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tigry1 [53]
4 years ago
14

The length of the hypotenuse of a 30°-60°-90° triangle is 7. Find the perimeter

Mathematics
2 answers:
ki77a [65]4 years ago
6 0
Rules for a 30-60-90 right triangle:
hyp = 2 * short leg
Long leg = sqrt(3) * short leg
Given:
hyp = 7
7 = 2*short leg
divide both sides by 2
7/2 = short leg
long leg = sqrt(3) * short leg
long leg = sqrt(3) * (7/2)
long leg = 6.06
P= s1 + s2 + s3
P = 7 + 3.5 + 6.06
P = 16.56 units      (Decimal approximation)
P = 10.5 + 3.5sqrt(3) units       (Exact value)
Novosadov [1.4K]4 years ago
3 0
The shortest leg  = 1/2 * 7 = 3.5
longest leg = 7 * sqrt 3 = 12.12

Perimeter = 7 + 3.5 + 12.12  =  22.62 to nearest hundredth
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The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.
Semenov [28]
The two numbers are 9 and 12.
6 0
3 years ago
What is 13 nickels combined with 6 dimes?
Setler [38]
125 = 6 dimes = 60 and 13 nickles = 65

60+65= 125

Hope i was the brainliest asnwer.
6 0
3 years ago
Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original c
earnstyle [38]

Answer:

<u>Joel will have to pay $ 159.60 for the tablet.</u>

Step-by-step explanation:

1. Information given to us to answer the question correctly:

Discount percentage of the tablets = 20%

Original cost of the tablet = $ 190

Sales tax = 5%

2. How much will Joel pay for the tablet? Show your work in your notebook. Remember to use $.

Let's find the discounted price and the sales tax for that price, this way:

Discounted price = Original price - Discount

Discounted price = 190 - (190 * 0.2)

Discounted price = 190 - 38 = 152

Sales tax of the discounted price = 152 * 0.05

Sales tax = 7.60

Joel will have to pay = Discounted price + Sales tax

Joel will have to pay = 152 + 7.60

<u>Joel will have to pay = $ 159.60</u>

5 0
3 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
3 years ago
What divided by 2 minus 5 equals 12
Serga [27]

Answer:34

Step-by-step explanation:

12+5=17.

17 times 2 equals 34

Do the opposite of what it asked. Work backward time get answer

7 0
3 years ago
Read 2 more answers
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