Answers
Answer:
The length of the three sides [tex]5, \sqrt{58} , \sqrt{65}[/tex]
The triangle is not a right triangle
Step-by-step explanation:
A = (3, 2) , B = ( 6, 9) , C = (10, 6)
Find the lengths using distance formula.
[tex]distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]AB = \sqrt{(6-3)^2 + (9-2)^2} = \sqrt{9 + 49 } = \sqrt{58}[/tex]
[tex]BC = \sqrt{(10-6)^2 + (6-9)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]
[tex]AC = \sqrt{(3-10)^2+(2-6)^2} = \sqrt{49 + 16} = \sqrt{65}[/tex]
Using Pythagoras theorem :
[tex](Longer \ side)^2 = sum \ of \ square \ of \ two \ other \ sides[/tex]
Longest side is AC . So we will check if it satisfies Pythagoras theorem :
[tex]\sqrt{65} = \sqrt{58} + 5^2\\65 = 58 + 25\\[/tex]
65 ≠ 58 + 25
So the sides does not satisfy Pythagoras theorem. Hence the triangle is not a right triangle.
Related Questions
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Answers
Solution :
The expected matrix is :
[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex] Honors Regular General
6 th grade 33.0986 46.0070 14.8944
7 th grade 34.8592 48.4542 15.6866
8 th grade 32.0423 44.5387 14.4190
Thus we can say that the level of math is not dependent on the grade level.
Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419
[tex]H_0[/tex] : The level of math is independent of the grade level.
[tex]H_1[/tex] : The level of math is dependent on the grade level.
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answers
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
(0.30,0.42)
(0.20,0.52)
(0.24,0.48)
(0.22,0.50)
Answers
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the sample proportion is = 0.36
Number of trials required for determining the margin of the error = 100
Sample size, n = 50
The point estimate = 0.36
The minimum sample proportion form the simulation = 0.28
The maximum sample proportion from the simulation = 0.40
Also the margin of the error of population proportion is found by using the half of the range.
Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)
Graph the line with slope - 1 passing through the point (-3, 3).
Answers
Answer:
Y=-x
Step-by-step explanation:
Y=mx+c
y=3, x= -3, m=-1
(-1)(-3)=3
3-3=0
S0,
c=0
y=-x
Answer:
This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!
Step-by-step explanation:
Using the quadratic formula to solve x2 = 5 – X, what are the values of x? -1 + 21 2 -12/19/ 2 5+21 2 1+ 191 2
Answers
Answer:
[tex] {x}^{2} = 5 - x \\ { \tt{ {x}^{2} + x - 5 = 0 }} \\ \\ { \bf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 1± \sqrt{21} }{2} }} \\[/tex]
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Answers
8.75meters x 7mins= 61.25 meters
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
AD=3, BD=5, AE=4. Find CE
Answers
Answer:
6.6
Step-by-step explanation:
Triangles ADE and ABC are similar.
Therefore,
AD/AB=AE/AC
3/8=4/AC
3AC=32
AC=10.6(3 s.f)
CE=10.6-4=6.6
The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?
Answers
Answer:
well, just put in 10 instead of n, after all we want the 10th, not the n'th
3*10 -1 = 29
simple as that.
hope it helps you. if you got further questions just put them in a comment:)
A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.
Answers
Answer:
36
Step-by-step explanation:
Frank earns 56,600$ one year and receives a 9 % raise in salary. What is his new salary?
Answers
Answer:
His new salary would be $61,694
Step-by-step explanation:
Ravi bought a pack of 30 biscuits. He ate a fifth of them on Thursday.He ate a third of the remaining biscuits on Friday How Many biscuits did he have left?
Answers
Answer:
if I'm not mistaking (please correct if I'm wrong) but I think he would have 16 left.
Step-by-step explanation:
you have to divide one-fifth of 30 which would get you 6, then divide one-third of 24 ( because 30 - 6 is 24) then total both fractions to get 14. then finally subtract 14 from 30 to get 16.
Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?
Answers
Answer:
625 miles
Step-by-step explanation:
250/4=62.5
62.5*10 = 625
Answer:
Below.
Step-by-step explanation:
There are 6 * 10 minutes in 1 hour and 4*6 = 24 10minutes in 4 hours.
So in 10 minutes she travels 250 / 24
= 10.417 miles to nearest thousandth.
solve for x to the nearest tenth y completing the square: x^2-5x+7=0
Answers
Answer:
does not have a solution because √-0.75 ≠ R
Step-by-step explanation:
x^2 - 5x + (5/2)^2 = -7
x^2 - 5x + 6.25 = -7 + 6.25
(x - 2.5)^2 = -0.75
(x - 2.5) = √-0.75
does not have a solution because √-0.75 ≠ R
Answer:
x = (1/2)(5 ± i√3)
Step-by-step explanation:
x² - 5x + 7 = 0
subtract 7 from both sides
x² - 5x = -7
Use half the x coefficent, -5/2, as the complete the square term
(x - 5/2)² = -7 + (-5/2)²
(x - 5/2)² = -7 + 25/4
(x - 5/2)² = -3/4
Take the square root of both sides
x - 5/2 = ±(√-3) / 2
x - 5/2 = ±(i√3) / 2
Add 5/2 to both sides
x = 5/2 ± (i√3) / 2
factor out 1/2
x = (1/2)(5 ± i√3)
50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers
Answers
Answer:
15/2 = 7 1/2
Step-by-step explanation:
3 1/3 * 2 1/4 =
= (3 * 3 + 1)/3 * (2 * 4 + 1)/4
= 10/3 * 9/4
= 90/12
= 45/6
= 15/2
= 7 1/2
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4
Answers
Answer:
I think the answer is option B
Answer:
I think it is (b
Step-by-step explanation:
if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change
A. 25% DECREASE
B. 5% DECREASE
C 25% INCREASE
D 5% INCREASE
Answers
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answers
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
The shape of a carpet is a semicircle. Use 22 7 as an approximation for π. a) Find its area. b) Janice wants to put a fringed border on all sides of the carpet. How many feet of fringe are needed?
Answers
Answer:
Step-by-step explanation:
The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
given that,
The shape of a carpet is a semicircle.
from the given diagram, we get, the diameter = 14ft
now, we know that,
area of the semicircle = πr²/2
here, we have,
diameter = 14 ft
so, radius = 14/2 = 7 ft
so, area = π*7²
= 153.94
a.) so, area of the semicircle = 76.97 ft^2
again,
b) Janice wants to put a fringed border on all sides of the carpet,
so, the perimeter = π r + d
= 36ft
Hence, The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
Find the solution of the system of equations.
6x+2y = 16
20 - 2 = 32
HELP PLSSSS
Answers
Pls Help I'm really really stumped.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The graph shown with your problem statement does not pass the vertical line test, so is not the graph of a function. (A vertical line intersects the graph in more than one place.) This graph can be rejected immediately.
I find it convenient to look at the domain statements (x≤1 and x>1). This tells you that you can separately evaluate the graph to the left of x=1 and to the right of x=1. Each of those portions of the graph must match the corresponding expression.
Here, it looks sufficient to identify the slope of the line in each domain. (We don't know what graphs you're selecting from, so we don't know what you will need to look at to differentiate the correct one from the rest.)
For x < 1, the coefficient of x is 3, so the line will have a steep upward slope.
For x > 1, the coefficient of x is -2, so the line will have a slightly less steep downward slope.
The value of z(1) is 3(1)-2=1, so (1, 1) is at the top end of the line forming the left side of the graph. The limit as x approaches 1 from the right is -2(1)+3=1. This means the two lines meet at the point (1, 1) and the graph has a generally ∧ shape. The attachment shows the graph you're looking for.
please help! (listing BRAINLIST and giving points) :D
Answers
X = 122 degree
Find the value of x to the nearest tenth. 2 4 x 8
Answers
192 because if you put 24 into 8 groups there are 192
What is the value of x? 63, 42, 50
Answers
Answer:
Step-by-step explanation:
Kelly collected $15, $15, $25, and $29 in the last four donations. What is the
mode of these donations?
A. $15
B.$20
C. No mode
Answers
Step-by-step explanation:
15 may be
HOPE IT HELP U ...
Answer:
A. $15 is the mode.
Step-by-step explanation:
In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.
PLEASE HELP FAST!!!!!
Answers
BAnswer:
Step-by-step explanation:
Find the length of the arc
in terms of pi.
A
90°
B AB = [?]π
C
10
Hint: The arc is only part of the circle.
Enter
Answers
Answer:
5pi
is answer
Step-by-step explanation:
hear is your answer in attachment
For any exponential function of the form f(x) = a · b^x where b≠0, what is the y-intercept of the graph of f(x)?
(0,a)
(1,0)
(a,0)
(0,1)
Answers
Answer:
1) (0,a)
Step-by-step explanation:
f(0) = a. b^0 = a. 1 = a
=> (0,a)
Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answers
Answer:
Yes , and u can learn a lot just by answering an asking questions
What is an equation that is true for all values of the variable
Answers
Answer:
x=x
Step-by-step explanation:
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
Answers
Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2
Add them all up together:
36 + 12 + 60 + 24 = 132 units2
Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)
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-SpaceMarsh
