Find the perimeter of the triangle with vertices D(5, 6), E (10, 9), and F(7, 11). Do not
round before calculating the perimeter. After calculating the perimeter, round your
answer to the nearest tenth.
The perimeter is
units.
Answers
Answer:
Perimeter of triangle = 14.82 approx.
Step-by-step explanation:
Given:
D(5, 6)
E (10, 9)
F(7, 11)
Find:
Perimeter of triangle
Computation:
Distance = √(x1-x2)² + (y1-y2)²
Perimeter of triangle = DE + EF + FD
Perimeter of triangle = √(5-10)² + (6-9)² + √(10-7)² + (9-11)² + √(7-5)² + (11-6)²
Perimeter of triangle = √25 + 9 + √9 + 4 + √4 + 25
Perimeter of triangle = √34 + √13 + √29
Perimeter of triangle = 5.83 + 3.6 + 5.3851
Perimeter of triangle = 14.8151
Perimeter of triangle = 14.82 approx.
Related Questions
What is 4 1/4 as a decimal number ?
Answers
Answer: It took me a long time to write this. Can i have brainliest if it is alright? =3
Step-by-step explanation: To start off, note that 4 1/4 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.
4 = Whole number
1 = Numerator
4 = Denominator
To get 4 1/4 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
Here are the detailed math steps we use to convert 4 1/4 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:
4 × 4 = 16
Step 2: Add the product you got in Step 1 to the numerator:
16 + 1 = 17
Step 3: Divide the sum from Step 2 by the denominator:
17 ÷ 4 = 4.25
That's it folks! The answer to 4 1/4 in decimal form is displayed below:
4 1/4 = 4.25
So the answer is 4.25 ^^^^^^^^^Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answers
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
CNN reported in early 2018 that higher-income shoppers are the biggest bargain shoppers searching Amazon, clicking on their mobile devices and even querying Alexa looking for the best deals. If Rebecca Johnson purchased a state-of-the-art Biologique Recherche facial machine for her home business for $123,000, with a useful life of 4 years and a residual value of $42,500.
What would be the book value of the machine after the first year using the straight-line depreciation method?
Answers
To calculate the book value of the Biologique Recherche facial machine after the first year using the straight-line depreciation method, we can use the following formula:
Book Value = Cost - (Depreciation Expense * Number of Years Depreciated)
In this case, the cost of the machine is $123,000, the useful life is 4 years, and the residual value is $42,500. We can use these values to calculate the annual depreciation expense as follows:
Annual Depreciation Expense = (Cost - Residual Value) / Useful Life
= ($123,000 - $42,500) / 4
= $30,375
To calculate the book value of the machine after the first year, we can plug these values into the formula above:
Book Value = $123,000 - ($30,375 * 1)
= $123,000 - $30,375
= $92,625
Therefore, the book value of the Biologique Recherche facial machine after the first year using the straight-line depreciation method would be $92,625.
Answer:
$92,875
Step-by-step explanation:
To calculate the book value of the machine after the first year using the straight-line depreciation method, you would need to subtract the annual depreciation expense from the original cost of the machine. The annual depreciation expense is calculated by subtracting the residual value of the machine from the original cost and dividing that amount by the useful life of the machine in years.
In this case, the annual depreciation expense would be calculated as follows:
Annual depreciation expense = ($123,000 - $42,500) / 4 years = $30,125 per year
Therefore, the book value of the machine after the first year would be:
Book value = $123,000 - $30,125 = $92,875
This means that the machine would be recorded on Rebecca's balance sheet as having a value of $92,875 after the first year of use.
What is the general form of the equation of the line shown?
Answers
Answer:
y-2=0
Step-by-step explanation:
Add the 2 to the other side and it would be y=2
b. Convert years to days.
4 years =
.xl
year)
days)
Il
days
Answers
Answer:
1460 Days
Step-by-step explanation:
365*4
Answer:
1460 days.
Step-by-step explanation:
An amount of $42,000 is borrowed for 6 years at 9% interest, compounded annually. If the loan is paid in full at the the end of hat period how much must be paid back?
Answers
Answer:
70,438.20
Step-by-step explanation:
To calculate the future value you use the following formula
FV=PV(1+i)^n
Plug in our numbers and get
FV=42000(1+.09)^6
42000*1.09^6=70,438.20
I need help on the Math HW. I don’t get how to get the answers.
Answers
Answer:
1
A= 34
B= 112
C= 34
Step-by-step explanation:
A and C are vertical angles so would have the same angle degree. The 112 and B are same side interior angles so have the same degree
A and 112 are opposite interior angles so they have to add up to 180.
So 180-112=68
then 68 divided by 2 to get both A and C
hope that made sense
HELP PLEASE
Ben is 9 years younger than his brother Jeff. in 10 years, the sum of their ages will be 67 how old are they now
Answers
Ten years later, Jeff would be x + 10 years old and Ben would be (x - 9) + 10 years old.
x + 10 + (x - 9) + 10 = 67
2x + 11 = 67
2x = 56
x = 28
Jeff is 28 right now and Ben is 19 right now.
Let Jeff's age = x and Ben's age = x - 9.
(x + 10) + (x -9 + 10) = 67
x + 10 + x + 1 = 67
2x + 11 = 67
2x = 56
x = 28
x - 9 = 28 - 9 = 19
Jeff is 28 years old, and Ben is 19 years old.
How is 7/8 expressed as a percent
Answers
Answer:
Therefore, 7/8 is equal to 87.5 percentage
Step-by-step explanation: brainliest?
ASAP AND WILL GIVE BRAINLIEST
What is the range of the function y = e4*?
O y <0
O y > 0
O y <4
O y > 4
Answers
Answer:
y > 0
Step-by-step explanation:
\(y = e^{4x}\)
This is an exponential function;
Consider as x → ∞, y → ∞;
If x = 0. y = e⁰ = 1;
As x → -∞, y → 0;
y ranges from 0 to ∞ therefore, i.e. y > 0
A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving what is the rate in miles per gallon ?
Answers
Answer:
26 gallons
Step-by-step explanation:
Take the miles and divide by the gallons
455 miles / 17.5 gallons
26 miles per gallon
HELP
ILL GIVE BRAINLIEST
Answers
Answer:
The grive is the way wich would be x
hope this helps
Step-by-step explanation:
So i would choose the second box and I BETTER GET BRAINLEIST
F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)
Answers
Given:
The function are:
\(f(x)=2x^3+5x^2-6x-7\)
\(g(x)=2x-3\)
To find:
The function (f-g)(x).
Solution:
We have,
\(f(x)=2x^3+5x^2-6x-7\)
\(g(x)=2x-3\)
We need find (f-g)(x).
\((f-g)(x)=f(x)-g(x)\)
\((f-g)(x)=2x^3+5x^2-6x-7-(2x-3)\)
\((f-g)(x)=2x^3+5x^2-6x-7-2x+3\)
On combining like terms, we get
\((f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)\)
\((f-g)(x)=2x^3+5x^2-8x-4\)
Therefore, the correct option is B.
Use
x
for your variable
The sum of a number increased by nine and the number decreased by two.
Answers
The answer is \((x+9)+(x-2)\) .
A variable is a symbol used to represent a number in an expression or equation. The value of this number is subject to change. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.We have given two statements one is " number increased by nine "
Let the number be x .
Mathematically , first statement is represented by
x + 9
Second statement is " number decreased by two "
Mathematically , second statement is represented by
x - 2
According to the question
Sum of first and second statement = \((x+9)+(x-2)\)
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Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is
Answers
The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.
Let's see how to calculate Mean, Median, Mode and Midrange.
Mean = 13 + 15 + 18 + 18 + 21 / 5
Mean = 85 / 5
Mean = 17
Median = 18 (as it is the middle term of the data)
Mode = 18 (as it is most recurring number)
Midrange = 21 + 13 / 2
Midrange = 34 / 2
Midrange = 17
Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.
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!!!PLEASE HELP!!!
A company pays sales staff a monthly commission of 4% on the first $15,000 of sales, 6% on the next
$20,000 of sales and 7.5% on all sales above $35,000. What amount would Tony Smith earn if his sales
for a month were $43,000?
Answers
Given x and y are integers, explain why the product of the expression and it's conjunct will always be an integer
Answers
Answer:
If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.
Step-by-step explanation:
WILL GIVE BRILLIANT
Which of the following is not true of a trapezoid that has been reflected across the x-axis?
A
The x-coordinates of the new trapezoid are the same as the x-coordinates of the
original trapezoid.
B
The new trapezoid is the same size as the original trapezoid.
C
The new trapezoid is the same shape as the original trapezoid.
D
The new trapezoid is in the same orientation as the original trapezoid.
Answers
Answer:
D
Step-by-step:
The y-coordinates will change, not the x. Size and shape will also remain the same.
Simplify the product using the distributive property
(3h - 5)(5h + 4)
Answers
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
Answers
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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42 7th grade students made honor roll which is 40% of the total number of students. How many students are there total?
Answers
The total of 24 and a number x
Answers
Answer:4
Step-by-step explanation:
Jhon walks at 5 km in10 min if Jhon walk's 2.5 km at the same speed, what is the best estimate of the time this will make
Answers
Answer:
5 min
Step-by-step explanation:
Finding the speed
Distance/Time5 km / 10 min0.5 km/minTime taken to walk 2.5 km
Distance/Speed2.5 km / 0.5 km/min5 minFind the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Yushio is borrowing $3,525 from Houghtonville National Bank for 2 years at 12.6%
simple interest. How much will he need to repay the loan?
Answers
Answer:
3000
Step-by-step explanation:
Answer:
Answer:
$1,392
Step-by-step explanation:
1,200(0.08)(2) = 192
1,200 + 192 = $1,392
Step-by-step explanation:
Simplify 10^9 ÷ 10^7
Answers
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
1.Which of the following statements is true for the expression 2w3 + 7w2 - 4w?
A. The power of the expression is
B. A factor of the expression is -4w.
C. The coefficient of the expression is w.
D. The expression has 3 terms.
Answers
Answer: D
Step-by-step explanation:
The given expression is 2w3 + 7w2 - 4w.
The power of the expression is the highest exponent of the variable w, which is 3. However, this is not one of the options given.
A factor of the expression is a term or expression that divides the given expression completely. -4w is not a factor of the given expression.
The coefficient of a term is the numerical factor that is multiplied by the variable. The coefficient of the first term 2w3 is 2, and the coefficient of the second term 7w2 is 7. The coefficient of the last term -4w is -4. Therefore, the statement "The coefficient of the expression is w" is false.
The given expression has three terms: 2w3, 7w2, and -4w. Therefore, the statement "The expression has 3 terms" is true.
everyone have a great day & take care
Marvin bought a 1965 Ford Mustang for $8,000. After he purchased the car, its value increases by 5% each year. Write an equation to find y, the value of the car x years after it was purchased and use the equation to answer the following questions. If you wanted to graph the equation you wrote, what will the y-intercept be
Answers
5% of 8000 is 400 so add an additional 400 every year to find its value (y)
show that the volume of the unit cube is one
Answers
Check the picture below.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.