Dae-Hyun drew a picture of a cruise ship that he saw docked at Port Canaveral. He used the scale shown below.
1/4 inch : 32 feet

His picture is 9.25 inches long.
What is the length of the actual cruise ship?
296 feet
592 feet
888 feet
1,184 feet

Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6 8 = 20x x = 8/20, simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The equivalent expressions of 10/9 + 2/9m − 4/9n are 2/9(5 + m - 2n) and -2/9(2n − m − 5)

From the question, we have the following parameters that can be used in our computation:

109+ 29m − 49n

Express the expression properly

So, we have the following representation

10/9 + 2/9m − 4/9n

Factor out 2/9

So, we have

2/9(5 + m - 2n)

Factor out -1 from the expression

So, we have the following representation

-2/9(2n − m − 5)

Hence, the equivalent expression is -2/9(2n − m − 5)

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

Answer:

[tex]A_s=2.28yd^2[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=2yd[/tex]

Pie [tex]\pi=3.14[/tex]

Generally the equation for Area of the shaded part [tex](A_s)[/tex] is mathematically given by

[tex]A_s=Area\ of\ semi-circle(A_c)-Area\ of\ triangle(A_t)[/tex]

Generally the equation for Area of semi-circle is mathematically given by

 [tex]A_c=\frac{1}{2}\pi r^2[/tex]

 [tex]A_c=\frac{1}{2}*(3.14) (2)^2[/tex]

[tex]A_c=6.28yd^2[/tex]

Generally the equation for Area of triangle is mathematically given by

 [tex]A_t=\frac{1}{2} base*height[/tex]

 [tex]A_t=\frac{1}{2} (2+2)*2[/tex]

 [tex]A_t=4yd^2[/tex]

Therefore Area of the shaded part [tex](A_s)[/tex]

 [tex]A_s=A_c-A_t[/tex]

 [tex]A_s=6.28yd^2-4yd^2[/tex]

 [tex]A_s=2.28yd^2[/tex]

Answer:

3 tan theta=root 3

tan theta=root 3/3

tan theta=0.57

Step-by-step explanation:

Answer:

m<1=50

m<2=130

m<3=50

m<4=130

m<5=40

m<6=40

m<7=90

m<8=140

Step-by-step explanation:

Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

Answer:

1st off its which*

and ur answer is 138

Answer:-√2 sin (45° - A)

Step-by-step explanation:

Answer:

Given that ,

738 students wore red while 162 students wore green.

Therefore , total number of students ,

[tex]\dashrightarrow \: 738 + 162 \\ \dashrightarrow \: 900[/tex]

Now , 738 students out of 900 wore red.

So , percentage of students who wore red ,

[tex]\dashrightarrow \: \frac{738}{9\cancel{00}} \times \cancel{100} \\ \\ \dashrightarrow \: \cancel\frac{738}{9} \\ \\ \dashrightarrow \: 82\%[/tex]

hope helpful :-;

A triangle is said to be acute if the sum of the squares of its two shorter sides is greater than the square of its longest side.

Less than 90 degree angles are considered acute. Right angles have a 90 degree angle. Angles that are obtuse exceed 90 degrees.

See samples of various angles and learn about them. If and only if side lengths a, b, and c satisfy a2 + b = c2, a right triangle will be formed. These numbers are referred to as a Pythagorean triple. When the square of a triangle's longest side equals the sum of the squares of its other two sides, the triangle is said to be a right triangle. So, in the ABC equation, if c2=a2+b2, then C is a right triangle, with PQR serving as the right angle.

To learn more about How do you know if right obtuse or acute refer to:

https://brainly.com/question/30128589

#SPJ4

Answer:

Step-by-step explanation:

Perimeter is the addition of all the sides.

So in this question, if you add up all the sides :

14x + 8x +7x +12

Simplify by adding all terms with x :

29x + 12  

(As you can not add a number constant to a variable )

Answer:

72xy1

Step-by-step explanation:

becuz the multiple of 9,6 and 24 is 72 and the multiple of x is 1x which is just x and the multiple of y is 1y

Answer:

y= ae^pi + C2e ^ -1/2 pi

Step-by-step explanation:

i couldnt type out symbols, hope this helps

The area of the garage door on the blueprint is 0.55 ft^2.

The size of a patch on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given in question,

Scale factor = 0.05

Since this scale factor is for length.

The scale factor for the area = 0.05*0.05

                                          = 0.0025

Original Area = 220

The area on the blueprint = 0.0025*220

                                       = 0.55

Hence, the area of the garage door on the blueprint is 0.55 ft^2.

To learn more about area here:

https://brainly.com/question/27683633

#SPJ4

Answer:

y = i*x + 6

Step-by-step explanation:

Most often we use 'm' to represent 'slope.'  Here you have used 'i' which is highly unusual.

Plugging in 'i' for slope and 6 for b, y = mx + b becomes

y = i*x + 6

Answer: -40

Step-by-step explanation:

This answer is only correct if that last number is 52. So if the last number is something other than 52 then the answer is wrong,

The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:

You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.

To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:

0.25x + 0.05y = 4.60.

This means that:

The result of this sum means that the total amount of money that you have is of $4.60.

The first equation is given as follows:

x + y = 24.

Which means that the total number of coins that you have is of 24.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer: A

Step-by-step explanation:

I took the test

Area of the pond is 86.625 m²

Given data :

Diameter of the pond = 14m

Radius of the inner circle (pond), r = 7 m

Width of the concrete path = 1.75m

Radius of outer circle (Including pond + Path), R = 7 + 1.75 = 8.75 m

Area of the path = Area of the outer circle − Area of the inner circle.

= πR² - πr²

= 22 / 7 x ( 8.75 + 7) ( 8.75 − 7 )

= 86.625 m²

Learn more about circle's area refer to :

https://brainly.com/question/14068861

#SPJ4

Answer:

You need to combine like terms

answer:

5/3 m

Step-by-step explanation:

because 3/3=1 so teacher choose boys

uh     ..................

Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]

Therefore, the y-intercept of the given linear equation is:

Answer:

(2 x 10) + (4 x 1) + (2 x 0.1) + (1 x 0.01)

Step-by-step explanation:

The expanded form of 24.21 = (20 + 4 + 0.2+ 0.01)

The expanded form of an equation requires writing out the place value term of each digit of the number given :

24.21 :

Tens digit = 2 × 10 = 20

Unit digit = 4 × 1 = 4

Tenth digit = 2 × 0.1 = 0.2

Hundredth digit = 1 × 0.01 = 0.01

Hence, the expanded form of the number is :

(20 + 4 + 0.2+ 0.01)

Learn more : brainly.com/question/2822892?referrer=searchResults

The answers are given as 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once. Curve of the graph is a pictorial representation of a particular function.

Given :  A object is thrown from the top of the building thus by observing the graph we derive the following information

1) Maximum height = 165 m

2) The object reaches maximum height at t=3 seconds

3) The time it took to reach the ground is 9 seconds

4) The building is 120 m tall

Hence, the answers are  1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

Learn more about curves here:

https://brainly.com/question/28793630

#SPJ1

Answer:

B 16/3

Step-by-step explanation:

on edg

The volume of the pyramid shown is 16√3 cm³.

Volume of a three dimensional shape is the space occupied by the shape.

Given a solid oblique pyramid.

It has an equilateral triangle as a base with an edge length of 4√3 cm and an area of 12√3 cm².

Volume of the pyramid = 1/3 × base area × height

Base area = 12√3 cm²

Height = 4√3 × tan (30°) = 4√3 × 1/√3 = 4

Volume = 1/3 × 12√3 × 4

             = 16√3 cm³

Hence the volume is 16√3 cm³.

Learn more about Volume here :

https://brainly.com/question/17615619

#SPJ5

Answer:

answer is below

Step-by-step explanation:

1.

Two lines from right angles.

The lines are perpendicular

2.

x + 20 = 32

x =12

3.

You are a third year high school student.

You are a junior high school student.

4.

An angle measures 20°.

The angle is acute.

5.

A figure is square.

The figure is quadrilateral.

The Answer is D

I REALLY hope this helps :D

It is the graph of f(x) translated 3 units down.

Answer:

D

Step-by-step explanation:

Because f(x) translated 3 down