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sergeinik [125]
1 year ago
14

Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.

Mathematics
1 answer:
omeli [17]1 year ago
7 0

Answer:

it should be either a or b

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∠A and ∠B are complementary angles of right triangle ABC, cos A = 0.83, and cos B = 0.55. What is sin A + sin B?
sergiy2304 [10]
As the angles are complementary sin A = cos B and  sin B = cos A

so sin A + sin B =  0.55 + 0.83 =  1.38
4 0
1 year ago
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Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
Nutka1998 [239]
Helena can make 2 loaves of  bread and 4 batches of muffins.
6 0
1 year ago
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Prove the following with Euler's formula to write e^itheta and e^-itheta in terms of sine and cosine. Then subtract them.
kirill115 [55]
Euler's formula tells us that

e^{i\theta}=\cos\theta+i\sin\theta
e^{-i\theta}=\cos\theta-i\sin\theta

Suppose we subtract the two. This eliminates the cosine terms.

e^{i\theta}-e^{-i\theta}=i\sin\theta-(-i\sin\theta)=2i\sin\theta

Divide both sides by 2i and you're done.
8 0
1 year ago
4. The data shows the number of siblings each student in a 9th-grade class has.
antiseptic1488 [7]

Answer:

The correct option is Mean and standard deviation.

Step-by-step explanation:

The data set provided, arranged in ascending order is:

S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}

Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When  she returned, they found out she actually has 9 siblings.

So, the new data set is:

X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}

The mean of a data set is the average value representing the entire data.

\bar X=\frac{1}{n}\sum X_{i}

The median is the middle value of the data set.

The inter-quartile range is the difference between the first and the third quartile.

The standard deviation is the value that represents how dispersed the data values are.

SD=\sqrt{\frac{1}{n}\sum (X_{i}-\bar X)^{2}}

From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.

So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.

Thus, the correct option is Mean and standard deviation.

3 0
1 year ago
Last month the ending balance on Maryanne’s Mastercard was $1,789, the average daily balance was $755, and the monthly periodic
melisa1 [442]

Answer:

False

Step-by-step explanation:

Based on the information given we can calculate the finance charge of Maryanne’s by simply multiplying her average daily balance which is the amount of $755 times her monthly periodic rate which is 0.0185.

Hence, Maryanne's finance charge is calculated by using this formula

Finance charge=Average daily balance*Monthly periodic rate

Let plug in the formula

Finance charge= $755* 0.0185

Finance charge= $13.97

Therefore Maryanne's finance charge will be $13.97

4 0
1 year ago
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