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Dafna11 [192]
3 years ago
15

Find all the missing sides and angles of this triangle,

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

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Answer:

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Step-by-step explanation:

We are given;

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k = 0.1229

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Plugging in the relevant values;

12.5 = 25 × e^(-0.1229t)

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4 0
3 years ago
The frequency of the musical note C4 is about 261.63 Hz. What is the frequency of the note a perfect fifth below C4?
kolbaska11 [484]

Answer:

The frequency of the note a perfect fifth below C4 is;

B- 174.42 Hz

Step-by-step explanation:

Here we note that to get the "perfect fifth" of a musical note  we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have

1.5 × Frequency of note Y = Frequency of C4

1.5 × Y = 261.63

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6 0
3 years ago
A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs reveale
djyliett [7]

Answer and Step-by-step explanation:

a) H o : there is no relation between job pressure and age

H 1: there is a relation between job pressure and age

b) See file attached.

c) Test statistic: For the given categorical data, we apply the x² — test Test statistic is 2.19

d) The test statistic value x² = 2.19 < 16.81, we accept the null hypothesis. Therefore, we conclude that there is no relationship between job pressure and age.

Download txt
6 0
3 years ago
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Ne4ueva [31]

Answer:

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6 0
3 years ago
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lilavasa [31]
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3 years ago
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