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viva [34]
3 years ago
15

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 51 degrees. How high does the lad

der reach up the side of the building? Please round your answer to 2 decimal places.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

19.43 ft

Step-by-step explanation:

Using SOHCAHTOA,

opposite = x

Hypothenus = 25ft

Sin α = opposite /Hypothenus

Sin 51° = x/25

x = 25(Sin51°)

x = 19.4286

x = 19.43(approximate to 2 d.p)

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Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.
Helga [31]

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

6 0
2 years ago
Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac
dangina [55]

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

A=P(1+\dfrac{r}{12})^{t}

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\   P=\dfrac{130000}{1.2055266}=107,836.69

Hence he need to invest $107,836.69 .

8 0
3 years ago
Solve by elimination <br> 5x-y=12 <br> 3x+2y=2
Ber [7]
(2)5x-y=12
   3x+2y=2
10x-2y=12
 3x+2y=2
13x=2
x=0.15
7 0
2 years ago
Read 2 more answers
From the information​ given, what is the biggest flaw in the​ study? A health researcher randomly selected 500 high school stude
Black_prince [1.1K]

Answer:

The correct answer is - The setting may discourage honest responses.

Step-by-step explanation:

In this particular setting of research and interview regarding this research may not produce hones results as the question is too direct to ask students if they had ever used drugs.

Research should be anonymous and should avoid the questions that can lead to bias results like this case that may lead to dishonest results.

Thus, the correct answer is : The setting may discourage honest responses.

5 0
2 years ago
So what is 1.025 as a percent?
svlad2 [7]

Answer:

1.025%

Step-by-step explanation:

1.025 / 100 = 1.025%

Hope this helps

8 0
3 years ago
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