It says round all calculations to one decimal point
Pls show workings it due in a hour
Answers
Answer:
[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]
Step-by-step explanation:
The distance between two coordinates is given by:
[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.
The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:
[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]
The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:
[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]
[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
Therefore, the total perimeter of the triangle is:
[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].
Related Questions
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answers
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer
Answers
Answer:
75 Miles
Step-by-step explanation:
By leading figure estimation, approximate the value of 5 850÷22
Answers
Walter took a total of 16 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total?
Answers
Answer:
32 quizzes
Step-by-step explanation:
It is given that,
Walter took a total of 16 quizzes over the course of 2 weeks.
16 quizzes = 2 weeks
⇒ 1 weeks = 8 quizzes
We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.
⇒ 4 weeks = 4 × 8 quizzes
= 32 quizzes
So, 32 quizzes will Walter have taken in total.
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answers
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
please help me it's in like 10 minutes..................
Answers
Answer:
The annual interest rate is 12.05%
Step-by-step explanation:
Simplify.
(x2+x−1)+(2x2−3x+9)
Answers
Answer:
32−2+8
Step-by-step explanation:
Eliminate redundant parentheses
thats the answer simplified
Simplify the expression so there’s only one positive power for the base, -5.
Answers
Given:
The expression is
[tex](-5)^7\div (-5)^2[/tex]
To find:
The simplified form of the given expression so there is only one positive power for the baser -5.
Solution:
We have,
[tex](-5)^7\div (-5)^2[/tex]
[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]
Using the properties of exponents, the given expression can be written as
[tex]=(-5)^{7-2}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]=(-5)^{5}[/tex]
Here, the base is -5 and the exponent is 5.
Therefore, the correct option is C.
In 1989, a baseball card was purchased for $6. Today, the value of the baseball card has increased by 425%. What is the current value of the baseball card?
Answers
Answer: $31.50
Step-by-step explanation:
We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.
The current value of the baseball card would be:
= $6 + (425% × $6)
= $6 + (425/100 × $6)
= $6 + (4.25 × $6)
= $6 + $25.5
= $31.50
write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answers
Answer:
y = (1/3)x - 4
Step-by-step explanation:
Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.
Start with the general slope-intercept form y = mx + b.
Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or
-2 = 2 + b. Thus, b = -4, and the desired equation is
y = (1/3)x - 4
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.
Answers
Answer:
Step-by-step explanation:
Please help!!!! Needs to be answered soon!
Answers
Answer:
This is NOT a graph :)
Step-by-step explanation:
February 29th is on Sunday. on what day will the next February 29th be?
Answers
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
Geometry work pls help
Answers
Answer:
true
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
THE FIGURE HAS PARALLEL LINES.
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
Answers
1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15
O Function
O Not a Function
O both
Answers
Answer:
Function
Step-by-step explanation:
These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.
How is the general shape of a cube root function different from the shape of a square root function?
Answers
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
See :
The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.
What is the cube root function?A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.
A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.
In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
the product of 25/-15 x 9 is
Answers
Step-by-step explanation:
25/-15×9
The answer is -15
Can someone help me on this
Answers
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.
-5 + 3d + 6 - 4d. in simplest form
Answers
Answer:
1-1d
Step-by-step explanation:
i think that is the answer
Answer:
-1-d
Step-by-step explanation:
If x = 3 and y = 8 , evaluate the following expression: y − x
Answers
Answer:
5
Step-by-step explanation:
y-x
8-5 = 5
The value of the expression y - x is 5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
y - x
The value of y - x when x = 3 and y = 8.
= y - x
= 8 - 3
= 5
Thus,
The value of the expression is 5.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
the value of y is four less than one-third of x. what is the equation of the relationship
Answers
Answer:
y=1/3x-4
Step-by-step explanation:
Answer:
y=1/3x-4
Step-by-step explanation:
4 is negative cause it says less than..
Evaluate the power
(17) 2=____
If your answer is a fraction use the / as the fraction bar. NO SPACES
Answers
Answer:
289
Step-by-step explanation:
Raise 17 to the power of 2
Is this what you are asking for
Raise 17 to the power of 2
IS 3.
3y-2x
loss
Percentage loss =
X 100%.
selling price
is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%
Answers
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
please help with thisss
Answers
Answer:
11, 17
Step-by-step explanation:
The difference between -7 and -1 is +6, and -1 and 5 is +6 as well. So 5+6 = 11
and 11 + 6 = 17
Which row in the table is closest to the actual solution?
Var +3
+2
0
2
2.7321
L79
0.1
20196
02
2.8139
2.0385
03
1.897
20566
0
1.9494
2011
05
2
2.0909
0.6
20194
21071
0.7
2.0976
21208
21379
0.8
21418
21909
21595
1.0
2.2361
2.1667
Answers
Answer:
0.8= 2.1448=2.1379
Step-by-step explanation:
Answer:
0.8/2.1448/2.1379
Step-by-step explanation:
I got right(Plato/Edmentum
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answers
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answers
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36
A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth (radius 3950 miles).
WILL MARK BRAINLIEST
Answers
9514 1404 393
Answer:
The central angle is about 8.7°.
Step-by-step explanation:
The relation between angle and arc length is ...
s = rθ
where r is the radius, and θ is the central angle in radians.
600 = 3950·θ
θ = 600/3950 radians = (12/79)(180°/π)
θ ≈ 8.7°
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isabelrainbow ur the best person in the world tysm i will remember u when i fail i swear :) jk UR THE BEST THO TYSM
Answers
YOU WILL NOT FAIL, YOU SHALL PASS
Answer: w^6/9
Step-by-step explanation:
first, i evaluated the powers.
3^-2 x 1 x 1/w^-6
then, i calculated those products.
3^-2/w^-6
then, i just expressed it with a positive exponent.
w^6/3^2
finally, i evaluated that.
w^6/9
