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Colt1911 [192]
3 years ago
9

Find AB. Round to the nearest tenth. 61°

Mathematics
2 answers:
alekssr [168]3 years ago
8 0
AB~ 14.3 i believe but Im not sure
anzhelika [568]3 years ago
6 0

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

c^2=a^2+b^2-2ab\cos{C}

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}

Substituting these values into the law of cosines:

c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3

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The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x)=2f(x)
malfutka [58]

Answer:

see the explanation

Step-by-step explanation:

we know that

g(x)=2f(x)

so

Find the value of g(x) for the corresponding value of f(x)

1) For x=-6, f(x)=2

Substitute

g(x)=2f(x)

g(x)=2(2)=4

2) For x=-2, f(x)=2

Substitute

g(x)=2f(x)

g(x)=2(2)=4

3) For x=0, f(x)=6

Substitute

g(x)=2f(x)

g(x)=2(6)=12

4) For x=1, f(x)=3

Substitute

g(x)=2f(x)

g(x)=2(3)=6

4) For x=6, f(x)=-1

Substitute

g(x)=2f(x)

g(x)=2(-1)=-2

3 0
3 years ago
Read each problem carefully and solve as required then answer the questions that follow
zepelin [54]

Answer:

Step-by-step explanation:

1) Number of children = c

Number of adults = a

Total ticket = 250

c + a = 250 -------------------(I)

Cost of 'c' children tickets = 200c

Cost of 'a' adult tickets =  450a

Total cost = 76000

200c + 450a = 76000  ------------------(II)

Multiply (I) by (-200) and then add

(I)*(-200)          -200c - 200a = -50000

(II)                    <u> 200c + 450a = 76000 </u>

<u> </u>                                    250a = 26000

                                           a = 26000/250

a = 104

Plug in a = 104 in equation (1)

c + 104 = 250

         c = 250 - 104

        c = 146

2)Number of children = 146

Number of adults = 104

7 0
3 years ago
Given MTS and SQP, find sq
STALIN [3.7K]

The measure of the side SQ from the given diagram is 19/6

<h3>Similar shapes</h3>

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP =  3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6  - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

Learn more on similar triangles here: brainly.com/question/4163594

#SPJ1

5 0
2 years ago
What types of symmetry does a triangle have
vredina [299]

Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry

3 0
3 years ago
Read 2 more answers
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
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