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klio [65]
3 years ago
13

In a right triangle ABC AB = 2cm BC =5cm and CA = square root of 29. what is angle A round to the nearest tenth

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

68.2°

Step-by-step explanation:

AC is the longest side which means 90° is at B

SinA = BC/AC

sinA = 5/sqrt(29)

sinA = 0.9284766909

A = 68.19859051

A = 68.2°

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What is the midpoint of the segment joining (2,6) and (10, 12)?
Black_prince [1.1K]

Answer:

M = (6,9)

Step-by-step explanation:

Given

(2,6) and (10, 12)

Required

Determine the midpoint

Midpoint, M is calculated as:

M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})

Substitute values if x1, y1, x2 and y2

M = (\frac{2 + 10}{2},\frac{6 + 12}{2})

M = (\frac{12}{2},\frac{18}{2})

M = (6,9)

5 0
3 years ago
Let v be a vector with initial point (-5, -11) and terminal point (6,2). What is v?
White raven [17]

Answer-The vector is

=

7

→

i

−

24

→

j

and the magnitude is

=

25

Explanation:

Let the point

A

=

(

−

2

,

7

)

and

B

=

(

5

,

−

17

)

Then,

−−→

A

B

=

(

5

−

(

−

2

)

−

17

−

7

)

=

(

7

−

24

)

The magnitude of

−−→

A

B

is

∣

∣

∣

∣

∣

∣

−−→

A

B

∣

∣

∣

∣

∣

∣

=

√

(

7

)

2

+

(

−

24

)

2

=

25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. 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% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both 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

0.25% probability that they are both defective

4 0
3 years ago
How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ?
Dimas [21]

Answer:

I hate to break it, but you ain't giving any information or numbers

7 0
3 years ago
An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 ce
Scorpion4ik [409]
Volume of the candle:
V = B * h ( where B is the base area and h is the height )
270 = B * 18
B = 270 : 18
B = 15 cm²
B = a * b / 2
B = 5 * b / 2
15 = 2.5 b
b = 15 : 2.5
b = 6 cm
Therefore dimensions of the box are: a = 7cm, b = 6 cm, c = 18 cm.
Answer: B ) 7 by 6 by 18 cm.
6 0
4 years ago
Read 2 more answers
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