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timama [110]
3 years ago
6

Heya!

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

See Below.

Step-by-step explanation:

We are given that ABC is a triangle in which AB = AC.

A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.

And we want to prove that AD = AE.

By the secant-secant theorem (shown below), we know that:

AD(AB)=AE(AC)

We are given that AB = AC. So, by substitution:

AD(AB)=AE(AB)

And by dividing both sides by AB (AB ≠ 0), we acquire:

AD=AE

Q.E.D.

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Help plz!
sattari [20]

Answer:

B

Step-by-step explanation:

Corresponding angles form a sideways U when you connect the angles.

b is the only one that does that.

1 and 4 are consecutive angles.

1 and 3 are vertical angles

4 and 3 are linear pair angles.

7 0
3 years ago
Find area, answer in terms of π​
Tcecarenko [31]

Answer:

Step-by-step explanation:

radius of circle=4

diameter=4×2=8

width=2 half circles means diameter=8

length=2 diameters=2×8=16

area=16×8=128

4 half circles make two circles

area of two circles=2×π r^2=2×π×4²=32 π

reqd . area=128-32 π=32(4-π)

4 0
3 years ago
The probability that a single radar station will detect an enemy plane is 0.65.
taurus [48]

Answer:

a) We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

b) If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

Step-by-step explanation:

For each station, there are two two possible outcomes. Either they detected the enemy plane, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

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 combinatios 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.

In this problem, we have that:

The probability that a single radar station will detect an enemy plane is 0.65. This means that n = 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

This is the value of n for which P(X = 0) \leq 0.02.

n = 1.

P(X = 0) = C_{1,0}.(0.65)^{0}.(0.35)^{1} = 0.35

n = 2

P(X = 0) = C_{2,0}.(0.65)^{0}.(0.35)^{2} = 0.1225

n = 3

P(X = 0) = C_{3,0}.(0.65)^{0}.(0.35)^{3} = 0.0429

n = 4

P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015

We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?

The expected number of sucesses of a binomial variable is given by:

E(x) = np

So when n = 7

E(x) = 7*(0.65) = 4.55

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

6 0
2 years ago
Rudy worked hard all summer. Before school starts he decided to go shopping and spend some of his earnings. He spent one third o
Rudiy27

Answer:

This is a constant problem. He kept on spending 1/3 of his money. The inverse number of 1/3 is 3. Basically the fraction flipped. So he spent 1/3 of his money 4 times. So we multiply 16*3*3*3*3. Multiply by 3 four times. 16*3 is 48. 48*3 is 144. 144*3 is 432. 432*3 is 1296. He started with 1296 dollars. If hes a kid hes rich.

Step-by-step explanation:


6 0
3 years ago
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an
Cloud [144]

Answer:

Step-by-step explanation:

<em>2( 2x + 6 ) + 2( x - 3 ) ≤ 66</em>

3x - 3 ≤ 33

x ≤ 10

x ∈ ( - ∞ , 10]

3 0
3 years ago
Read 2 more answers
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