What is Three-Quarters of Three-Quarters?

Answer:

Option c is correct

Step-by-step explanation:

From the screenshot I attached.

sinA/a=SinC/c

a/c=SinA/SinC

Thus a=cSinA/SinC

Answer:

∠4 = ∠8

Step-by-step explanation:

the lines are parallel if a pair of corresponding angles are congruent

Answer:

36n = 360

Step-by-step explanation:

A dozen is 12

3 dozen is 3*12 = 36

36 * n boxes = 360

36n = 360

Answer:

y=4

Step-by-step explanation:

you multiply through by 3y^2

3y^4 - 18y^2 =30y^2

Collect like terms

3y^4=48y^2

divide through by y^2

3y^2=48

divide through by 3

y^2=16

take the square root of both sides

y=4

Answer:

4x² - 8x - 60

Step-by-step explanation:

Given :-

Simplify ,

Trinomial expression :-

The polynomial function [tex](2x-10)(2x+6)[/tex] expressed as a trinomial is [tex]4x^2 - 8x - 60[/tex].

Given data:

The polynomial function is represented as A.

Now, the value of [tex]A=(2x-10)(2x+6)[/tex].

On simplifying the equation:

From distributive property to multiply the terms:

[tex]A=2x * 2x + 2x * 6 - 10 * 2x - 10 * 6[/tex]

[tex]A=4x^2 + 12x - 20x - 60[/tex]

On simplifying the equation:

[tex]A=4x^2 - 8x - 60[/tex]

Hence, the trinomial is [tex]4x^2 - 8x - 60[/tex].

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Answer:

4.5, - 27, 162, - 972, 5832

Step-by-step explanation:

Using the recursive rule and a₁ = 4.5 , then

a₂ = - 6a₁ = - 6 × 4.5 = - 27

a₃ = - 6a₂ = - 6 × - 27 = 162

a₄ = - 6a₃ = - 6 × 162 = - 972

a₅ = - 6a₄ = - 6 × - 972 = 5832

The first 5 terms are 4.5, - 27, 162, - 972, 5832

Answer: x = 120

Step-by-step explanation:

Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex]  since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.

Answer:

Step-by-step explanation:

you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :

(y2-y1)/(x2-x1)

the pairs given :

(1,6) and (3,2)

(2-6)/(3-1) = -4/2 = -2

-2 is the slope. the line is going downwards so there is a negative slope

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

Answer:

75%....3/4 expressed as a percentage is just multiplying 3/4 and 100

Answer:

Y = 1/4 x -3

Step-by-step explanation:

x1 y1  x2 y2

0 -3  -8 -5

ΔY -2    

ΔX -8    

slope=   1/4    

B= -3          

Y =0.25X +-3    

Answer:

[tex] \\ \sf \longmapsto \: b {}^{3} \\ \\ \sf \longmapsto \: { - 1}^{3} \\ \\ \sf \longmapsto \: 1 \times - 1 \\ \\ \sf \longmapsto \: - 1[/tex]

Hence b^3=-1

Answer:

5:3

Step-by-step explanation:

40% = 2/5

If the numbers are x and y, then

2/5 x = 2/3 y

Divide both sides by 2/5

x  = (2/3 * 5/2)y

x = 10/6 y

x = 5/3  y

So the required ratio is 5 : 3.

Checking this result:

10% of 5 = 2

2/3 of 3 = 2 also.

Answer:

Step-by-step explanation:

This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!

The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.

If:

[tex]s(t)=-16t^2+112t+360[/tex], then the velocity function, the first derivative is:

v(t) = -32t + 112 and solve for t:

-112 = -32t so

t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.

Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:

[tex]s(3.5)=-16(3.5)^2+112(3.5)+360[/tex] and

s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.

The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.

Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".

L be the length of the rectangle

H be the height of the rectangle

By converting the given information into an algebraic expression, we get

Length = 2H - 5

The area of a rectangle is given by the formula;

Area of rectangle = L [tex]*[/tex] H

Where L is the Length.

H is the Height.

Substituting the values into the formula, we have;

Area of rectangle = (2H - 5) [tex]*[/tex] H

Area of rectangle = 2H² - 5H

Therefore, the area of rectangle = 2H² - 5H.

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Answer:

[tex]x=55[/tex]

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of [tex]2x+6[/tex] corresponds with the angle marked as [tex]x+9[/tex]. Therefore, its measure must also be [tex]x+9[/tex].

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

[tex]2x+6+x+9=180[/tex]

Combine like terms:

[tex]3x+15=180[/tex]

Subtract 15 from both sides:

[tex]3x=165[/tex]

Divide both sides by 3:

[tex]x=\frac{165}{3}=\boxed{55}[/tex]

Answer:

AB = 2√137

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = 22 cm

b = 8 cm

Step 2: Solve for c

Answer:

AB= 2√137 cm

Step-by-step explanation:

because we have a right triangle we apply the Pythagorean theorem

hypothenuse² = side² + side²

AB² = BC² + AC², substitute the given sides BC=8 and AC=22

AB² = 8² + 22² , square the numbers and apply the square root to both side

AB = √(64 + 484), add the numbers

AB = √548, simplify the square root

AB= 2√137 cm

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{3 - -10 - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{= 3 - (-10) - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{= 3 + 10 - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{3 + 10}\\\\\mathsf{= \bf 13}[/tex]

[tex]\mathsf{= \bold{13} - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{\dfrac{9}{-1}}\\\\\mathsf{= 9\div-1}\\\\\mathsf{= \bf -9}[/tex]

[tex]\mathsf{= 13 - (\bf -9)}[/tex]

[tex]\mathsf{= 13 + 9}[/tex]

[tex]\mathsf{= \bf 22}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 22}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]

Step-by-step explanation:

.12x + .2y = 14

x + y = 100

Answer:

Its B

Step-by-step explanation:

Answer:

The area of D is 36 times bigger than C

Step-by-step explanation:

The scale factor is 1:6

We know the ratio of the areas is the ratio of the scale factor squared

1^2 : 6^2

1:36

The area of D is 36 times bigger than C

Answer:

B.    quadratic

Step-by-step explanation:

Answer: The model that is most appropriate for the set is: Quadratic

Answer:

exponential

Step-by-step explanation:

Just took the test

Answer:

Have you gotten the answer. if yes Hmu... Aihs I sit beside you

Step-by-step explanation:

x=0, y=-2

tell me if u need the explanation

Answer:

x = (5/3)

x = -1

Step-by-step explanation:

[tex]3x^2 -2x - 5 =0\\\\(3x^2+3x) + (-5x - 5) = 0\\\\(3x-5)(x+1)=0\\\\\left \{ {{3x-5=0} \atop {x+1=0}} \right.\\\\===========\\\\3x - 5 = 0\\\\3x - 5 + 5 = 0 + 5\\\\3x = 5\\\\\frac{3x=5}{3}\\\\x = \frac{5}{3}\\\\===========\\\\x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\x = -1 \\\\===========\\\\\boxed{\text{Therefore:}}\\\\\boxed{ x = \frac{5}{3} \text { or } x = -1}[/tex]

You would just need to solve the two equations from step three for 'x'.

Hope this helps you.

Answer:

Smaller factor/larger figure = 3/6 = ½

Step-by-step explanation:

Scale factor of similar figures is usually the ratio of one to the other.

In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.

Length of smaller figure = 3

Corresponding length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = ½

Answer:

[tex]\angle 72=BC-86/2[/tex]

[tex]144+86=BC[/tex]

[tex]BC=230[/tex]

[tex]BC=230/2[/tex]

[tex]\angle BAC= 115[/tex]°

~OAmalOHopeO

Answer:

A) 89 personas prefieren ver sólo deportes.

B) 122 personas prefieren ver sólo un programa de televisión

C) 33 personas prefieren ver películas o musicales.

Step-by-step explanation:

Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:

A)

130 - 25 - 10 - 6 = 89

B)

80 - 25 - 20 - 6 = 29

40 - 20 - 10 - 6 = 4

89 + 29 + 4 = 122

C)

29 + 4 = 33

Answer:

15

Step-by-step explanation:

a = 3d

Let d=5

a = 3*5

a = 15