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Answer:

Step-by-step explanation:

65% of 51 = [tex]\dfrac{65}{100}*51[/tex]

                = 0.65 *51

                = 33.15

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Learn more about the trigonometric ratios here:

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Answer:

1/3

Step-by-step explanation:

gradient or slope = m

m = change in y ÷ change in x

= (-4 - -2) ÷ (-3 - 3)

= (-4 + 2) ÷ (-3 - 3)

= -2 ÷ -6

= 1/3

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Answer:

The answer is = (x',y')=(-x,-y)

Step-by-step explanation:

= (x',y')=(-x,-y)

Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.

Rule of 180° Rotation

If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).

Please check the attached file for a detailed answer.

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Line 3 = (200 × 4) + (60 × 4) + (3 × 4)      [multiply the terms in the brackets]

          =  800  +   240  + 12  

Answer:

Refer to the attachment

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

Answer:

x ÷ 10

..,.................

Answer:

4

Step-by-step explanation:

2 plus 2 equals 4 lmk if you need more help

Answer:

4

Step-by-step explanation:

Answer: help what?????

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]y - 3 = n(x - 5)[/tex]

[tex]3 - 3 = n(5 - 5) \\ 0 = n * 0[/tex]

[tex]12 - 3 = n(8 - 5) \\ 9 = n * 3 \\ n = 3[/tex]

Answer:

y=3x-4

Step-by-step explanation:

Answer:

take out or aluminate i think

Step-by-step explanation:

Answer:

im not sure on how to answer that

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

That means in every group of 15, there are 5 children

135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45

Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

Answer:

-2, 1.5

Step-by-step explanation:

(y1 + y2)/2 = y midpoint formula

so, (-1 + 4) = 3

3 / 2 = 1.5

y = 1.5

Step-by-step explanation:

To find the midpoint:

Use the formula;

d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4

Substitute the values into the equation above. This gives;

d = (-2 + -2)/2, (4 + -1)/2

= (-4/2), (3/2)

=(-2, 1.5) <<<<<<< ✓ Ans

I hope this helps. Thank you

Answer:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]

Answer:

y² = 7

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

[tex]\sf\longmapsto \: x = 10[/tex]

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]

[tex]\sf\longmapsto \: x = 10[/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

x=10

Step-by-step explanation:

[tex]7-5x=-43[/tex]

[tex]7-5x-7=-43-7[/tex] Subtract

[tex]-5x=-50[/tex]

[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide

[tex]x=10[/tex]

Answer:

D. [tex]4\frac{1}{16}[/tex]

Step-by-step explanation:

Substitute the given value into the function and solve.

Answer:

he is correct bc the pattern correct

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.

Answer:

-12×3 = -36.............

Answer: 4 science and 2 math books

Step-by-step explanation:

Let M and S stand for the numbers of math and science books.

We know that M+S = 6 books

and M*80 + S*50 = $360

Rearance the first: M = 6-S

Use this definition of M in the second equation:

(6-S)*80 + S*50 = $360

480-80S + 50S = 360

-30S = - 120

S = 4

Use S=4 in the first equation (M=6-S) to find the number of math books, 2.

Check to see if there number work:

4*($50)= $200

2*($80)= $320160

Total is $360. It works.

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]