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andreev551 [17]
2 years ago
7

Pls show work?!!!!!!!

Mathematics
1 answer:
Paraphin [41]2 years ago
7 0

Answer: 55.5 (A.)

Step-by-step explanation:

Since angle A = 29 and angle B = 41, angle C must be equal to 110

180 = m<A + m<B + m<C

180 = 29 +41 + m<C

180 = 70 + m<C

110 = m<C

Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.

Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.

Law of Sines: sinA/a = sinB/b = sinC/c

sinA/a = sinB/b

sin29/41 = sin41/b

b(sin29/41) = sin41

b = 41(sin41)/(sin29)

b = 55.48

b = 55.5

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Using the graph below, find the point(s) such that the sum of their coordinates is equal to 7.
gregori [183]

Answer:

Only A, B and C are the points whose coordinates are equal to 7.

Step-by-step explanation:

Considering the point A

As the location of point A is (0, 7)

The sum of their coordinates is equal to 0 + 7 = 7

Considering the point B

As the location of point B is (2, 5)

The sum of their coordinates is equal to 2 + 5 = 7

Considering the point C

As the location of point C is (6, 1)

The sum of their coordinates is equal to 6 + 1 = 7

Considering the point D

As the location of point D is (4, -3)

The sum of their coordinates is equal to 4 + ( -3 ) = 1

Considering the point E

As the location of point E is (1, -6)

The sum of their coordinates is equal to 1 + ( -6 ) = -5

Considering the point F

As the location of point F is (-2, -4)

The sum of their coordinates is equal to -2 + ( -4 ) = -2 - 4 = -6

Considering the point G

As the location of point F is (-5, -2)

The sum of their coordinates is equal to -5 + ( -2 ) = -5 - 2 = -7

Considering the point H

As the location of point H is (-4, 3)

The sum of their coordinates is equal to -4 + ( 3 ) = -4 + 3 = -1

From the above discussion, only A, B and C are the points whose coordinates are equal to 7.

7 0
3 years ago
Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequencea_n=4n-7 , the parameter n must to be a integer.

Second, we need to solve the equations by  n.

n=(a_n+7)/4

All the option in the problem represent an a_n

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

n=(29+7)/4=9\\

For B)

n=(21+7)/4=7\\

For C)

n=(20+7)/4=6.75\\

For D)

n=(28+7)/4=8.75\\

Only A) and B)  only A and B meet the requirement

4 0
3 years ago
May someone please help me please? This is about exponents by the way. About 5 questions I need help with.
Sloan [31]

Answer:

2x2x2x2x2x2x2=8/3=1 2/3

8x8x8=512

1/6x1/6x1/6= 1/216

5/8x5/8=1 2/8

Step-by-step explanation:

i hope this helps

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6 0
3 years ago
Suppose that in one metropolitan area, 25% of all home- owners are insured against earthquake damage. Four home-owners are to be
emmasim [6.3K]

Answer:

Step-by-step explanation:

Given that,

25% home owners are insecure of earthquake problem

If we select 4 home owners at random

let X denote the number among the four who have earthquake insurance

Let find the probability distribution of X

Let S- denotes a home owner who has insurance

Let F denotes a home owner who does not have insurance.

Then, P(S) =25% = 0.25

P(F) = 1 — P(S) = 1 —0.25

P(F) = 0.75

The possible outcomes of X is

X(0) = If no person has insurance

X(1) = If only 1 person has insurance

X(2) = If only 2 persons has insurance

X(3) = If only 3 persons has insurance

X(4) = If only 4 persons has insurance.

The cardinality of the sample space is n(C) = 2ⁿ = 2⁴ => 16

So, the sample space is given as

{FFFF, FFFS, FFSF, FFSS, FSFF, FSFS, FSSF, FSSS, SFFF, SFFS, SFSF, SFSS, SSFF, SSFS, SSSF, SSSS}

For X=0, the possible is {FFFF} i.e. no insurance, the one without insurance.

P(X) = 0.25×0.25×0.25×0.25

P(X) = 0.25⁴

P(X) = 0.00390625

For X=1, the possible outcome are

FFFS, FFSF, FSFF, SFFF

P(X=1) = 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75

P(X=1) = 0.046875

For X=2 the possible outcomes are

FFSS, FSFS, FSSF, SFFS, SFSF, SSFF,

P(X=2)=0.25²•0.75²+0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²

P(X=2) = 0.2109375

For X=3 the possible outcomes are

FSSS, SFSS, SSFS, SSSF

P(X=3) = 0.25•0.75³+0.25•0.75³+ 0.25•0.75³+0.25•0.75³

P(X=3) = 0.421875

X=4 the possible outcomes are

SSSS

P(X=4) = 0.75×0.75×0.75×0.75

P(X=4) = 0.31640625.

Or

Using normal distribution

P(X=k) = ⁿCk • 0.25^k • 0.75^(4-k)

So,

P(X=0) = 4C0 • 0.25^0 • 0.75^4

P(X=0) = 0.31640625

P(X=1) = 4C1 • 0.25^1 • 0.75^3

P(X=1) = 0.421875

P(X=2) = 4C2 • 0.25^2 • 0.75^2

P(X=2) = 0.2109375

P(X=3) = 4C3 • 0.25^3 • 0.75^1

P(X=3) = 0.046875

P(X=4) = 4C4 • 0.25^4 • 0.75^0

P(X=4) = 0.00390625.

6 0
3 years ago
GIVING BRAINLIEST ONCE AGAIN
Andru [333]

Answer:

45

Step-by-step explanation:

divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.

3 0
3 years ago
Read 2 more answers
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