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ella [17]
3 years ago
12

Sin (3x+19)=Cos(5x-25) What is the value of x? A) 6 B) 12 C) 18 D) 24

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0
12 B
Took the test before
malfutka [58]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

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Eight times a number is the same as 30 less than 5 times the number. Find the number?
Charra [1.4K]

Answer:

x = -10

Step-by-step explanation:

We just have to translate the problem correctly

>8 times a number is the same

this tells me that

8x = ...

>as 30 less than 5 times the number.

... = 5x - 30

Now set them equal to eachother

8x = 5x - 30

Now isolate the variable x

8x - 5x = 5x - 5x - 30\\3x = -30\\x = \frac{-30}{3} = -10

6 0
3 years ago
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A graphic designer creates an image for a t-shirt that measures 8 inches tall and 10 inches wide. She can use this image for sma
jeka57 [31]
1.125 times 8=9
1.125times10=11.25

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8 0
3 years ago
A group of students are going on a trip and the trip costs $36.50 per student which
goblinko [34]

Answer:

$18

Step-by-step explanation:

Let's subtract the lunch from the trip total to get the remainding cost!  

36.50 - 9.50 =  $27

Now let's set up an equation to figure out the amount of the entrance ticket and the gift coupon!

let's have x = the entrance ticket

27 = x + 1/2(x) -----------> 1/2 is next to x, because the gift coupon is 1/2, or 50% of the entrance ticket! Now solve for x!

27 = 3/2x

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3 years ago
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rosijanka [135]

Answer:

1) x = -1 or x = -10 (either of them are both correct)

2) x = 3 or x = -5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2 + 11x + 10 =0

Step 1: Factor left side of equation.

(x + 1)(x + 10) = 0

Step 2: Set factors equal to 0.

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Answer:

x = −1 or x = −10

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Answer:

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Which inequality is shown?
gogolik [260]

Answer:

affirmative action

Step-by-step explanation:

4 0
3 years ago
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