Given:
The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).
To find:
The length of EF and plot each point on a coordinate plane and connect them.
Solution:
Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.
From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is
[tex]D=\sqrt{(-2-(-4))^2+(6-6)^2}[/tex]
[tex]D=\sqrt{(-2+4)^2+(0)^2}[/tex]
[tex]D=\sqrt{(2)^2+0}[/tex]
[tex]D=2[/tex]
Therefore, the length of EF is 2 units.
The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round the nearest tenth.
Answer:
The basketball volume is 1135.2 in³ greater than the soccer ball volume.
Step-by-step explanation:
Basketball volume is V = (4/3)πr³, or V = (4/3)(3.14)(10 in)³ = 4188.79 in³
Soccer ball volume is V = (4/3)πr³, or V = (4/3)(3.14)(9 in)³ = 3053.63 in³
Subtract the smaller from the larger to determine how much greater the large ball volume is:
4188.79 in³ - 3055.63 in³ = 1135.2 in³
Answer:
1135.2
Step-by-step explanation:
1135.2
please answer and explain if you can
Answer:
no s e
s
Step-by-step explanation:
Answer:
its b and i don't know if you can see the screenshot
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND A HEART AND 5 STARS!!!
Answer:
A) 180 square feet.
Step-by-step explanation:
The two rectangles are congruent, therefore having the same area.
The area of a rectangle, or any quadrilateral for that matter, is Length x Width.
12 * 4 = 48
There are two, so multiply this number by 2 and you get 96.
The formula for a trapezoid's area is height * 1/2 * (base 1 + base 2)
The height given is 6 feet. The 1st base is 10 feet, and the longer base is 10 + 4 + 4, this equals 18
The formula is now
[tex]6 * \frac{1}{2} (18 + 10)\\6 * \frac{1}{2} (28)\\6* 14\\=84[/tex]
Now in total, 84 + 96 = 180.
B is not the answer, A is.
Please Help!!
I don't understand.
. Why do you add 6 + 4 rs
Please help!!!!!!!!!!!!!!!!!!!!
Answer:
b is 100
Step-by-step explanation:
Answer:
Average is 100
Median is 87.5
Step-by-step explanation:
For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.
For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.
Este curso nuestro instituto tiene 473 alumnos. Si nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %, ¿cuántos alumnos había el curso anterior?
Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
En el curso anterior había 430 alumnos.
What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and____because each distance from zero is 8.5.
Answer:
Basic Of Algebra. Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. This introduces an important algebraic concept known as equations .
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Its 268.08 hope this helps
Step-by-step explanation:
The correct answer and volume to this is 268.08 CM
The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp
Which option shows the following fractions written with a common
denominator?
2/7 and 4/6
Answer:
4/6
Step-by-step explanation:
because 2 can go twice to 4 and three to 6
I don’t understand this problem
Answer: 20
Step-by-step explanation:
a^2=b^2 - c^2. i think i could be wrong
10x + 5y = -5 and y= -2x + 6
slope 1st line
slope 2nd line
Type of Lines
Answer:
-2 , -2, parallel
Step-by-step explanation:
same slope, different y intercept, parallel
The arc measure of AB is 74, what is the arc measure of CD?
PLEASE HELP!!!!! 50 POINTS!!!! REAL ANSWERS ONLY!!!!!! PLEASE HELP!!!!!! I NEED TO GET THIS DONE
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
#1
30° as opposite side is half of the hypotenuse#2
7/16 = tan xx = arctan (7/16) = 24°#3
31/50 = tan xx = arctan (31/50) = 32°#4
5/7 = cos xx = arccos (5/7) = 44°#5
4/14 = sin xx = arcsin (4/14) = 17°#6
6/7 = cos xx = arccos (6/7) = 31°#7
29/37 = tan xx = arctan (29/37) = 38°#8
43/60 = sin xx = arcsin (43/60) = 46°#9
32/44 = cos xx = arccos (32/44) = 43°Answer:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin anglesin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
Multiply (x+6) to (x^2 - 7x + 12)
Answer:
x³- x²- 30x + 72
Step-by-step explanation:
this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)
hope this helps
What is the midpoint between -9 and 15 on the number line?
12
2
3
6
Find the values of x and y so that GHJK is a dart. Be sure to show all work .
Answer:
Step-by-step explanation:
In dart, adjacent sides are equal
JK = GK
3x - 9 = x + 13 {Add 9 to both sides}
3x = x + 13 + 9
3x = x + 22 {Subtract 'x' from both sides}
3x -x = 22
2x = 22 {Divide both sides by 2}
x = 22/2
x = 11
JH = GH
9y = 5y + 8 {Subtract 5y from both sides}
9y - 5y = 8
4y = 8 {Divide both sides by 4}
y = 8/4
y = 2
No troll answers again, I just need help
Answer:
x= 16
Step-by-step explanation:
here!hope this helps
Answer:
10[tex]\sqrt{3}[/tex], or 17.32050
Step-by-step explanation:
You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?
Watch rep
Jayden invested $1,500 in an account in the year 2005, and the value has been
growing exponentially at a constant rate. The value of the account reached $1, 800 in
the year 2011. Determine the value of the account, to the nearest dollar, in the year
2019.
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AnCTOR
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Something happened when you copy and pasted the question, was it important to the question?
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
Write the equation for a line in Slope-Intercept Form (y = mx +b) given the two points below (2,10) (3,-5)
Given:
The two end points of a line are (2,10) and (3,-5).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is the y-intercept.
The two end points of a line are (2,10) and (3,-5). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-10=\dfrac{-5-10}{3-2}(x-2)[/tex]
[tex]y-10=\dfrac{-15}{1}(x-2)[/tex]
[tex]y-10=-15(x-2)[/tex]
On further simplification, we get
[tex]y-10=-15x+30[/tex]
[tex]y=-15x+30+10[/tex]
[tex]y=-15x+40[/tex]
Therefore, the slope intercept form of the given line is [tex]y=-15x+40[/tex].
Which choice is equal to the expression shown?
6a + 3a + 8b+ a - 56
A.
зь + ба
B.
3b + 9a
C.
3b + 10a
D.
13b + 9a
Answer: C
Step-by-step explanation:
Which number
is two less than
one million?
Answer:
999,998
Step-by-step explanation:
In a mathematics class, half of the students scored 55 on an achievement test. With the exception of a few students who scored 72, the remaining students scored 60. Which of the following statements is true about the distribution of scores?
A. The mean and the median are the same.
B. The mean is greater than the median.
C. The mean is less than the mode.
D. The mean is less than the median.
Answer: B
Step-by-step explanation: Trust me
Mean (Average) 62.333333333333
Median 60
oWhat can I say execpt your welcome
The mean is greater than the median.
Option (B) is correct.
To find the statements is true.
What is statistics?A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.
Half the students scored 55.
The next highest score is 60. So the median is (55+60) / 2 = 57.5.
A few students scored 72, so the mean is slightly greater than the mean of 55 and 60.
Therefore, the mean is greater than the median.
Learn more about statistics here:
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if y=3 sin (-4x), find dy/dx
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, y = 3 sin(-4x), we use the chain rule here.
dy/dx =3 ( cos(-4x).-4)
====> dy/dx = -12 cos(-4x)
help pls fast ok ty yh
Answer:
the first circle 75
Step-by-step explanation:
hope it helps
Answer:
The answer is 75
Step-by-step explanation:
Hope it's helps you :)
How are you really? 100 points, Be honest.
Answer:
Why are you wasting your points? LOL XD
Step-by-step explanation:
Answer:
Good
Step-by-step explanation:
Solve the system using a matrix.
2x – 4y + 2z = 16
-2x + 5y + 2z = -34
x – 2y + 2z = 4
([?],[],[]
ordered triple
Answer:
using Gaussian elimination method of matrix