Answers
[tex]d= \sqrt{( x_{2}- x_{1}) ^{2}+(y_{2}-y_{1})^{2} } [/tex]
And as perimeter is just the sum of length of all side, we will calculate the length of each side and then sum them up.
1. Side AB:
[tex]d_{1}= \sqrt{( 3- (-2)) ^{2}+(0-3)^{2} }[/tex]
d₁= √34
2.Side AC
[tex]d_{2}= \sqrt{( (-4)- (-2)) ^{2}+((-3)-3)^{2} }[/tex]
d₂=2√10
3.Side BC
[tex]d_{3}= \sqrt{( (-4)- 3) ^{2}+((-3)-0)^{2} [/tex]
d₃=√58
Perimeter
[tex]P= \sqrt{34}+ 2\sqrt{10} + \sqrt{58} [/tex]
P=19.77
Related Questions
Find the slope of the line
-4
-1/4
1/4
4
Answers
run = 8 (from -4 to +4)
rise = 2 (from 0 to 2)
rise 2
slope = ------- = -------- = 1/4 y-intercept is (0,1)
run 8
equation of this line is thus y = mx + b, or y = (1/4)x + 1 (answer)
The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3}
What is the ratio of their radii?
Answers
[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\ -----------------------------[/tex]
[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ %The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3} \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{8829}}\qquad \begin{cases} 8829=3\cdot 3\cdot 3\cdot 327\\ \qquad 3^3\cdot 327 \end{cases}[/tex]
[tex]\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{3^3\cdot 327}}\implies \cfrac{s}{s}=\cfrac{\underline{\sqrt[3]{327}}}{3\underline{\sqrt[3]{327}}}\implies \cfrac{s}{s}=\cfrac{1}{3}[/tex]
What is the input to a trigonometric function?
a ratio
the x position of a point on the circle
a central angle of a circle
the y position of a point on the circle
Answers
Answer: A central angle of a circle
Step-by-step explanation:
The trigonometric functions are also known as circular functions.
The two fundamental trigonometric functions are defined as the coordinates of a any point A travelling around on the unit circle of radius 1 .
The input variable in trigonometric functions is the central angle of the circle 'x' such that we get sin x and cos x which give the x and y coordinates of A.
Hence, the input to a trigonometric function is a central angle of a circle.
3 red pens, 9 blue pens, 8 green pens
What is the probability of picking a blue? In a decimal
Answers
the probability of picking a blue is 0.45.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
3 red pens, 9 blue pens, 8 green pens
now, we get,
There are a total of 20 pens.
There are 9 blue pens out of 20 total pens.
In decimal format,
i.e. 9/20
=0.45
you have a chance of 0.45 .
hence, the probability of picking a blue is 0.45.
To learn more on probability click:
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If i walk 4 miles an hour how long will it take to walk 1 mile
Answers
x= portion of 1 hour
4 miles/1 hour= 1 mile/ x hour
cross multiply
4 * x= 1 * 1
4x= 1
divide both sides by 4
x= 1/4 of an hour
To find number of minutes:
1 hour= 60 minutes
=1/4 of an hour * 60 minutes
=60/4
=15 minutes
ANSWER: It would take 1/4 of one hour ( or 15 minutes) to walk 1 mile.
Hope this helps! :)
Baby Kelsey wants to arrange 12 blocks in a row. How many different arrangements can she make?
Answers
To find the number of arrangements Baby Kelsey can make with 12 blocks, we calculate 12 factorial (12!), which equals 479,001,600. This represents the total number of unique ways to arrange the blocks in a row.
Explanation:The student has asked how many different arrangements can be made with 12 blocks in a row. To determine the number of different arrangements, we use the concept of factorial, which is represented by an exclamation mark (!). In this case, we want to find 12!, which represents the product of all positive integers from 1 to 12.
Specifically, the calculation is 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1. This multiplication results in the number of unique ways to arrange the 12 blocks since each block is distinct and can be placed in any position within the arrangement.
Therefore, there are 479,001,600 different arrangements possible when organizing 12 unique blocks in a row, showcasing the vast number of combinations for even a small number of objects.
Please help with geometry
Answers
[tex]A_\Delta=\dfrac{ah}{2}[/tex]
We have:
[tex]a=6.3cm;\ h=8cm[/tex]
therefore
[tex]A_\Delta=\dfrac{6.3\cdot8}{2}=25.2\ cm^2[/tex]
Answer: 25.2 cm².
What is the excluded value of
-2x/17
a. x=0
b. x=2
c. x=17
d. no excluded values
Answers
There is only excluded values if the variable x is in the denominator.
An equation of a function y(t) is shown. y(t)=−t2+14t−40 Which of the following statements are true about the graph of y(t) for 6≤t≤8 and WHY? a. The value of y(t) increases over the interval 6≤t≤7. b. The value of y(t) increases over the interval 7≤t≤8. c. The average rate of change over the interval 6≤t≤8 is 0. d. The value of y(t) is constant over the interval 6≤t≤8. e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8. Make sure you use complete sentences and capitalize!
Answers
Hope this helps :)
Find the volume of a right prism with height h=10 cm, if: a The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm. Help me!!!
Answers
A(triangle)=(4×3.5)/2=7cm²
V(prism)=7×10=70cm³
Hope this helped!
To find its Volume of Right prism we multiply the base of the triangle times the height and divide that by 2.Then, multiply the area times the length, or the depth, of the prism to find the volume.
Area of the equilateral triangle = [tex]\frac{1}{2}x4x3.5.[/tex]
Area of triangle = 7 square cm.
Volume of the right prism = Area of triangle x Height of prism = 7x10 =70 cubic cm.
Volume of right prism = 70 cubic cm.
Jack's father let jack use a rectangular section of the back yard that had dimensions of 10 feet by 12 feet for his garden. he wanted to put a fence around the outside of the garden. how long should the piece of fencing he needs to buy be?
Answers
A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.
Answers
r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum
Surface area, A = πr [r+ Sqrt (h^2+r^2)] = 3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2
Therefore, minimum amount of paper required is 92.95 cm^2
another geometry file upload
Answers
combining like terms 13x -8x =12 +13
5x= 25 x= 5
x=5
if f(x) = x-1 and g(x) =2x-3 find the sum, difference, product and quotient of these two functions
Answers
f (x) = x-1
g (x) = 2x-3
For the sum we have:
f (x) + g (x) = (x-1) + (2x-3)
f (x) + g (x) = 3x - 4
For subtraction we have:
f (x) - g (x) = (x-1) - (2x-3)
f (x) - g (x) = -x + 2
For the product we have:
f (x) * g (x) = (x-1) * (2x-3)
f (x) * g (x) = 2x ^ 2 - 3x - 2x + 3
f (x) * g (x) = 2x ^ 2 - 5x + 3
For the quotient we have:
f (x) / g (x) = (x-1) / (2x-3)
Which is closer to the x-axis (1.4 , 2.2) and (4.1 , 2.4) or (3.9) and (8,9) or (1 1/4 , 2) and 1 1/4 , 8)?
Answers
A package of cookies contains 6 cookies. Each package of cookies costs $1.49.
A function, f(x), is written to represent the cost of purchasing x packages of cookies.
What is the practical domain for the function f(x)?
A: all positive integers
B: all real numbers
C: all whole numbers that are multiples of 6
D: all whole numbers
Answers
Given are 6 cookies in a package.
Given that the cost of a package = 1.49 dollars.
Let's assume we purchase 'x' numbers of packages.
So, total cost of 'x' packages = '1.49x' dollars.
f(x) is the function that represents the cost of 'x' packages, i.e. f(x) = 1.49x
Since the number of packages can not be negative or can't be decimal numbers, so 'x' should be positive integral values.
So, the practical domain of f(x) would be "positive integral values".
Hence, option A is correct, i.e. "all positive integers".
A rectangular crate has the dimensions of 32.1 inches by 28.2 inches by 1 foot.What is the volume of the crate? Round your answer to the nearest tenth, if necessary
a)6.3 cubic feet
b)16. cubic feet
c)18.4 cubic feet
d)905.22 cubic feet
Answers
So the answer is D
28.2 inches = 28.2 ÷ 12 = 2.35 feet
32.1 inches = 32.1 ÷ 12 = 2.675 feet
Volume = Length x Width x Height
Volume = 2.35 x 2.675 x 1 = 6.3 ft³ (nearest tenth)
Answer: 6.3 ft³
What is the exact area of a circle with a diameter of 20 cm?
400πcm^2
10πcm^2
100πcm^2
20πcm^2
Answers
The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.
The exact area of a circle can be found using the following formula:
[tex]a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius[/tex]
In order to find our answer, we need to plug in the data from the question.
[tex]a = \pi \: \times {10}^{2} = 100\pi[/tex]
Hence, the answer is 100πcm^2.
The exact area of a circle with a diameter of 20 cm is 100π cm². This is found using the formula Area = πr², with 'r' being the radius of the circle.
Explanation:The subject of this question falls under the category of Mathematics, specifically geometry. In order to find the area of a circle, we use the formula: Area = πr², where r is the radius of the circle.
The diameter of the circle is given as 20 cm, so the radius, which is half the diameter, would be 10 cm. Substituting the radius value into the formula gives us: Area = π(10 cm)² = 100π cm². Therefore, the exact area of the circle with a diameter of 20 cm is 100π cm².
Learn more about Area of a Circle here:https://brainly.com/question/28642423
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Tammy and Wyatt are sales associates at the same used car dealership. Their supervisor is planning to promote the employee with the best sales numbers, on average. The box plots below show their sales, in thousands of dollars, for the past 2 weeks:
box plot labeled Tammy with min at 19, Q1 at 21, median at 25.5, Q3 at 26.75, max at 27.75. Box plot labeled Wyatt with min at 18.5, Q1 at 20.5, median at 24, Q3 at 27.5, max at 28.25
Who should get the promotion, and why?
A) Wyatt should get the promotion. His data is more evenly distributed, so his sales are more consistent.
B) Wyatt should get the promotion because he had the highest sales in a single day.
C) Tammy should get the promotion because her lowest value is higher than Wyatt's lowest value.
D) Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.
Answers
Answer:
Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.
The ratio of height between Joey and his girlfriend is 8:7. If Joey is 72 inches tall, how tall is his girlfriend in inches
Answers
8x is height of Joey.
8x=72
x=72/8=9
7x is height of Joey's girlfriend.
7x=7*9=63 in.
Answer: 63 in.
Multiply the ratio by 9:
Joey : Girlfriend = 8x9 : 7x9
Joey : Girlfriend = 72 : 63
Answer: His girlfriend is 63 inches tall.
[Geometry Basics] I'm just checking if this is correct:
~ Endpoint: (-9, -1), midpoint: (8,14)
Answer I got: (25, 31)
~ Endpoint: (10,12), midpoint: (6,9): (2,6)
I will give you brainiest if it's correct :) And 20 pts.
Answers
[tex]\bf -------------------------------\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ x &,& y~) % (c,d) &&(~10 &,& 12~) \end{array}\qquad \\\\\\ \left( \cfrac{10+x}{2}~~,~~\cfrac{12+y}{2} \right)=\stackrel{midpoint}{(6,9)}\implies \begin{cases} \cfrac{10+x}{2}=6\\\\ 10+x=12\\ \boxed{x=2}\\ -------\\ \cfrac{12+y}{2} =9\\\\ 12+y=18\\ \boxed{y=6} \end{cases}[/tex]
A circle is centered at (−8, −13) and has a radius of 13.
What is the equation of the circle?
Enter the equation in the box using lower case variables x and y.
Answers
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
r is the radius
so
for a circle is centered at (−8, −13) and has a radius of 13
the equation is
(x+8)²+(y+13)²=13²--------------> (x+8)²+(y+13)²=169
the answer is
(x+8)²+(y+13)²=169
(x+8)²+(y+13)²=169
Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?
(4, -2)
(4, 2)
(-2, 4)
(2, 4)
Answers
_____________
Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space, comma, space, 750, space, comma, space, 3750, comma, point, point, point.
Answers
an=ar^(n-1)
where
a=first term
n=number of terms
r=common ratio
from the sequence:
a=30
r=5
thus the explicit formula will be:
an=30(5)^(n-1)
hence the answer is:
an=30(5)^(n-1)
Answer:750+3750=4,500
Step-by-step explanation:
The median is 28; 16,24,x,48
Answers
To find the media, you take the middle number. If there is no discrete middle number, take the sum of the two closest to the middle and divide by 2.
(24 + x)/2 = 28
Multiply by 2 on both sides to get:
24 + x = 56
Subtract 24 from both sides to isolate the variable:
x = 56 - 24
x = 32
How do I find the solution for this quadratic?
Answers
Please, see the attached file.
Thanks.
What is 40.15 divided by 7.3, written as a decimal?
Answers
hope this helps!!
Final answer:
To calculate 40.15 divided by 7.3, we can use long division. The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.
Explanation:
To calculate 40.15 divided by 7.3, we can use long division.
First, we write the division problem with 40.15 as the dividend and 7.3 as the divisor:
5.5
________
7.3 | 40.15
We start by dividing 40.15 by 7.3. The quotient is 5.5.
Next, we subtract 5.5 multiplied by 7.3 from 40.15:
5.5
________
7.3 | 40.15
- 36.5
________
37.65
Since the remainder, 37.65, is greater than the divisor, 7.3, we can continue dividing.
We bring down the next digit from the dividend, which is 0, and divide it by 7.3:
5.5
________
7.3 | 40.15
- 36.5
________
4.15
3.65
We repeat the process of dividing and subtracting until the remainder is less than the divisor:
5.5
________
7.3 | 40.15
- 36.5
________
4.15
3.65
5.5
0
The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.
Chris plants a sunflower that is 6 inches tall. The sunflower is expected to grow at an average rate of 1.5 inches per day during the next month.
A. Create an equation that Chris can use to find the number of days, x, it will take the sunflower to grow to a height of 45 inches.
B. How many days will it take the sunflower to grow to a height of 45 inches?
Answers
B. We will solve the equation to find out how many days it will take to get to 45 inches.
6 + 1.5d = 45
-6 -6
1.5d = 39
1.5 1.5
d = 26
The number of days it would take is 26.
Graph the function y = 6/x . Draw a chart to show the ordered pairs that are on the graph.
Answer:
x y
-3
-2
-1
1
2
3
Answers
Answer:
see the attachment for the graph and chart
Step-by-step explanation:
A spreadsheet or graphing calculator is convenient for making a chart of ordered pairs.
9. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale
Answers
tan (theta) = C.O / C.A
Where,
theta: angle
C.O: opposite leg
C.A: adjoining catheto
Substituting values:
tan (25) = x / 5
Clearing x:
x = 5 * tan (25)
x = 2.33
Answer:
x = 2.3