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Answer:

sin2x = [tex]\frac{30}{34}[/tex]

Step-by-step explanation:

Given

tanx = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 3 and 5

Let the hypotenuse be h , then using Pythagoras' identity

h² = 3² + 5² = 9 + 25 = 34 ( take the square root of both sides )

h = [tex]\sqrt{34}[/tex]

Thus

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]

cosx = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{\sqrt{34} }[/tex]

Hence

sin2x = 2sinxcosx = 2 × [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{5}{\sqrt{34} }[/tex] = [tex]\frac{2(3)(5)}{\sqrt{34}(\sqrt{34}) }[/tex] = [tex]\frac{30}{34}[/tex]

Answer:

Step-by-step explanation:

Answer:

2 x 2 x 3 x 3

Step-by-step explanation:

Answer:

a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 36 can be written as a product of primes as: 36 = 2² x 3². The expression 2² x 3² is said to be the prime factorization of 36.

Answer:

-33/4 or -8 1/4

Step-by-step explanation:

Make similar terms:

-5/4 - 28/4: then solve

-5 - 28 = -33: put over 4

-33/4: simplify

-8 1/4

Answer:

7 x 108

Step-by-step explanation:

8 a little sing on top of 0.

can I have brainliest

it was from Google

Answer:

100=65+5x

-65  -65

35=5x

35/5  5/5

7=x

Step-by-step explanation:

Answer:

$3.00

Step-by-step explanation:

7.50/5 = 1.5

12/8 = 1.5

Since each song costs $1.50 each, multiply the cost by the number of songs.

1.50(2) = 3

$3.00

Answer:

John is 12 years old.

Step-by-step explanation:

She is three times as old as an 8 years old.

8*3 = 24

Twice as old as John. John is half her age.

24/2 = 12

You divide 166 by 2. The answer would be 83.

The value of splitting 166 in half gives two equal halves of 83 each.

When 'split' a number in half, dividing the number into two equal parts.

Here want to split the number 166 in half.

Perform a division operation by dividing 166 by 2.

Division is the opposite operation of multiplication.

When divide a number by 2, you are essentially finding the value of half of that number.

So, the calculation is as follows:

166 ÷ 2 = 83

This means that half of 166 is 83.

Divide the number 166 into two equal parts, each being 83.

If add both halves together, you get the original number back:

83 + 83 = 166

Therefore, dividing 166 by 2 allows to splitting it equally into two halves, each having a value of 83.

learn more about splitting here

brainly.com/question/29183471

#SPJ2

Answer:

7

Step-by-step explanation:

5x = 35

Divide both sides by 5

x = 7

Whenever you have an equation like this, you have to simply divide both sides by the coefficient.

Answer:

$12.60

Step-by-step explanation:

Answer:

12.60

Step-by-step explanation:

9 dollars divided by 5 lightbulbs is 1.8

so 1.80 dollars × 7 lightbulbs = 12.60

9÷5=1.8

1.8×12.60

Answer: x² - 5x - 14

Step-by-step explanation: Start with the formula for the area of a rectangle.

Area = length x width

To multiply these two binomials, let's use the F.O.I.L. method.

The product of the first terms is x².

The product of the outer terms is -7x.

The product of the inner terms is 2x.

The product of the last terms is -14.

So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.

Answer:

88 dollars

Step-by-step explanation:

8 x 6 = 48 dollars (hours)

600 x .05 = 40 (commissions)

48 + 40 = 88 total dollar

Answer:

End of Unit Project: Mathdonalds, Chez Mathématiques, and Was 7×3, Is 10 + 11, Always Will Be 30 – 9.

Step-by-step explanation:

Answer:

None of these.

Step-by-step explanation:

Mario's age= n

Therefore,

Josie's age= 2n+4

Answer:

x = 8

Step-by-step explanation:

Answer:   10

Step-by-step explanation:

f(x)= 3 (2) - x + 6

f(x)= 6 - 2 + 6

f(x)=  4 + 6

f(x) = 10

Answer: 216.2 + 48.75 = 264.95

Step-by-step explanation:

Multiply the amount of sandwiches by the cost.

47 * 4.60 = 216.2

Multiply the amount of chips by the cost.

39 * 1.25 = 48.75

Add them the totals together.

216.2 + 48.75 = 264.95

Answer:

1 gallon

Step-by-step explanation:

1/3 times 3 = 1

Answer:

[tex]\boxed {h = -10.071}[/tex]

Step-by-step explanation:

Solve for the value of [tex]h[/tex]:

[tex]h - (-2.22) = -7.851[/tex]

The opposite of [tex]-2.22[/tex] would be [tex]2.22[/tex]:

[tex]h - (-2.22) = -7.851[/tex]

[tex]h + 2.22 = -7.851[/tex]

-Subtract both side by [tex]2.22[/tex]:

[tex]h + 2.22 - 2.22 = -7.851 - 2.22[/tex]

[tex]\boxed {h = -10.071}[/tex]

So, the value of [tex]h[/tex] is [tex]-10.071[/tex].

Answer:

y=2x

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

the value for X is 2

Step-by-step explanation:

Answer:

x=8,m=-7,y=12,t=6

Step-by-step explanation:

for x you add three too bothe sides

for m you subtract 5 from both sides

for y you add three to both sides

for t you add ll too both sides

The greatest common factor is 4.

Step-by-step explanation:

Answer:

13,15,17,19,21

Hope I helped! ☺

Answer:

c

Step-by-step explanation: