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3 years ago

Find the value of each trigonometric ratio

Mathematics

1 answer:

oee [108]3 years ago

3 0

:) Hope this answers your question :)

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Can you guys help me solve this ?

Serhud [2]

Answer:

10i

Step-by-step explanation:

4 0

3 years ago

Mr. Harper's car used 5 gallons of gasoline to travel 150 miles. After he had some work done on the cars engine ,it used it used

Doss [256]

Answer:

38.5 dollars

Step-by-step explanation:

Because if he used 3.50 dollars per a gallon that makes

6+5

=11

11*3.50

=35.5

3 0

3 years ago

Read 2 more answers

If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

4 years ago

Which two statements below are true ?

Marrrta [24]

A) 2/6 = 1/3
1/3 = 1/3

True
------

b) 1/3 > 2/4
1/3 > 1/2

False
------

c) 1/8 > 3/4

False
------

d) 2/5 < 1/2

True
------

e) 4/12 < 1/6

False
------

f) 3/5 = 7/10

False
------

This is all just a process of simplifying fractions down.

The only 'true' statements there are is option A and D.

6 0

3 years ago

Dan bought 4 kilograms of dog food.

Nitella [24]

Since a kilogram is 1000 grams, 4*1000=4000 kilograms, which is your answer

3 0

3 years ago