888 [86]

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5 percent of these are defective.

This means that p = 0.05

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.0025 = 0.25% probability that both are defective

4 0
2 years ago
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