You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answers
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m
Related Questions
The selling price for a classic speedboat is $12,000. what was the speedboats original price if it is currently selling for $2,000 less than two times its original price?
Answers
Answer:
$7,000
Step-by-step explanation:
Let [tex]x[/tex] equal the original price.
[tex]12,000+2000=2x[/tex]
Combine like terms.
[tex]14,000=2x[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]
[tex]7,000=x[/tex]
If you like the variable on the left, rewrite:
[tex]x=7,000[/tex]
Find the value of x in each case:
Answers
angle FEB = angle ABE ( Alternate Interior Angles )
angle FEB = 4x = angle ABE
Solution:x + 4x + 65° = 180° ( sum of the Angles On the same line is equal to 18° )
or, 5x = 180° - 65°
or, x = 115/5
or, x = 23
Answer:The value of x is 23°.
4x = 4(23) = 92°.
Find a perimeter of the bouncy castle find the area of the bouncy castle 2X squared minus 3X +7 times X squared +4
Answers
Answer:
The answer is below
Step-by-step explanation:
From the image attached, the length of the bouncy castle is X² +4 and the width is 2x² - 3x +7
The bouncy castle is a rectangle. A rectangle is a quadrilateral in which opposite sides are equal and all the angles have equal measures. The diagonals of a rectangle also bisect each other. The perimeter of a rectangle = 2(length + breadth), Hence for the bouncy castle:
Perimeter of castle = 2(length + breadth) = 2(x² + 4 + (2x² - 3x +7)) = 2(3x² - 3x + 11) = 6x² - 6x + 22
Perimeter of castle = 6x² - 6x + 22
The area of the castle = length × breadth = x² + 4 × (2x² - 3x +7)) = 2x⁴ - 3x³ + 7x² + 8x² - 12x + 28 = 2x⁴ - 3x³ + 15x² - 12x + 28
Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?
Answers
A student moves into a bigger apartment that rents for $550 per month. That rent is $300 less than twice what she had been paying. Find her former rent in dollars.
$
Answers
Answer:
Step-by-step explanation:
Her former rent is $ x
Twice the former rent: 2*x = 2x
$300 less than 2x: 2x - 300
2x - 300 = 550
Add 300 to both sides
2x - 300 + 300 = 550 + 300
2x = 850
Divide both sides by 2
2x/2 = 850/2
x = 425
Her former rent = $425
In this question, the older and newer rents of a student in two apartments in given. And some conditions and information is also provided,
GiveN:
New rent = $ 550This is $ 300 less than twice the previousWe have find her rent in the previous apartment.
Let her previous rent be $ x
Then according to question,
➝ $ 550 = 2x - $ 300
Adding $ 300 both sides,
➝ $ 550 + $ 300 = 2x
Flipping it,
➝ 2x = $ 850
➝ x = $ 425
So, The previous rent of the student:
[tex] \huge{ \boxed{ \bf{ \$ \: 425}}}[/tex]
And we are done !!
#CarryOnLearning
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How do you write 8.095 in word form?
Answers
Answer:
How to Write Out Number 8.095 in Words:
eight and ninety-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Answer:
eight and ninety five thousandths
Step-by-step explanation:
what is 8653 × 8975??????????????????????????????
Answers
Answer:
8653 × 8975= 77660675.
So the answer is 77660675
Hope I helped you
Answer:
the answer is 77660675
Step-by-step explanation:
The double number line shows that
4
44 pounds of almonds cost
$
34
$34dollar sign, 34.
Answers
Answer:
round them up
Step-by-step explanation:
how to combine two integers
Answers
The simplest approach to do this is:
Convert both numbers to string
Concatenate both strings into one, as this is comparatively easy
Convert this concatenated string back to integer
Step-by-step explanation:
Given two integers n1 and n2, the task is to concatenate these two integers into one integer.
Example:
Input: n1 = 12, n2 = 34
Output: 1234
Input: n1 = 1, n2 = 93
Output: 193
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $10 every month. The second option is to put $100 away initially and save $30 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.
Answers
Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
Jasmine is in charge purchasing tubes of silicone sealant, used for finishing
restroom facilities. She finds that she is able to purchase silicone sealant in cone
tubes. She knows that a jumbo cone of sealant has a top diameter of 8 inches and
a height of 12 inches, and a regular cone of sealant has a top diameter of 4 inches
and a height of 6 inches. Jasmine believes that with her order of sealant, that she
can get the same amount of silicone sealant from two regular cones as from one
jumbo cone,
a) Is Jasmina correct about the silicone sealant cones?
If you think Jasmina is correct explain why.
If you think she is incorrect replace the statement with one that is correct.
Explain why your statement is correct.
b) If the price for a regular cone of sealant is $3.40, what is a 'fair price' for a
jumbo cone?
Answers
Answer:
a) Jasmine or Jasmina is correct about the silicone sealant cones.
If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).
b) If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2).
Step-by-step explanation:
Jumbo cone of sealant has top diameter of 8 inches and a height of 12 inches
Regular cone of sealant has top diameter of 4 inches and a height of 6 inches
If Jasmine orders two regular cones of regular sealant, it will be equal to the Jumbo cone of sealant, because the top diameter when put together in a Jumbo cone will give the same result as a Jumbo cone, since 4 * 2 = 8 inches (top diameter) and 6 * 2 = 12 inches (height).
If the price for a regular cone of sealant is $3.40, the 'fair price' for a jumbo cone should be $6.80 ($3.40 * 2), since two of the regular cone will give the value of a Jumbo cone.
I got this question wrong. So the 50% is not right. Please help.
Answers
Answer:
25%
Step-by-step explanation:
sorry if its wrong but im pretty sure its 25%
the answer is 3/8
give me a brainliest
There are 15 different pieces of cheese on the plate. Is it possible by dividing only one piece to divide all into two groups with equal weight and equal amount of pieces in each?
Answers
Answer:
It is possible.
Step-by-step explanation:
Each piece of cheese can be divided into two equal pieces.
Therefore, the 15 different pieces can produce 30 (15 * 2) equal pieces.
Then there will be 15 pieces in each group.
Provided during the division, it is ensured that equal weights were allocated to each piece, then each group will have the same weight as the other group.
Note that the division of the 15 pieces of cheese into two equal parts looks like the only way to have equal weight of two groups of the delicacy.
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answers
Answer: -13
Step-by-step explanation:
The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
Distance = 7 + 5
Distance = 12 feet
Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
To know more about an expression follow
https://brainly.com/question/1237844
#SPJ5
2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular
bisector point M. (5 points)
From c to d line
I need help fast
Answers
Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
-2X=-42
What do I do to this problem
Answers
X= 21
As a child gets older, will they be able to solve a puzzle faster? What is the dependent variable?
Answers
Answer:
the dependant variable is the time
(7x+40)+(6x+43)=180 x? Z?
Answers
[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]
I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]
Which of the following r-values indicates the strongest correlation? r-value = 0.73 r-value = 0.73 r-value = 0.99 r-value = 0.99 r-value = - 0.85 r-value = - 0.85 r-value = - 0.17
Answers
Answer:
[tex]r-value = 0.99[/tex]
Step-by-step explanation:
Given
The list of options
Required
Which represents the strongest correlation.
When [tex]r-value > 0.7[/tex], it is considered to be strong.
Compare this condition with the given options, we're left with:
[tex]r-value = 0.73[/tex]
[tex]r-value = 0.99[/tex]
The above r-values show strong correlation.
However
[tex]r-value = 0.99[/tex] is stronger
because [tex]0.99 > 0.73[/tex]
Hence;
[tex]r-value = 0.99[/tex] answers the question
In science class, Sarah calculates the mass of a planet to be 918,000,000,000,000,000,000 kg. What is the mass of the planet in scientific notation? 91.8×1019 kg 9.18×10−20 kg 918×1018 kg 9.18×1020 kg
Answers
Answer:
Step-by-step explanation:
↘↘↘↙↙↖↗↙↖
Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9
Answers
Answer:
9 =6x
Step-by-step explanation:
We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.
Answer:
9/6 or 1.5
Step-by-step explanation:
both are right
Today only, a table is being sold at a 62% discount. The sale price is $144.40.
What was the price yesterday?
Answers
$ 232.90
Step-by-step explanation:62% ........... $144.40
100% ..........$ x
x = 144.40×100/62
= 14440/62
= $ 232.90
What is the length of EF?
6 units
10
8 units
7 units
10%
-2 0
-2-
2 units
H Н
-4
G
-6
-B
10
Answers
Answer:
7
Step-by-step explanation:
Question 3
1 pts
Which number could be used as a counterexample to show that the conjecture
"All multiples of 3 are odd" is false?
12
027
O 33
O 15
Answers
The correct answer is A. 12
Explanation:
In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).
On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.
Seven oxide thickness measurements of wafers are studied to assess quality in a semiconductor manufacturing process. The data (in angstroms) are: 1264, 1288, 1272, 1304, 1280, 1301, and 1270. Calculate (a) the sample average and (b) sample standard deviation. Round both answers to 1 decimal places.
Answers
Answer:
a. Mean = 1,282.7 Angstroms
b. Standard deviation = 15.5
Step-by-step explanation:
a. Firstly, we are told to calculate the sample average. This is same as the mean;
Mathematically that would be;
The value of the sum of terms/ The number of terms.
= (1264 + 1288 + 1272 + 1304 + 1280 + 1301 + 1270)/7 = 8979/7 = 1282.7
b. Standard deviation
Mathematically, this is the square root of variance
= √{(x - mean)^2/N-1}
Please check attachment for the breakdown of this
Where in real life do you work with radical expressions and functions? Give an example of your own.
Answers
What is 17% of 425=?
Answers
17% of 425 is 72.25.
Jamila paid $6 for a movie ticket, $1.59 for a small box of popcorn, and $2.50 for a drink at a movie theater. Which operation(s) would help Jamila find the total amount she spent at the theater?
Answers
Answer:
addition
Step-by-step explanation:
Answer:
It would be addition since you can see thats litterly the problem
Step-by-step explanation:
if 49+ b2= 169, what is b2?
Answers
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Write the expression: Five times the opposite of a number *
Answers
Answer:
5(-x)
Step-by-step explanation: