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Daniel [21]
2 years ago
10

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8

centimeters, and the length of A C is 6.9 centimeters. Which expressions can be used to find m∠BAC? Select three options. cos−1(StartFraction 6.9 Over 12 EndFraction) cos−1(StartFraction 9.8 Over 12 EndFraction) sin−1(StartFraction 6.9 Over 12 EndFraction) sin−1(StartFraction 9.8 Over 12 EndFraction) tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Mathematics
2 answers:
Alexeev081 [22]2 years ago
6 0

Answer:

<h2>First and Fourth choices are correct.</h2>

Step-by-step explanation:

In the image attached you can observe the triangle described in the problem.

To find the measure of angle BAC, we just need to use trigonometric reasons. Notice that we already have all sides, so it doesn't matter which reason we use.

cos(\angle BAC)=\frac{6.9cm}{12cm} =0.575\\\angle BAC = cos^{-1} (0.575) \approx 55\°

This means the first choice is correct.

sin(\angle BAC)=\frac{9.8cm}{12cm}\\\angle BAC = sin^{-1} (\frac{9.8cm}{12cm})

The fourth choice is correct.

tan(\angle BAC)=\frac{9.8cm}{6.9cm}\\\angle BAC = tan^{-1}(\frac{9.8cm}{6.9cm})

The last choice is not correct, because that option is showing the inverse of the tangent function.

Paha777 [63]2 years ago
4 0

Answer:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Step-by-step explanation:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

tan = opp/adj = 9.8/6.9

tan -1 = 1 / tan = 1 / (9.8 /6.9) = 6.9 /9.8

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Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from t
Over [174]

Answer:

1) a. False, adding a multiple of one column to another does not change the value of the determinant.

2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

Step-by-step explanation:

1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A

a. False, adding a multiple of one column to another does not change the value of the determinant.

2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.

d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

3 0
2 years ago
Determine the density in g/cm3 of a mineral that has a volume of 3.8 cm3 and a mass of 22.4 g.
kherson [118]

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

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4 0
2 years ago
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,
Elodia [21]

Answer:

29 minutes

Step-by-step explanation:

Given

Total = \$43.25

Entrance\ Fee = \$7

Per\ Minute = \$1.25

Required

Determine the number of minutes (t) that he was on the trampoline.

This can be expressed as:

Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t

Where t represents the number of minutes

Substitute values for Total, Entrance Fee and Amount per minute

43.25 = 7 + 1.25 * t

43.25 = 7 + 1.25t

Solving further to get the value of t, we have:

1.25t = 43.25 - 7

1.25t = 36.25

t = 36.25/1.25

t = 29

3 0
2 years ago
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The results of a race car are shown. Determine who drove the fastest. Explain.
monitta

We have to calculate speed for 1 lap for all of 'em.

Cutwright - 84/35 = 2.4 mins for 1 lap

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Liza- 102.6/38 = 2.7 mins for 1 lap

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2 years ago
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Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

45000\times\frac{8.5}{100} = $3825  (this is yearly)

And for 1st month it will be = \frac{3825}{12}=  $318.75  

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Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
2 years ago
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