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QveST [7]
3 years ago
8

Solve the following triangle completely.

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C  using the sine rule.

Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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malfutka [58]

Answer:

Yeah you are correct

Step-by-step explanation:

4 0
2 years ago
Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter
zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

V(t)=P(1+\frac{r}{n})^{nt}

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
NEED HELP ASAP!!!
Sergeeva-Olga [200]

Answer:

(b) P(\textrm{Event of getting a 3 in the spinner)}  =  \frac{11}{61}

Step-by-step explanation:

Let E: Event of getting a 3 in the spinner.

So, the number of favorable outcomes  =  11

Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}

= {13 +10 +11+16+11}  = { 61}

So, the total number of outcomes = 61

\textrm{Probability of Event E}  = \frac{\textrm{Number of favorable events}}{\textrm{Total number of outcomes}}

So, here P(\textrm{Event of getting a 3 in the spinner)}  =  \frac{11}{61}

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The smaller triangle was dilated to form the larger triangle what is the value of x
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Answer:

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