The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length of the LONGEST side of the kite. Only write the value of the longest side.

Answers

Answer 1

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

[tex]Perimeter = 50[/tex]

[tex]a=b + 1[/tex]

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

[tex]Perimeter = 2(a + b)[/tex]

Make b the subject in [tex]a=b + 1[/tex]

[tex]b = a -1[/tex]

Substitute a - 1 for b and 50 for Perimeter in [tex]Perimeter = 2(a + b)[/tex]

[tex]50 = 2(a + a - 1)[/tex]

Divide through by 2

[tex]25 = a + a - 1[/tex]

[tex]25 = 2a- 1[/tex]

Add 1 to both sides

[tex]25 + 1 = 2a - 1 +1[/tex]

[tex]25 + 1 = 2a[/tex]

[tex]26 = 2a[/tex]

Solve for a

[tex]a = 26/2[/tex]

[tex]a = 13[/tex]

Hence, the length of the longest side is 13mm


Related Questions

help plz im not smart lolz

Answers

Answer:

D or $8.00

Step-by-step explanation:

The rate of change is every hour is 8. You can tell with the plotted points go up (1,8) each time. Hope this helps.

Find the volume of the cone.




175.9 m3

Correct Answer
167.6 m3

Incorrect Response
418.9 m3


502.7 m3

Answers

Answer:

B

Step-by-step explanation:

The order pair (0 , 0) is a solution to the inequality x > -2 True True False

Answers

Answer: true

Step-by-step explanation:

Answer:

True, because when x is zero (which is greater than -2), y is 0 Which is also true.

Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=

Answers

Answer:

w=7±i√47

-----------

   8

Step-by-step explanation:

-4p+9=-5 can someone help me with P

Answers

Answer:

= 7/2

Step-by-step explanation:

p = 3.5

Step-by-step explanation:

....................

Please help me out, What is the slope?

Answers

Answer:

-1/2

Step-by-step explanation:

Hope this helps!

Find the solution of the system of equations.

-x+2y=-15
8x-2y=-20

Answers

Answer:

the answer is (-5,-10)

hope this helps :)

I asked this already, but can somebody provide an answer with an explanation?

Answers

Answer:

41 cm²

Step-by-step explanation:

Area of triangles

A(ABN) = 1/2b₁hA(CDM)= 1/2b₂h

Area of trapezoid

A(ABCD) = 1/2(b₁ + b₂)h

Since the area of trapezoid is same as the sum of the areas of the triangles, we have:

A = 23 + 18 = 41 cm²

Concepts:

Finding areaArea of figures

Answer: 41 cm²

Triangle lengths:

A(ABN) = 1/2b₁h

A(CDM)= 1/2b₂h

Trapezoid length:

A(ABCD) = 1/2(b₁ + b₂)h

A = 23 + 18 = 41 cm²

You buy
3.16 pounds of
pears​,
1.15 pounds of
apples​, and
2.18 pounds of
peaches. What is your total​ bill?

1.19 pears, 0.99 apples, 1.29 peaches

Answers

Answer:

if the prices at the bottom are per pound, then:

pears = 3.7604 (3.76)

apples = 1.1385 (1.13)

peaches = 2.8122 (2.81)

total bill = 7.07

Step-by-step explanation:

pears =

1.19 x 3.16 = 3.7604 (3.76)

apples =

0.99 x 1.15 = 1.1385 (1.13)

peaches =

1.29 x 2.18 = 2.8122 (2.81)

total bill =

3.76 + 1.13 + 2.81 = x

x = 7.7

7.7 money-wise = 7.07 (i think)

total bill = 7.07

OR

total bill =

3.7604 + 1.1385 + 2.8122 = x

x = 7.7111

----------------

7.7111 = 7.7 = 7.07

Convert 50°F to Celsius.
_____°C

Answers

Answer:

10°C

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

Answer:

10 degrees Celsius

Step-by-step explanation:

Karra is at the dollar store buying bags of chips for her sleepover party. For every 5 bags of chips she buys, she pays $6. What is the price per bag of chips? *Money always has two numbers after the decimal.

Answers

Answer:

$1.20

Step-by-step explanation:

Given that:

Price paid to buy 5 bags of chips = $6

To find:

Price per bag of chips in two digits after the decimal.

Solution:

To find the price of each bag of chips, we need to divide the price of 5 bags of chips with 5.

i.e. we need to divide $6 with 5, then we will get the price of each bag of chips.

[tex]\text{Price of each bag of chips}=\dfrac{\text{Price of 5 bags of chips}}{5}\\\Rightarrow \dfrac{\$6}{5} = \bold{\$1.2}[/tex]

Therefore, the answer is:

Price of each bag of chips is $1.2.

Simplify y^3*y^-5 write your answer using only positive exponents

Answers

Answer:

y2

Step-by-step explanation:

"y3"   was replaced by   "y^3".  1 more similar replacement(s).

Simplify: y5 by y3

1.1    y5 divided by y3 = y(5 - 3) = y2

Final answer:

y2

y³y⁻⁵ can be written in the form of positive exponent is 1/y².

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is y³y⁻⁵

y power three times of y power minus five.

We need to simplify the expression using only positive exponents

From properties of exponents we have, when bases are same then the powers will be added

y³⁻⁵

y⁻²

This can be written as 1/y² as positive exponent.

Hence,  y³y⁻⁵ can be written in the form of positive exponent is 1/y².

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Evaluate the expression when y = 3 and z = -1/5.

1/2z - 2/3y = ?

Thanks, if you help!
(7th grade ‘algebra’)

Answers

Answer:

-9/10

Step-by-step explanation:

Plug In: y = 3 z = -1/5

1/2z - 2/3y

Multiply:

1/2(-1/5) - 2/3(3)

Solve:

-1/10 - 2 = -.1 - 2 = -.9 = -9/10

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St. Ives.

Answers

Answer: [tex]x+x^2+x^3+x^4[/tex]

Step-by-step explanation:

As per given,

Number of wives = [tex]x[/tex]

Number of sacks = [tex]x (\text{Number of wives} )= x\times x = x^2[/tex]

Number of cats = [tex]x(\text{Number of sack})[/tex][tex]= x \times x^2=x^3[/tex]

Number of kits = [tex]x(\text{Number of cats} )=x\times x^3=x^4[/tex]

Now , the total number of kits, cats, sacks, and wives going to St. Ives = [tex]x+x^2+x^3+x^4[/tex]

Hence, the required ex[pression:  [tex]x+x^2+x^3+x^4[/tex]

Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?

Answers

Answer:

2/5 is left

Step-by-step explanation:

2000x+6000=3600-40000

Answers

Answer:

x = -21.2

Step-by-step explanation:

2000x + 6000 = 3600 - 40000

2000x = -36400 - 6000

x = -42400 / 2000

x = -21.2

Hope this helped!

Answer:

x = − 106/5

Step-by-step explanation:

How to solve your question

Your question is

2000x+6000=3600−40000

Subtract the numbers

2000x+6000=3600−40000

2000x+6000=−36400

Subtract 

6000

60006000

 from both sides of the equation

2000+6000=−36400

2000x+6000=-364002000x+6000=−36400

2000+6000−6000=−36400−6000

Divide both sides of the equation by the same term

2000=−42400

2000x=-424002000x=−42400

20002000=−424002000

\frac{2000x}{{\color{#c92786}{2000}}}=\frac{-42400}{{\color{#c92786}{2000}}}20002000x=2000−42400

5

Solution

x= −106/5

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Brian and Derek have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Brian earns a base wage of $13 per hour, as well as $1 for every subscription that he sells. Derek gets $4 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How much would each one earn? How many subscriptions would that be?


Brian and Derek will each earn $___ if they sell___subscriptions in an hour.

Answers

Answer: Brian & Derek will earn $25 If  they sell 8 and 12.

Step-by-step explanation:

Each unit on the map represents 1 mile. To the nearest tenth of a mile, what is the distance from the
library to the supermarket?

Answers

Answer:

5.8 miles

Step-by-step explanation:

Distance of library(3, 2) to the supermarket (6, 7) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (3, 2) = (x_1, y_1) [/tex]

[tex] (6, 7) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(6 - 3)^2 + (7 - 2)^2} [/tex]

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

[tex] d = \sqrt{9 + 25} [/tex]

[tex] d = \sqrt{34} = 5.8 miles [/tex] (nearest tenth).

Graph ​y=47x−2​.

Use the line tool and select two points on the line.

Answers

Answer :slope is 47  y intercept is (0,-2)

Step-by-step explanation:

PLZ HELP! QUESTION IS BELOW!

Answers

Answer:

27

Step-by-step explanation:

4 touchdown passes=24

18 complete passes=34

8 incomplete passes=30

2 interceptions=27

Final answer=27

Simplify.
3
(-4a64)
Write your answer without parentheses.

Answers

Answer:

64w2.

Step-by-step explanation:

40% of (100-20 of 300) is equal to​

Answers

Answer:

-2360 is the calculated answer


For the graph, locate the x-intercept and the y-
intercept.
The x-intercept is at
The y-intercept is at

Answers

x intercept= 6
y intercept= -2

Answer:

(6,0)

(0,-2)

Step-by-step explanation:

evaluate the piece wise function​

Answers

Answer:

i think [tex]g(12)=\frac{5.12}{6}=10[/tex] because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)

so t = 12 only satisfy the second equaton with 6≤t≤12

Step-by-step explanation:

Find the slope of the line that passes through (9,10) and (6,8)​

Answers

Answer:

2/3x+4

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

y1-y2= 10-8=2

x1-x2=9-6=3

There are 80 seats on a train. 76 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer:

95%

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

Multiply both 80 and 76 by 100, to get 800 and 760. Then divied both by 8 to get 100 and 95. 95 is 95% of 100, and so 76 is 95% of 80. Hope this helps!

Please help me I don’t understand this and I really need to get my grade up.

Answers

Answer:F=7

Step-by-step explanation:

The answer is D because remember, altitudes are segments that connect a vertex with the opposite to form right angles. The orthocenter is where the the altitudes all intersect one another.

A school had 1,200 students last year and only 984 students this year. What was the percentage decrease in the number of students?

Answers

Answer:

46%

Step-by-step explanation:

Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building? ​

Answers

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

Could someone help me complete this chart? It’s kinda confusing.

Answers

Answer:

1. - completed

2. expanded = a · a · a · a

3. base = a | exponent = 5 | expanded = a · a · a · a · a

4. - completed

5. base = c | exponent = 3 | expanded = c · c · c

6. base = c | exponent = 4 | expanded = c · c · c · c

7. base = m | exponent = 2 | expanded = m · m

8. base = m | exponent = 3 | expanded = m · m · m

9. power = y⁵ | base = y | exponent = 5

10. power = y⁸ | expanded = y · y · y · y · y · y · y · y

hope this helps ! brainliest ?

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