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3 years ago

The difference of two numbers is 120 and thier product is 3600 find them?

Mathematics

1 answer:

maksim [4K]3 years ago

7 0

Answer:

(144.8100,24.8128) (x,y)

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Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

What are the lcm of 4,2,4

Delicious77 [7]

The least common multiple of 2 and 4 is 4 .

Here's a useful hint to keep in mind:
If the smaller number is a factor of the larger number,
then the larger number is the LCM of both of them.

5 0

3 years ago

Read 2 more answers

Ashley can bake 64 cakes in 12 hours how many can she bake in 36 hours

mrs_skeptik [129]

Answer:

192 cakes

Step-by-step explanation:

36/12= 3

You multiply both numbers by 3:

12*3= 36 hours

64*3=192 cakes

192 cakes in 36 hours

6 0

3 years ago

Jessica purchased a 600-minute pre-paid phone card and called her sister at college. After talking to her sister "t" minutes, sh

Vesna [10]

Answer:

1) 600-t

2) 600-t=65

=>t=535

6 0

2 years ago

What is the domain for f(x) =26-2x?

anastassius [24]

Domain of f = R .............

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3 years ago