Find the value of sin(x+y) if sin x= 4/5 and cos y -5/13, both x and y are in quadrant II.

Answer:

∠3 and ∠7 ↔ Corresponding Angles

∠2 and ∠7 ↔ Alternate Exterior Angles

∠4 and ∠5 ↔ Alternate Interior Angles

∠3 and ∠6 ↔ Alternate Interior Angles

Answer:

2√3

Step by step Explanation:

[tex] = > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3} [/tex]

Answer:

y= -7x+4

Step-by-step explanation:

(0,4)

(1,-3)

(2,-10)

4 is the y-intercept.

Answer:

c. 2+4(n-1)

b. 4+3(n-1)

Step-by-step explanation:

Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.

2+4(n-1) is the equation.

Test this out with the fifth term.

t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18

Test it out with the first term, too.

t₁ = 2 + 4(n-1) = 2 + 4(0) = 2

If you follow the same pattern with part b, you find that the equation is

4+3(n-1)

Test it in the same manner.

Answer:

none of the above

Step-by-step explanation:

1/8 = .125

.11 =11/100

.11 repeating = 1/9

.16 = 4/25

.1666666666repeating = 1/6

Answer:

None

Step-by-step explanation:

There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close

Answer:

x=4

Step-by-step explanation:

y = 2x - 8

Let y =0

0 = 2x-8

Add 8 to each side

8 = 2x-8+8

8 = 2x

Divide each side by 2

8/2 = 2x/2

4 =x

Answer:

No solution

Step-by-step explanation:

4+ 2(5x-8)=ax+b

1. Plug in values: 4 + 2(5x-8) = (10)x + (-4)

2. Combine Like Terms: 4 + 10x -16 = 10x -4

3. Add 10x to both sides: 4 -16 = -4

4. Combine Like Terms: -12 = -4

-12 does not equal -4, so there is No solution

Answer:

470.8km

Hope this helped!!

Answer:

C. 470.8

on edge

Step-by-step explanation:

hope this helped

Answer:

i dont khow  

i guess true

Step-by-step explanation:

Answer:

true

your answer is correct

Step-by-step explanation:

Answer:

4/8 or 1/2 more to go

Step-by-step explanation:

3/8 plus 1/8 is 4/8

so 8/8 minus 4/8 is 4/8

Answer:

Option D is correct

Step-by-step explanation:

Multiply 7 by 3. then add 3 and make sure  the answer is 24.

7 x 3 + 3 = 21 + 3 = 24

Hope this helps!

:)

Answer:

Option D is correct

Step-by-step explanation:

Answer:

It's any point in the mixed color area

Step-by-step explanation:

The coordinates of a point in the solution set is (3,2).

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given is the graph of system of inequalities,

The two lines are intersecting at (3,2), and the point at which the two lines intersects is considered to be the solution of the given system of equation.

Hence, the coordinates of a point in the solution set is (3,2).

For more references on inequalities, click;

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Answer:

Step-by-step explanation:

5.67x - 8.16 + 3.6x + 9.2

Write the like terms together

= 5.67x + 3.6x - 8.16 + 9.2  

{8.16 & 9.2 have different sign, so subtract and the result will have the bigger numbers sign}

= 9.27x + 1.04

Answer:

23?

Step-by-step explanation:

Answer:

The answer is A [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Answer:

252m^3

Step-by-step explanation:

Multiply all the numbers.

Answer:

252

Step-by-step explanation:

14 times 6 times 3=252

Answer:

3125*k^9 + y^3 is an integer my closure property.

 but 5^(1/3) is not an integer, which forces z to be irrational.

Note that there is no way an integer value can rationalize 5^(1/3)

Step-by-step explanation:

x^3 = 25z^3 - 5y^3

x^3 = 5 ( 5z^3 - y^3)

x  =  (5 ( 5z^3 - y^3) )^(1/3) must be an integer

  = 5^(1/3) * (5z^3 - y^3)^(1/3)

Then  (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k

 5z^3 - y^3 = 15625*k^9

 5z^3 = 15625*k^9 + y^3

  z^3 = 3125*k^9 + (1/5)*y^3

z =  ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

[tex]\frac{3^{n+4} - 3^n}{16}[/tex]

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes

[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]

Factorize

[tex]\frac{3^n(3^4 - 1)}{16}[/tex]

[tex]\frac{3^n(81 - 1)}{16}[/tex]

[tex]\frac{3^n(80)}{16}[/tex]

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.

Answer:

12.92cm²

Step-by-step explanation:

[tex] area = \frac{1}{2} \times base \times height[/tex]

area= 1/2×7.6×3.4

Area = 1/2 × 25.84

Area = 12.92 cm²

[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]

The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

The process of swapping an algebraic letter for its value is called substitution.

According to the given question we have

An expression

[tex]m^{2} +3m[/tex]

We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]

⇒ [tex](3)^{2} + 3(4)[/tex]

⇒ 9 + 12 = 21

Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.

Learn more about the expression and substitution here:

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Answer:

i am lead to believe the answer is 4. if not, please don't hesitate to correct my mistake.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

To solve this we need to make a proportion

[tex] \dfrac{1}{100} = \dfrac{x}{1500} \\ x = \dfrac{1 \times 1500}{100} \\ x = 15 \%[/tex]

Answer: 15%

So the right answer is 166.375 ^3

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

166.375m^3

Step-by-step explanation:

V=lwh

=5.5m×5.5m×5.5m

=166.375m^3

Answer:

slope = 6

Step-by-step explanation:

The equation of a line in slope- intercep form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 2 ← is in slope- intercept form

with slope m = 6

answer:

ordered pair is (2,-4)

Answer:

He could multiply the amount one box ways by 100, or 0.6*100.

Step-by-step explanation: