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Artyom0805 [142]
3 years ago
13

Measure the lengths of the sides of ∆ABC in GeoGebra, and compute the sine and the cosine of ∠A and ∠B. Verify your calculations

by finding the sine and cosine of ∠A and ∠B using a calculator
Mathematics
2 answers:
marusya05 [52]3 years ago
8 0

Answer:

Sin \angle A =0.80

Cos \angle A=0.60

Sin \angle B =0.60

Cos \angle B=0.80

Step-by-step explanation:

Given

I will answer this question using the attached triangle

Solving (a): Sine and Cosine A

In trigonometry:

Sin \theta =\frac{Opposite}{Hypotenuse} and

Cos \theta =\frac{Adjacent}{Hypotenuse}

So:

Sin \angle A =\frac{BC}{BA}

Substitute values for BC and BA

Sin \angle A =\frac{8cm}{10cm}

Sin \angle A =\frac{8}{10}

Sin \angle A =0.80

Cos \angle A=\frac{AC}{BA}

Substitute values for AC and BA

Cos \angle A=\frac{6cm}{10cm}

Cos \angle A=\frac{6}{10}

Cos \angle A=0.60

Solving (b): Sine and Cosine B

In trigonometry:

Sin \theta =\frac{Opposite}{Hypotenuse} and

Cos \theta =\frac{Adjacent}{Hypotenuse}

So:

Sin \angle B =\frac{AC}{BA}

Substitute values for AC and BA

Sin \angle B =\frac{6cm}{10cm}

Sin \angle B =\frac{6}{10}

Sin \angle B =0.60

Cos \angle B=\frac{BC}{BA}

Substitute values for BC and BA

Cos \angle B=\frac{8cm}{10cm}

Cos \angle B=\frac{8}{10}

Cos \angle B=0.80

Using a calculator:

A = 53^{\circ}

So:

Sin(53^{\circ}) =0.7986

Sin(53^{\circ}) =0.80 -- approximated

Cos(53^{\circ}) = 0.6018

Cos(53^{\circ}) = 0.60 -- approximated

B = 37^{\circ}

So:

Sin(37^{\circ}) = 0.6018

Sin(37^{\circ}) = 0.60 --- approximated

Cos(37^{\circ}) = 0.7986

Cos(37^{\circ}) = 0.80 --- approximated

Nat2105 [25]3 years ago
3 0

Answer:

Lengths

AB = 13

BC = 5

AC = 12

A Sin = 0.38 A Cos = 0.92

B sin = 0.92 B Cos = 0.38

Also there is a image of the answer

Step-by-step explanation: for Plato/edmentum

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Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
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Answer:

C) $20.80

Step-by-step explanation:

1 kg of cooking oil = $6.5

1 packet of cooking oil =2/5 kg

If 1 kg of cooking oil = $6.5

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1kg × $X = 2/5kg × $6.5

$X = 13/5

$X = 2.6

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Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

$2.5 × 8

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7 0
3 years ago
Ceasar wants to save up his money to buy a house. He currently has $32,000 in his savings account and wants to have $275,000. Wh
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Answer:

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Step-by-step explanation:

We apply the simple interest formula;

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interest = 275000 - 32000

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Applying the simple interest formula;

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6 0
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What is the volume of a sphere with a radius of 6 mm?
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Answer:

V = 904.779\,mm^{3}

Step-by-step explanation:

The volume of a sphere can be determined by using the following formula:

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5 0
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Max was on vacation twice as long as Jerrad and half as long as Wesley. The boys were on vacation a total three weeks. How long
mote1985 [20]
3 weeks = 21 days
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X+2X+4X=21
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5 0
2 years ago
At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and
Ugo [173]

Answer:

Yes, he made a reasonable inference by saying about 25 percent of students choose the science.

Step-by-step explanation:

Given that

Number of students for survey = 50

Number of students who choose science = 12

Now

Percentage of student who choose science = \frac{12}{50} x 100

Percentage of student who choose science = \frac{12*100}{50}

Percentage of student who choose science = 24 %

Now as Mr. Yule said "about 25" percent of students choose the science it can be treated as reasonable approximation.

Now if the number of students in survey become 200, then we can expect 12 out of every 50 students would choose the science. So, in total 48 students would choose the science.

Now lets calculate the percentage of students who choose science.

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7 0
2 years ago
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