Given \tan A=\frac{11}{60}tanA=
60
11
​
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.

The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x –  11)² – 57.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadrattic equation is f(x) = 2x² – 44x + 185.

Take common 2 from the equation, we have

[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]

Add and subtract 121, we have

[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]

And we know that the standard equation

f(x) = a(x - h)² + k

On comparing, we have

The vertex (h, k) is (11, -57).

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

1. 2

2. 2

3. 11

4. -57

Step-by-step explanation: actual answers

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

Answer:

Step-by-step explanation:

a)

The original figure is ABC and the image is A'B'C'.

We can see the image is larger than the original figure.

It indicates that the dilation is an enlargement.

b)

Find the ratio of corresponding sides to find the scale factor.

First get the measure of corresponding line segments.

The scale factor is:

#1

#2

Take two sides of both

Scale factor:-

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

Learn more about the AAS Theorem on:

https://brainly.com/question/4460411

We see that 24 is split into 8q.

Therefore 8q equals 24 --> 8q = 24 --> q = 24/8 = 3.

So q = 3.

Hope it helped!

Volume Formula: length x width x height

---Let's first write down what we're given.

Volume = 80

Length = 4

Width = 4

Height = ?

---Now, plug what we know into the formula for volume and solve for the missing variable.

80 = 4 x 4 x h

80 = 16 x h

h = 5

g = 5 centimeters

Hope this helps!

Answer:

this is easy the a sewer is 12

Answer:

Step-by-step explanation:

Given function:

The function is linear and it represents:

According the above explanation the correct answer choice is C

Slope intercept form of a line is given by y=mx+b

Compare to our given function

Here

As it's about height

The rate of change in height is denoted here

Option C is correct

so Mai had booming sales of $2500, now her commission used to be 5%, but since she rules it went up to 6%, how much is her commission on that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 2500}}{\left( \cfrac{6}{100} \right)2500}\implies 150[/tex]

since her salary which used to be $200 but is now 200 + 25 = $225, so for that week she earned 225 + commission or 225 + 150 = 375.

Answer:

[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]

Step-by-step explanation:

Let  A(2,3) and B(4,0) be the end points of the diameter

then the segment AB is the diameter of the circle

Then the center of the circle (point M) is the midpoint of segment AB

Then M( (2+4)/2 , (3+0)/2 ) then M( 3 , 3/2 )

Now let’s find the radius r of our circle :

r = AB/2

Then

[tex]r=\frac{AB}{2} =\frac{\sqrt{(0-3)^{2}+(4-2)^2} }{2} =\frac{\sqrt{13} }{2}[/tex]

Then Equation of the circle is:

[tex]\left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} = \left( \frac{\sqrt{13} }{2} \right)^{2} \\\Longrightarrow \left( x-3\right)^{2} +\left( y-\frac{3}{2} \right)^{2} =\frac{13}{4}[/tex]

Answer:

The price for each pound of tuna is not always the same.

Step-by-step explanation:

What we do is divide the price by the amount of tuna to find the price for each amount of tuna

For the 1st one, we have $8 for 2 tuna so we do 8/2

8/2 = 4

For the 2nd we have $16 for 4 so we do 16/4

16/4 = 4

For the 3rd, we have $27 for 9 so we do 27/9

27/9 = 3

Answer:

13

Step-by-step explanation:

I counted the X's of 1-3 and got 13 in total.

(Let me know if that was correct) :)

Answer:

13 students

Step-by-step explanation:

To solve this you count the x's above 1, 2, and three.

I hope this helps!!

Answer:

$1.30

Step-by-step explanation:

We need to figure out how much each friend gets out of the 5.20 so we will have to divide :)

5.20/4 = $1.30

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

C

Step-by-step explanation:

sqrt(2 - 3x)/sqrt(4x) = 2

sqrt(2 - 3x) = 2×sqrt(4x)

now let's just square both sides

2 - 3x = 4×4x = 16x

2 = 19x

x = 2/19

Answer:

Step-by-step explanation:

The diameter to answer 3.92 A=4 pi r2 d=2r

Answer:

Step 1: 2*5 - 4y = 2

Step 2: 10 - 4y = 2

Step 3: -4y = -8

Step 4: y = 2

Step-by-step explanation:

Answer:

L: (15+6x) W: 2

L: (10+4x) W: 3

L: (5+2x) W: 6

Step-by-step explanation:

We don't have any numbers here to do calculations, so probably this is just an exercise in FACTORING. Also to practice that area is length times width.

The area given,

30 + 12x

can be factored several ways to be able to fill in the table.

This kind of factoring is like "un-distributive property" where a common factor can be factored out of the expression. Usually its helpful to factor out the greatest common factor (GCF) but in this case any common factor will do.

Also, unless there are more directions, either factor may be the length or the width.

2(15+6x)

3(10+4x)

6(5+2x)

Total outcomes:

So the final answer is "60"

Step-by-step explanation:

Given: A parallelogram ABCD with AC as its diagonal

To prove: <A=C & <B=<D

Proof:

Opposite sides of parallelogram is parallel

So, AB || DC and AD || BC.

Since AB || DC

& AC is the transversal

< BAC = < DCA (Alternate angles...(1) )

Since AD || BC & AC is the transversal

<DAC = < BCA (Alternate angles)...(2)

when adding equation 1 and 2

<A=<C

In similar case,

<B=<D

Answer:

Average velocity

Step-by-step explanation:

The average speed is only different from average velocity because it has direction.

The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.

Answer:

 [tex]\frac{c-3p}{7}[/tex]

Step-by-step explanation:

1) 4(2a+p)=c+p+a

2) Expand: 8a+4p=c+p+a

3) subract a and 4p: 7a=c-3p

4) Divide: a=[tex]\frac{c-3p}{7}[/tex]

Answer provided by Education Point

Answers:

AREA OF A CIRCLE = pi x r^2

5m circle:

when it says 5 i think it means diameter so divide by 2 for radius

5/2 = 2.5

3.14 x 2.5^2=

3.14 x 6.25=

19.625m^2

50mm circle:

50/2= 25

3.14 x 25^2=

3.14 x 625=

1962.5mm^2

40in circle:

40/2= 20

3.14 x 20^2 =

3.14 x 400=

1256in^2

7ft circle:

7/2= 3.5

3.14 x 3.5^2=

3.14 x 12.25=

38.465ft^2

21mm circle:

21/2= 10.5

3.14 x 10.5^2=

3.14 x 110.25=

346.185mm^2

70cm circle:

70/2=35

3.14 x 35^2=

314 x 1225=

3846.5cm^2

Hope that helps :)

Answer:

The answer is 68°

Step-by-step explanation:

Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.

The value opposite to your angle is 5, and the value that is adjacent to it is 2.

In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.

This gives a value of 68.19459, rounded to just 68.

Based on the definition of the diagonals of a rhombus, m∠AED = 90°.

A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.

Angle 90 is formed at the intersection of the two diagonals of a rhombus.

In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.

Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.

Learn more about diagonals of a rhombus on:

https://brainly.com/question/20627264

Step-by-step explanation:

a scale factor normally applies to lengths (one-dimensional sizes).

the perimeter of a triangle is calculated only by using lengths, so we can apply the scaling factor directly to the perimeter.

perimeter of the new triangle = 2 × perimeter of the old triangle = 2×8 = 16

Answer:

63

Step-by-step explanation:

30 percent * 210 =

(30:100)* 210 =

(30* 210):100 =

6300:100 = 63

Answer:

C

Step-by-step explanation:

0.081+6.18 =6.261

0.21+4.93 =5.14  

6.261 - 5.14 = 0.13

Answer:

a) 1

Step-by-step explanation:

Tan 5pi/4: 1

Tan (-5pi/4): -1

Tan 5pi/4 in degrees: tan (225°)