the perimeter of a jamaican flag is 90 inches. the length is twice its width. find the dimensions of the flag

Answers

Answer 1

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

Finding the dimensions of a rectangular flag:

[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]

  Let width = x inches

     Length =  2*x = 2x inches

                 Perimeter = 90 inches

2 *length  + 2* width = 90

            2*2x  + 2*x     = 90

                   4x + 2x    = 90

Combine like terms,

                             6x = 90

Divide both sides by 6,

                                x = 90/6

                                x = 15

Dimensions:

Width = 15 inches

Length = 2*15 = 30 inches.


Related Questions

PLEASE HELP! This is over due please help ASAP! I’ll give brainliest! please!

Solve the inequality. Graph your solution.

2x-1/3/3 +3 <= -4 OR 8x-2/2 -1 => 6

A. X <= -10 or x => 2

B. X <= -2 or x => 2

C. X => -10 or => 2

D. Z <= -4 or x=> 9/8


(I’m sure it was obvious but im just letting you know I used =><= for the “ greater/less than or equal to” signs)

Answers

Answer:b

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORKKKKKKKKKKK PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ


Solve the inequality below.

Answers

Answer:

6.8

Step-by-step explanation:

In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.

-6/5 as a decimal is -1.2

-1.2+8= 6.8

So it is 6.8>-10

Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?

Round the decimal to the nearest tenth.There are
____ × 10____
times more bacteria in the petri dish this week compared to last week.

Answers

Answer:

Step-by-step explanation:

2.75 x 10⁵ ) / (2.25 x 10² )= (2.75 / 2.25) x 10⁵⁻²= 1.2 x 10³ times .(That's 1,200 times as many.)

43.82 feet 50.02 feet What is the difference between the two distances?

Answers

The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.

How to find the difference between two numbers?

Subtract the greatest from the smallest value of two numbers to determine the difference between them. The difference between the two numbers is the sum's product.

Given,

The two distances:

x = 43.82 feet

y = 50.02 feet

We have to determine the difference between x and y.

That is,

y – x. This is because y > x.

y – x = 50.02 feet – 43.82 feet = 6.2 feet.

Therefore,

The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.

Learn more about difference between numbers here:

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1.Find the product. Simplify as low as possible
5/19 × 2 8/15​

Answers

I think this should help you.
Have a good day

a 12-ft ladder leans against a building so that the angle between the ground and the ladder is 74°. how high does the ladder reach on the building? (round your answer to the nearest foot.)

Answers

Answer:

12 feet

Step-by-step explanation:

Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!

We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

Plug in known values:

[tex]sin(74^o)=\frac{x}{12}[/tex]

Rearrange to isolate the variable:

[tex]x=12sin(74^o)[/tex]

Simplify!

[tex]x=11.535140... ft[/tex]

Round to the nearest foot:

[tex]x=12ft[/tex]

draw moels for two gardens, one that is 6 ftx 3 ft and one that is 6 ft x 4ft.

Answers

Both the garden are in the shape of rectangles.

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

The dimension of the two gardens are given as:

6 ft ×3 ft and 6 ft × 4 ft

From the dimension, we can conclude that the gardens are in the shape of a rectangle.

For the first garden 6 ft ×3 ft,

The length of the garden is l = 6 ft and;

The breadth of the garden is b = 3 ft.

Similarly,

For the second garden  6 ft × 4 f,

The length of the garden is l = 6 ft and;

The breadth of the garden is b = 4 ft.

The models for the two gardens:

Learn more about rectangles here:

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Someone please help, I have a midterm and I have no idea what I’m doing ‍♀️

Answers

Answer:

7% of 100 is 7 so 100 + 7 = 107

Step-by-step explanation:

If M is the centroid of triangle ABC, AM = 44, CE =54, and DM
= 23, find each missing measure.
FM=?

Answers

Answer:

FM = 22

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1

Therefore, AM : FM = 2 : 1

Let AM = 2x and FM = x

Since, AM = 44

Therefore, 2x = 44

x = 44/2

x = 22

FM = 22

Rita runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?

Answers

Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?

Answers

Answer:

The answer is  6.88.

Step-by-step explanation:

The mean absolute deviation for the given data will be equal to 6.9.

What is the mean absolute deviation?

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.

It is a statistical summary of statistical variability or dispersion.

The formula used to calculate MAD is given below:-

MAD = 1/n ∑ |xi-m|

The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.

Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5

Mean = 192 / 5 = 38.4

The MAD will be calculated as below:-

MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]

MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5

MAD = 6.9

Therefore, the mean absolute deviation for the given data will be equal to 6.9.

To know more about Mean absolute deviation follow

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multiply
6x 10 by 12,2

Answers

Answer:

Huh??

Step-by-step explanation:

6x10=60/12=5×2=10??????

Find the slope from the table.

Answers

The answer is c.
The slope is looking for how much the number changes for every x value. The x values in the table increase by 2 and the y values increase by 6. Using rise over run, this would mean that the slope is 6/2 which equals 3.

Answer this question please and thank you

Answers

Answer:

I think it's 62 :D

Step-by-step explanation:

52 - (-10)= 62

i believe that the answer is 62

15x=5(4-x)
X=?
Merry Christmas and Happy New Year!

Answers

Answer:

Merry Christmas!!!! :D

Step-by-step explanation:

The awnser is 1 :D

Answer:

x=1

Step-by-step explanation:

15x=5(4-x)

15x=20-5x

20x=20

x=1

Happy Holidays! Please give me brainliest!

Please help will mark the brainliest

Answers

Answer:

y=-x-2 this is the answer

If the area of a semicircle is 77cm² then find its perimeter.​

Answers

[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]

Area of the semicircle = 77 cm²

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]

Perimeter of the circle

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]

[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]

[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]

[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]

[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]

[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]

[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]

[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]

[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]

━━━━━━━━━━━━━━━━━━━━━

What’s the answer to
-3x/5-5=-8

Answers

Answer:

x=1/5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?

A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.

Answers

B is the answer you are looking for

3 + 5f - (24 - 9g) for f= 6.2 and g= 2.1​

Answers

Answer:

28.9

Step-by-step explanation:

3+5(6.2)-(24-9(2.1))

3+31-(5.1)

34-5.1

28.9

Answer:

28.9

Step-by-step explanation:

Helpppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to check the given list and state the true values;

1. This is true

Compound interest has the exponent nt; simple interest has no exponent

2. This is false

Simple interest is only earned on the principal which is the amount deposited

3. True

Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame

4. This is false; check explanations above

5. This is true

Its value is only based on the amount invested originally

6. This is false

simple interest earns the same amount annually based on rate

7. This is false

Both considers the time factor t in their formulas

8. This is true

The interest and principal forms the principal for another compounding time

Select whether each function is linear or nonlinear

Y=9(2x)
Y=(5x+3)^2
Y=8x^2
Y=5x-3
Y=3x^2+2x-1

If I put ^ before a number it means it's an exponent if anyone doesn't know

Answers

Answer:

liner Y=9(2x)  Y=5x-3

Step-by-step explanation:

Y=9(2x) and y = 5x - 3 are linear equations while others are non-linear.

The standard linear equation is in the form y = mx + b

Note that the highest degree of linear equation is 1 while that of non-linear is 2 and above.

From the given option, we can see that the equation with the highest degree of 1 are Y=9(2x) and y = 5x - 3 (These ar linear equations)

Other equations are non-linear in nature since they have a degree of 2 or more.

Learn more on linear and nonlinear equation here: https://brainly.com/question/2030026

Kelly scored 56.73 points and Karen scored 74.92 points on an exam. How many points less did Kelly score than Karen?

Answers

kelly scored 22.21 points less than karen

Can someone help with this

Answers

Answer:

I hope this helps you

Step-by-step explanation:

50.2654824574

PLEASE HELPPP!!!

San Francisco is well known for its fog: very thick, low-lying clouds that hide its hills. One foggy day, Penelope is practicing kicking a football. Once she kicks the football so high that it disappears into the fog! The height of the ball (in feet) can be represented at time (in seconds) by the equation h(t)=−16t2+64t . The ball disappears into the fog when it is 40 feet high.


a) Write an inequality that represents the times during which the ball was not visible.


b) Solve the inequality and represent your solution algebraically and on a number line. Also, write a sentence explaining your answer in the context of the problem.


c) How high does Penelope kick the football?


d) When does it reach its maximum height?

Answers

Answer:

a) [tex]-16t^{2}+64t\geq40[/tex]

b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]

(see attached picture for the number line)

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) [tex]h_{max}=64ft[/tex]

d) t=2s

Step-by-step explanation:

a)

Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:

[tex]-16t^{2}+64t\geq40[/tex]

this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.

b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:

[tex]-16t^{2}+64t =40[/tex]

we can move the 40 to the other side of the equation so we get:

[tex]-16t^{2}+64t-40=0[/tex]

we can factor the equation so it's easier to solve, so we get:

[tex]-8(2t^{2}-8t+5) =0[/tex]

which simplifies to:

[tex]2t^{2}-8t+5=0[/tex]

and we can use the quadratic formula to solve this equation, so we get:

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]

so we get:

[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]

which yields:

[tex]2\pm \frac{\sqrt{6}}{2}[/tex]

and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex]  for a test value of 0

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4

so next we test each of the values in the original inequality and see if the inequality is true:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0

[tex]-16(0)^{2}+64(0)\geq40[/tex]

[tex]0\geq40[/tex] false

so this is not an answer.

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex]-16(1)^{2}+64(1)\geq40[/tex]

[tex]48\geq40[/tex]

true, so this is an answer.

[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4

[tex]-16(4)^{2}+64(4)\geq40[/tex]

[tex]-16(16)+64(4)\geq40[/tex]

[tex]-256+256\geq40[/tex]

[tex]0\geq40[/tex]

false, so this is no answer.

So the answer is the interval:

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)

so we can use the following formula to find the t-value for this maximum height:

[tex]t=-\frac{b}{2a}[/tex]

so we substitute the corresponding values:

[tex]t=-\frac{64}{2(-16)}[/tex]

which yields:

t=2s

next, we can substitute this time into the original function to find the maximum height, so we get:

[tex]h=-16(2)^{2}+64(2)[/tex]

which yields:

h=64 ft

d) We found the answer for d on the previous part where we got that t=2s

On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.

Answers

Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

translation and reflection​

Answers

J: (3, 10)
K: (2, 8)
L: (8, 6)

The length of a pencil is 7½ inches. What is the combined length of 9 pencils that are this size?

Answers

Answer:

67.5

Step-by-step explanation:

7.5 (the lenght of the pencil) multiplied by 9 (the number of pencils) is 67.5

Answer:

7in

Step-by-step explanation:

whats the square root of 9?

Answers

Answer:

The answer is 3

Step-by-step explanation:

I think it is 3. Ok ok ok

Find the surface area of a cylinder with a height of 9 inches and a base radius of 4 in ches

Answers

hello ! I believe the answer is 326.73 in²

Hope this helps ! :))
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