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3 years ago

If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.

Mathematics

1 answer:

adell [148]3 years ago

7 0

Answer:

A = 40°

B = 50°

Step-by-step explanation:

If cos A = sin B, then A + B = 90

So, 2x/3 + 20 + 2x - 10 = 90

2x + 60 + 6x - 30 = 270

8x + 30 = 270

8x = 240

x = 30

2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40

2x - 10 = 2(30) - 10 = 60 - 10 = 50 or 90 - 40 = 50

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Calculate the quotient below and give your answer in scientific notation.<br> 2.64*10^-3\8.0*10^0

Zolol [24]

Answer:

The quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$ is: $\mathbf{3.3\times 10^{-4}}$

Step-by-step explanation:

We need to find quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$

We know that $10^0=1$

Now solving:

$\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033$

Writing it in scientific notation

$0.00033\\=3.3\times10^{-4}$

So, the quotient of: $\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}$ is: $\mathbf{3.3\times 10^{-4}}$

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3 years ago

Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2

mel-nik [20]

Answer:

A 454545 is the correct answer

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2 years ago

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Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?

Umnica [9.8K]

Answer:

Step-by-step explanation:

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2 years ago

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A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr

Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

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Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

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3 years ago