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postnew [5]
3 years ago
11

In ΔABC, ∠CAD = 22° and segment CB = 15 cm. If the cos of 22° = 0.9272, then the sin of ∠C = _______.

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:

Option B. 0.9272

Step-by-step explanation:

In the given triangle ABC, ∠CAD = 22° segment CB = 15 cm.

We have to find sin of ∠C.

In the given triangle ADC,

∠CAD + ∠ADC + ∠DCA = 180

22° + 90° + ∠DCA = 180

∠DCA = 180 - 112 = 68°

Now we have to get the value of sinC or sin of angle DCA

Therefore sinC = sin 68° = 0.9272

Option B. 0.9272 is the correct option.

rusak2 [61]3 years ago
3 0
Your answer is B. 0.9272. Hope I was able to help!
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2 years ago
Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

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The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

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3 years ago
What is the mode of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44
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Hey there!

Mode is basically the number you see more than once,

64, 72, 74, 68, 70, 68, 68, 75,  44\\ \\ Mode: 68

Your answer would be: 68 because it appeared approximately 3 times in this data set

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6 0
3 years ago
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Answer:

4 sets of 25

Step-by-step explanation:

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Not sure what you are asking in the end.

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2 years ago
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