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steposvetlana [31]
3 years ago
11

hello again I need to find an equation to find the long side of the triangle. but this time only the hypotenuse is given. brainl

iest if you get it right :)))​

Mathematics
2 answers:
Hunter-Best [27]3 years ago
3 0

Answer:

The answer to your question is Long = 10.39

Step-by-step explanation:

Data

hypotenuse = 12

long = ?

Process

1.- To find Long, we must use the trigonometric functions sine or cosine.

If we use sine, we use the 60° angle

If we use cosine, we use the 30° angle

a) sin 60 = long / hypotenuse

   Long = hypotenuse x sin 60

   Long = 12 x sin 60

   Long = 10.39

b) cos 30 = Long / hypotenuse

   Long = hypotenuse x cos 30

   Long = 12 x cos 30

  Long = 10.39

lukranit [14]3 years ago
3 0

Answer:

<h2>Long = 6√3</h2>

Step-by-step explanation:

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : 2 : √3.

(<em>short : hypotenuse : long</em>)

We have <em>hypotenuse = 12</em>.

Therefore

<em>short = 12/2 = 6</em>

<em>long = 6√3</em>

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2. Find the simple interest on a $2,350 principal deposited for 15 months at a rate of 3.77%
Katen [24]

To  solve for Simple interest, we use the formula:

I = Principal x Rate x Time(year)

where:

I = Simple interest = ?

Principal = $2,350

Rate = Rate on Interest = 3.77% = 0.0377

Time = 15 months, we have to convert 15months to year

12 months = 1 year

15 months = ?

Cross multiply

= 15 x 1/12

= 1.25 year

The Simple interest is calculated as:

$2350 x 0.0377 x 1.25

= $110.74375

Approximately = $110.74

Therefore, the simple interest on $2,350 is $110.74

To learn more, visit the link below:

brainly.com/question/19088526

3 0
3 years ago
13. Given that y varies as x^2 and that y = 36 when x=3, find:
saw5 [17]

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

y = kx {}^{2}  \\ finding \: k \: when \:  y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2}  \\ 36 = 9k \\ dividing \: through \: by \: 9 \\  \frac{36}{9}  =  \frac{9k}{9}  \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2}  \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x  \\ 64 = 4x \\ dividing \: through \: by \: 4 \\  \frac{64}{4}  =  \frac{4x {}^{2} }{4}   \\ 16 = x {}^{2}  \\ square \: root \: bothsides \\  \sqrt{16}  = x {}^{2}  \\ 4 =  x \\ x = 4

3 0
1 year ago
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hy
Shkiper50 [21]

Answer:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

On this case we can assume that the researcher conduct a one right tailed test hypothesis like on this way:  

Null hypothesis:\mu \leq \mu_o  

Alternative hypothesis:\mu > \mu_o

The statistic for this case is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

On this case we have the value for z score given z =+1.85

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05,0.01. The next step would be calculate the p value for this test.  

Since is a one right tail test the p value would be:  

p_v =P(z>1.85)=1-P(Z  

If we compare the p value obtained and the significance level given \alpha=0.05,0.01 we can take a decision:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

YES, since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level. And for the significance level 0.05 we have that p_v and we can reject the null hypothesis.

B) The researcher should reject the null hypothesis with either a = .05 or a = .01.

No since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level

C) The researcher should fail to reject H0 with either a = .05 or a = .01.

No, for the significance level of 0.05 we reject the null hypothesis since p_v

D) This cannot be answered without additional information.

No, we have enough info to answer the question

4 0
3 years ago
2.
Anarel [89]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Help! open the attachment below!
gregori [183]

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

6 0
2 years ago
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