The price of an item has been reduced by $7.08. The new sale price is $72.66 . What was the original price?

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*6^2*11

=3.14*36*11

=1243.44 mi^3

Answer:

Solution given:

radius [r]=6mi

height[h]=11mi

we have

Volume of cylinder=πr²h=3.14*6²*11=

1243.44mi³

Answer:

The answer is 3 for the above question

Answer:

I think the answer is 20 sq.inches

Answer:

Step-by-step explanation:

We have to use Pythagorean's Theorem twice here, first to find the length of the dotted line, which I will call h, and then again to find x. First we need to find h so we can use it to find x:

[tex](2\sqrt{5})^2=4^2+h^2[/tex] and

[tex]20=16+h^2[/tex] and

[tex]4=h^2[/tex] so

h = 2. Then again:

[tex]x^2=2^2+22^2[/tex] and

[tex]x^2=4+484[/tex] and

[tex]x^2=488[/tex] so

x = 2√122

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

Answer:

Area =  [tex]44yd^2[/tex]

Step-by-step explanation:

a = 7 , b = 4 , h = 8

[tex]Area = \frac{a + b}{2 } \times height = \frac{7+4}{2} \times 8 = \frac{11}{2} \times 8 = 11 \times 4 = 44yd^2[/tex]

2 Answers:

====================================

Explanation:

The left and right walls are mirror copies of one another, and they are also copies of the cross section as well. Think of a subdivision to divide one room into two smaller ones. That middle wall is the same as the left and right walls of the original larger room. Effectively, those two smaller rooms are blocks of their own we can pull apart or cut.

Answer:

2^4x

Step-by-step explanation:

4^x+2^2x

=(2)^2x+2^2x

=4^2x

=(2)2*2x

=2^4x

Answer:

4^x+2^2x

Step-by-step explanation:

There is really not much to do here but multiply 1*2^2x which stays the same

giving an answer of 4^x+2^2x

Answer:

y = 1(x - 1)^2 + 34

yes it is meant to say 34, not 35.

Step-by-step explanation:

Vertex P(1, 34)

Y-intercept P(0, 35)

Answer:

128degrees

Step-by-step explanation:

Using the theorem that states that the angle at the centre is twice the angle at the circumference, hence;

<D = 180 - 116

<D = 64

<x = 2(<D)

<x = 2(64)

<x = 128

Hence the measure of <x is 128degrees

.

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7)  = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3  < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is  7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

Answer:

$495

Step-by-step explanation:

(900 ÷ 100) × 45

= 405

900 - 405

= 495

Answer:

-4x

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

The axis of symmetry is the vertical line that makes a mirror image on the left and right for a vertical parabola

It goes through the vertex and is the x coordinate

x = -4

Answer:

Step-by-step explanation:

1B

Answer:

A loan

Step-by-step explanation:

They are not the same.

Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

Answer:

1. 3/8

Step-by-step explanation:

Total tossed times = 3

Total Possibilities = 8

Possibilities = (Head, Head, Head), (Tails,Tail,Tails), (Head,Head,Tails), (Head,Tail,Head), (Tails,Head,Head), (Head,Tail,Tail), (Tail,Tail,Head), (Tail,Head,Tail)

Number of options with a head and two tails = 3

So, Probability = Number of correct options ÷ Number of total possibilities

= 3 ÷ 8 or 3/8

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  [tex]\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}[/tex]

_____

Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

Original statement: The grass is wet because it was raining.

Contrapositive statement: It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

the value of -4*2 is -8 jdjdjdjdhdhdjdjdjdhdh

Answer:

Step-by-step explanation:

take the -4 then times it by 2 and you will get -8

Answer:

x=24

Step-by-step explanation:

Because the triangle is a 30-60-90 triangle, you can find side x, the hypotenuse, by doubling the short side 12. Therefore, x=2(12)=24.

Answer:

[tex]hypotenuse = 5 \: cm \\ height = 5 - 1 = 4 \: cm \\ base = \sqrt{ {5}^{2} - {4}^{2} } = \sqrt{9} = 3 \: cm[/tex]

Part A:

[tex]perimeter = 5 + 4 + 3 \\ = 12 \: cm[/tex]

Part B:

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 4 \\ = 6 \: {cm}^{2} [/tex]

Answer:

$1.96

Step-by-step explanation:

I just multiplied 5.6 • 0.35 to get the sum of 1.96. I hope this is accurate and helped you :)

Answer:

Answer B is the correct answer..

cot(theta)=cos(theta)/sin(theta)

Trignometric functions are the ratio of the sides of the triangle. The correct option from the following is cot(theta)= cos(theta)/sin(theta).

The trigonometric function gives the ratio of different sides of a right-angle triangle. There are six basic trigonometric functions,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta= \dfrac{Sin \theta}{Cos \theta} =\dfrac{Perpendicular}{Base} \\\\\\Cosec \theta=\dfrac{1}{Sin\theta}=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta= \dfrac{1}{Cos\theta} = \dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{1}{Tan\theta}= \dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As we know about the basic trigonometric functions, therefore, the options that is correct from the following option is cot(theta)= cos(theta)/sin(theta).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

f + 6 = ?

Well, the answer can be pretty much any number. It all depends on what number f is. f is a variable, so you can plug in any number to replace f.

For example, if f was 5, this is what the equation would look like:

5 + 6 = 11

If f was -3, this is what the equation would look like:

-3 + 6 = 3

So, again, the answer can be anything. It depends on what f is.

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=x/10(do cross multiplication)

2*x=10*1

x=10/2

x=5

Answer:

5

Step-by-step explanation:

The sin is the opposite cathetus divided by the hypothenuse, and the sin30° = 0.5, so let's do an equality:

sin30° = x/10

0.5 = x/10

10•0.5 = x

x = 5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{x = \frac{6}{k}}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}}\\\\kx+12=3kx\\------------\\\rightarrow kx+12 - 12 = 3kx-12\\\\\rightarrow kx = 3kx - 12\\\\\rightarrow kx - 3kx = 3kx - 3kx - 12\\\\\rightarrow -2kx = -12\\\\\rightarrow \frac{-2kx = -12}{-2k}\\\\\rightarrow \boxed{x=\frac{6}{k}; k\neq 0}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 6/k

Step-by-step explanation:

kx + 12 = 3*kx

to make like terms on same side shift kx to right hand side . when u shift positive kx to other side it becomes negative

12 = 3kx - kx

12 = 2kx

shift 2 to left hand side when u shift multilication changes to division.

12/2 = kx

6 = kx

to find x u must shift k to other side . here also same since k and x are multilied when k shifts to others side it becomes divisor.

6/k = x

Answer:

Step-by-step explanation:

let the no of girls be x

ratio of boys to girls=4:7

4/7=16/x

do cross multiplication

7*16=x*4

112=4x

112/4=x

28=x

therefore there are 28 no of girls.