10. a? = 3,600
algebra solve each equation​

Answer: the answer is A

Step-by-step explanation:

Use the angle sum identities to expand [tex]\sin(3A)[/tex] and [tex]\cos(3A)[/tex]:

[tex]\sin(3A)=\sin(A+2A)=\sin A\cos(2A)+\cos A\sin(2A)[/tex]

[tex]\cos(3A)=\cos(A+2A)=\cos A\cos(2A)-\sin A\sin(2A)[/tex]

Use the double angle identity to expand [tex]\sin(2A)[/tex]:

[tex]\sin(2A)=2\sin A\cos A[/tex]

So we have

[tex]\sin(3A)=\sin A\cos(2A)+2\cos^2A\sin A[/tex]

[tex]\cos(3A)=\cos A\cos(2A)-2\sin^2A\cos A[/tex]

Then divide the first expression by [tex]\sin A[/tex] and the second by [tex]\cos A[/tex]:

[tex]\dfrac{\sin(3A)}{\sin A}=\cos(2A)+2\cos^2A[/tex]

[tex]\dfrac{\cos(3A)}{\cos A}=\cos(2A)-2\sin^2A[/tex]

Squaring these gives

[tex]\dfrac{\sin^2(3A)}{\sin^2A}=(\cos(2A)+2\cos^2A)^2=\cos^2(2A)+4\cos(2A)\cos^2A+4\cos^4A[/tex]

[tex]\dfrac{\cos^2(3A)}{\cos^2A}=(\cos(2A)-2\sin^2A)^2=\cos^2(2A)-4\cos(2A)\sin^2A+4\sin^4A[/tex]

Subtract the second expression from the first to get the original equation. The [tex]\cos^2(2A)[/tex] terms cancel, leaving us with

[tex]4\cos(2A)\cos^2A+4\cos^4A+4\cos(2A)\sin^2A-4\sin^4A=2[/tex]

Now, notice that

[tex]4\cos(2A)\cos^2A+4\cos(2A)\sin^2A=4\cos(2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]

and

[tex]4\cos^4A-4\sin^4A=4(\cos^2A-\sin^2A)(\cos^2A+\sin^2A)=4\cos(2A)[/tex]

because [tex]\cos^2A+\sin^2A=1[/tex] and [tex]\cos^2A-\sin^2A=\cos(2A)[/tex].

So we're left with

[tex]4\cos(2A)+4\cos(2A)=8\cos(2A)=2\implies\boxed{\cos(2A)=\dfrac14}[/tex]

Answer:

8x + 1 + 6x + 5 = 90

14x +  6 = 90

14x = 84

x = 6

<DCB is 6x+5

6(6) + 5

36 + 5

41

Answer:

∠ DBC = 41°

Step-by-step explanation:

∠ DBC + ∠ DBA = 90° , substitute values

6x + 5 + 8x + 1 = 90, that is

14x + 6 = 90 ( subtract 6 from both sides )

14x = 84 ( divide both sides by 14 )

x = 6

Thus

∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°

Answer:

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Step-by-step explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]

Add like terms

25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Answer:

9+11x

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation: it worked for me i passed it

The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.

Answer:

7/4=5/3 is the answer

Answer:

$60

Step-by-step explanation:

10x6=60. 6+6+6+6+6+6+6+6+6+6= 60

A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.

[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]

15.079 < 15.75 < 15.758 < 1576.177

[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]

Learn more about ascending order here

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Answer:

3.6/5, 4. 9, 5. 11/2

Step-by-step explanation:

3. 2/5/6

= 2× 6/5

= 12/5

4. 7/9/7

= 7× 7/9

= 9

5. 8/11/4

= 8×4/11

= 11/2

hope you understand this answer

sorry if the answer is wrong

(-7)^5 means that we are multiplying -7 to it self 5 times.

The only option that shows this is option A.

Best of Luck!

Answer:

7x7x7x7x7= 16807 A is correct.

Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times

Goodluck:)

Answer:

-2.5(z+2)

Step-by-step explanation:

Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.

Explained: The model shows that your number is 0.11

We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.

So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.

♡Hope it helps♡

Answer:

A=30cm, B=39cm

Step-by-step explanation:

They are an enlargement. Therefore, the sides are larger by the same proportion, otherwise, it wouldn't be an enlargement. Therefore, the bottom side of the big one is 3 times that of the small one. Therefore, the other sides are also 3 times, making A = 30cm and B = 39cm.

Answer:

A

12cm to 36cm is mulitiply by 3, so that means that you mutiply each of the other sides by 3 to get your answer

Answer:

y = 4x + 8

Step-by-step explanation:

Slope-intercept form:

m = 4

x-intercept = -2, it means x = -2, y = 0

Using this point we get the value of b

The form now is:

Answer:

Step-by-step explanation:

To find the value of x when y = 24, we must first find the relationship between them

where k is the constant of proportionality

when

x = 16

y = 2

Substitute the values into the above formula and solve for k

That's

Cross multiply we have the answer as

k = 8

So the formula for the variation is

Now when y = 24

We have

Square both sides

We have the final answer as

Hope this helps you

X= -5

-13.5 ÷ 2.7= -5

-5=x

Answer:

x=5

Step-by-step explanation:

Answer:

G.

Step-by-step explanation:

Length = Square root of Square area

= √8 (-√8 is rejected as length is positive)

We know that √4 < √8 < √9 because 4 < 8 < 9.

=> 2 < √8 < 3.

The only answer that is in this range is G.

Answer:

60

Step-by-step explanation:

Answer:

Y = 3/4X - 3/2

Step-by-step explanation:

3X - 4y =6

3X - 6 =4Y

Y = 3/4X - 3/2

The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 3x - 4y = 6. The value for y will be calculated as,

3X - 4y =6

Rearrange the above equation and solve for Y,

3X - 6 =4Y

Y = 3/4X - 3/2

To know more about an expression follow

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Answer: x = -2

Step-by-step explanation:

3x+5 -13x =25     combine like terms on the left side

-10x + 5 = 25        Subtract 5 from both sides

        -5      -5

-10x = 20     Divide both sides -10

x = -2

Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

If we have the equation [tex]3x+5-13x=25[/tex], we can isolate x on one side and find it's value.

Let's combine like terms.

[tex]-10x + 5 = 25[/tex]

Subtract 5 from both sides:

[tex]-10x + 5 - 5 = 25 - 5\\\\-10x = 20[/tex]

Divide both sides by -10:

[tex]-10x\div-10 = 20\div-10\\\\x = -2[/tex]

So [tex]x = -2[/tex].

Hope this helped!

Answer for the blank is: 10

The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x

In short,

[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]

please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10

Answer:

Step-by-step explanation:

Terms           Coefficient

7p                    7

-6z                    -6

-80                  constant term