If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]

Step-by-step explanation:

Given, < 2 = 105°

To find : < 1

When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.

So,

<1 = 105 °

Hope I helped!

Best regards!

Answer:

[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.

[tex]\angle 2= 105 \°[/tex]

Vertical angles are equal in measure.

[tex]\angle 1= \angle 2[/tex]

[tex]\angle 1= 105 \°[/tex]

Answer:

8.6615988

Step-by-step explanation:

f(x) = 3 sin (x) / ( 1 + cos x)

To find the derivative   bottom * d/ dx top  - top d/dx bottom  all over the bottom squared

d/dx = 3 ( ( 1 + cos x)  cos x - sin x( - sin x))   / ( 1 + cos x) ^2

         = 3 ( cos x + cos ^2 x + sin ^2 x)   / ( 1 + cos x) ^2

         = 3 ( 1 + cos  x) /  ( 1 + cos x) ^2

         = 3 / ( 1 + cos x)

Let x = 4

3  /  ( 1 + cos 4)

Assuming x is in radians

3/.346356

8.6615988

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

(3, -1) -> (5, 4) = 5.38516 or 5.39 units

(2, 3) -> (4, 5) = 2.82843 or 2.83 units

(-5, 7) -> (8, 5) = 13.1529 or 13.15 units

(-2, 4) -> (3, -1) = 7.07107 or 7.07 units

The correct matching of the pair of points and the distance between them would be:

The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.

The distance between the points are therefore:

(3,-1) and (5,4):

Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]

= √[4 + 25] = √[29]

= 5.39

(2,3) and (4,5):

Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]

= √[4 + 4] = √[8]

= 2.83

(-5,7) and (8,5):

Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]

= √[169 + 4] = √[173]

= 13.15

(-2,4) and (3,-1):

Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]

= √[25 + 25]

= √[50]

= 7.07

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Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

Answer:

3. 25ac

Step-by-step explanation:

[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]

Answer:

d=22

Step-by-step explanation:

Answer:

A) $27.22 + $0.15x = $30.97

Step-by-step explanation:

Answer:

The answer would be  A. $0.15x + $27.22 = $30.97

Step-by-step explanation:

Answer:

7000 degrees per sec

Step-by-step explanation:

If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.

Answer:

4(p+r) = q

Step-by-step explanation:

p = q/4 -r

Add r to each side

p+r = q/4 -r+r

p+r = q/4

Multiply each side by 4

4(p+r) = q/4*4

4(p+r) = q

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

[tex]y-5=3(x-2)[/tex]

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the interval for the measurement to be  60 m ± 4.5%, the posible range of each measurement is expressed as shown;

60 m ± 4.5% =  60 m ± 4.5/100

=  60 m ± 0.045

= (60 - 0.045, 60+0.045)

= (59.955, 60.045)

Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)

Answer:

7

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 6 is 18

25 - 18 is 7

also, use PEMDAS

Answer:

The answer is 7.

5^2-3×6.

25-18=7.

Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

Answer:

0.9 is 15% of 6

work:

0.15 x 6 = 0.9

Hope this helps!

Answer:

[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term

= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)

Answer:

5

Step-by-step explanation:

-1+5+6-5

-1-5+5+6

-6+11

5

Answer: d=9

Step-by-step explanation:

2d -15 = 3    Add 15 to both sides

     + 15 +15

2d = 18    Divide both sides by 2

d = 9

Answer:

d=9

Step-by-step explanation:

collecting like terms

2d=3+15

2d=18

d= 9

Answer:

You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.

Step-by-step explanation:

I just did the test!!! And plus its a sample answer !!!

Answer:

a.) 11>2x.

b.) 2<5÷x.

c.) 4(x+8).

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Convert all the word phrases into an algebraic expression. Then we have

a. 11 more than twice a number x. Then we have

⇒ 2x + 11

b. 2 less than the quotient of 5 and a number x. Then we have

⇒ 5/x - 2

c. The product of 4 and the sum of a number x and 8. Then we have

⇒ 4(x + 8)

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

More about the conversion of sentences into equation link is given below.

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Step-by-step explanation:

Prove the LHS

Using trigonometric identities

That's

Rewrite the expression

We have

So we have

Using trigonometric identities

Rewrite the expression

That's

Reduce the expression with cos a

We have the final answer as

As proven

Hope this helps you

Answer:

Midpoint = (-3, 4.25)

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]

Answer: integer's are whole  numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

Answer:

(-5,1)

Step-by-step explanation:

i dont really know but might be right

Answer:

   -1/2

Step-by-step explanation:

Find two points on the line

(0,-5) and (2,-6)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (-6 - -5)/( 2-0)

   ( -6+5)/( 2)

     -1/2

Answer:

3.79 liters

Step-by-step explanation:

2 quarts equals 1.89 so 2×2 = 3.79

Answer:

15

Step-by-step explanation:

Answer:

Eight X plus sixty equals one hundred fifty-six

Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.

*See attachment below for the numberline.

Answer:

A.) -2.2

Step-by-step explanation:

Given that C on the numberline = -4,

F on the numberline = 5

The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9

We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9

⅕*9 = 9/5 = 1.8

This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.

Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.

I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.

A negative divided/multiplied by another negative will be positive

A negative divided/multiplied by a positive will be negative

Good luck with your math hw! If you need more help, just comment!

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

The complete statements would be as:

function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

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