Match the transformation with the description.

width= area /length

width= 192/60

Width= 3.2 inches

Answer:

36 is the width.

Step-by-step explanation:

A rectangle has four sides.

So the equation should be:

60+60+?+?= 192.

In order to cancel out the two 60s, you subtract it from 192.

So,

?+?=72.

The sides opposite of a rectangle is congruent, thus,

72/2=36.

The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.

60+60+36+36=192.

Hopefully this helped!

From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.

In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.

If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.

SOH - Sine is Opposite over Hypotenuse

CAH - Cosine is Adjacent Over Hypotenus; while

TOA - Tangent is Opposite over Adjacent.

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The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.

let

= x + 24.3 - 14.6

= x + 9.7

Total = snapgram + bookface + giggle

58 = x + (x + 24.3) + (x + 9.7)

58 = x + x + 24.3 + x + 9.7

58 = 3x + 33

3x = 58 - 34

3x = 24

x = 24/3

x = 8 views

Therefore,

snapgram views = x

= 8 views

Bookface views = x + 24.3

= 8 + 24.3

= 32.3 views

Giggle views = x + 9.7

= 8 + 9.7

= 17.7 views

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Answer:

cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )

cos²Θ = 1 - sin²Θ ( take square root of both sides )

cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]

       = ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]

       = ± [tex]\sqrt{1-\frac{1}{4} }[/tex]

      = ± [tex]\sqrt{\frac{3}{4} }[/tex]

     = ± [tex]\frac{\sqrt{3} }{2}[/tex]

since 0° < Θ < 90° , then

cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]

Answer:

240 points game 3

Step-by-step explanation:

use what is given and put everything in variable terms since this asks for the average, you have to divide by the number of games in the end

Answer:

A

Step-by-step explanation:

First lets take not of the given coordinations.

Based on these cordinates you can conclude the correct places on the map.

Answer:

either C or D

Step-by-step explanation:

Answer:

the answer is c=34

Step-by-step explanation:

use the pythogoras therom since there is a right angle triangle c2=a2+b2

hope this helped:)

Answer:

34

Step-by-step explanation:

[tex]Formula: a^2+B^2=C^2[/tex]

[tex]30^2= 900 \\\\16^2= 256\\\\900+256= 1156\\\\[/tex]

[tex]c^2=1156[/tex]

to find the answer we have to figure out what times itself = 1156

30x30=900 greater than 30 35x35=1225 less than 35

Answer:

(6x9) + (9x1)

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

90 degree counter clockwise rotation about the origin
reflect across the x-axis

Step-by-step explanation:

Answer:

I think none are solutions

Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

Answer:

36 students.

Step-by-step explanation:

5 + 7 = 12.

So the number of students must be a multiple of 12.

So as the number is  between 25 and 43 it must be 36.

Answer:

49

Step-by-step explanation:

Simplify the expression such that the variable has a positive exponent.

Substitute x = 7.

Answer:

7.04, 7.134 ,7.2, 7.413

Step-by-step explanation:

The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles

We are given;

Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters

Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.

Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7

Number of bottles required in a week = 64 bottles

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Answer:

  (c)  2205 cm³

Step-by-step explanation:

The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.

__

  V = LWH

  V = (21 cm)(21 cm)(10 cm) = 4410 cm³

Each piece will have a volume that is half that:

  V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part

Answer:

image below

Step-by-step explanation:

The water tank hold 863.50 [tex]ft^{3}[/tex] of water.

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank =[tex]\pi r^{2} h[/tex]

                                    = 3.14 * 5 * 5 * 11

                                    = 3.14*25*11

                                   = 863.50 [tex]ft^{3}[/tex]

Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.

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Answer:

6.75$

Step-by-step explanation:

because 15% of 45$ is 6.75$

Answer:

126 ft²

Step-by-step explanation:

surface area of rectangular prism: 2(LW + HW + WL)

Here Given:

Surface Area:

height= 3 ft

width= 3 ft

length= 9 ft

the surface area of the given prism.

[tex]s.a = 2(hw + wl + hl )[/tex]

[tex]s.a = 2(3 \times 9 + 3 \times 9 + 3 \times 3)[/tex]

[tex]s.a = 126 \: {ft}^{2} [/tex]

therefore, the surface area of the given prism is 126 square feets.

Answer: y = -13

Step-by-step explanation:

Given:

[tex]\displaystyle \frac{y-8}{3} =-7[/tex]

Multiply both sides by 3:

[tex]\displaystyle y-8 = -21[/tex]

Add 8 to both sides:

[tex]\displaystyle y= -13[/tex]

Given equation,

Aim :

Cross multiplying them,

>> y - 8 = -7 × 3

>> y - 8 = -21

Transposing -8 from L.H.S. to R.H.S.,

>> y = -21 + 8

>> y = -13

Therefore :

Answer: [tex]\displaystyle d=\sqrt{53}[/tex]

Step-by-step explanation:

   We will use the distance formula to solve. See attached and view the work below.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]

[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]

[tex]\displaystyle d=\sqrt{4+49}[/tex]

[tex]\displaystyle d=\sqrt{53}[/tex]

   Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.

Answer:

Lesser x = -14

Greater x = 0

Step-by-step explanation:

Given equation:

[tex]\sf (x+7)^2-49=0[/tex]

Add 49 to both sides:

[tex]\implies \sf (x+7)^2-49+49=0+49[/tex]

[tex]\implies \sf (x+7)^2=49[/tex]

Square root both sides:

[tex]\implies \sf \sqrt{(x+7)^2}=\sqrt{49}[/tex]

[tex]\implies \sf x+7=\pm7[/tex]

Solve for x:

[tex]\implies \sf x+7=7 \implies x=0[/tex]

[tex]\implies \sf x+7=-7 \implies x=-14[/tex]

As -14 < 0

Answer:

I don't even have to look at it It's 17 final answer

Answer:

7 < 3 is false.

Explanation:

a) -3 > -5 is a true statement

b) 7 < 3 is a false statement

c) -5 < -3 is a true statement

d) 3 < 7 is a true statement

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

[tex]\rule{300}{1}[/tex]

The original air present after 8 breaths will be equal to 179.81 ml.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

It is given in the question that:-

During normal breathing, about 12% of the air in the lungs is replaced after one breath

If the initial amount of air in the lungs is 500 mL

how much of the original air is present after 8 breaths?

The calculation for the eduction of the air will be done by the following equation:-

[tex]\rm =Volume \ present\times (0.88)^n\\\\\\= 500\times (0.88)^8[/tex]

=179.88 ml

Hence original air present after 8 breaths will be equal to 179.81 ml.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.

__

  7 + 11 = 18 > 14 . . . . Will make a triangle.

__

  2 + 8 = 10 . . . not greater than 10. Will not make a triangle.

__

This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...

  a +b > c  and  b +c > a  and  c +a > b

_____

Additional comment

There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.

In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;

The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.

In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.

Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

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