Triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.
What is a Right Triangle?A right triangle is a triangle, whose set of sides are Pythagorean triple, that is, the square of the longest side equals the sum of the square of the other shorter sides.
Find the lengths of the sides of triangle JKL given:
J(2, 2)
K(-1, 3)
L(-2, -1)
Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], we have:
JK = √[(−1−2)² + (3−2)²]
JK = √10
KL = √[(−1−(−2))² + (3−(−1))²]
KL = √17
JL = √[(2−(−2))²+(2−(−1))²]
JL = √25
JL = 5
JL is the longest side. If triangle JKL is a right triangle, then, JL² = JK² + KL²
Plug in the values to confirm
5² = (√10)² + (√17)²
25 = 10 + 17
25 ≠ 27 (Not true)
Therefore, triangle JKL is not a right triangle because its side lengths are not a Pythagorean triple.
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Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD
Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:
C. c.
What is the area of a triangle?The area of a triangle of base b and height h is given by:
A = 0.5bh.
Item a:
We have that b = 40, h = 35, hence the area in miles squared is given by:
A = 0.5 x 40 x 35 = 700.
The density is the number of animals divided by the area, hence:
D = 42500/700 = 60.7.
Item b:
We have that b = 38, h = 25, hence the area in miles squared is given by:
A = 0.5 x 38 x 50 = 950.
Then, the density is:
D = 60800/950 = 64.
Item c:
We have that b = 42, h = 49, hence the area in miles squared is given by:
A = 0.5 x 42 x 49 = 1029.
Then, the density is:
D = 57300/1029 = 55.7.
Hence option C is correct.
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Answer:
C.C-57,300
Step-by-step explanation:
I need help ASAP or im going to fail
Answer:
45
Step-by-step explanation:
Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.
Also given that:
Student tickets: $6
Non-Student tickets : $12
Parking : $9
Thus,
Non- Student tickets:$ 12 (Parents and grandmother are not students)
Parking: $9 ( Since they attend a soccer game they need somewhere to park)
Parents = 2 person (Mom and Dad)
Grandmother = 1 person
1 + 2 = 3
Now,
Since Non-student tickets = $12
3 * 12 +9
36 + 9
45
Hence, the family spend $45 to attend the game.
~lenvy~
pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.
Answer:
7v and 4v are like terms, 9u is a term, and 5 is a constant.
Step-by-step explanation:
Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.
A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!
Answer: 48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Answer: the answer is 48.8
30 divided by 14 written as a fraction
Answer:
I believe your answer is 15/7
Let's solve.
[tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]
Hope that helps!
Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.
Answer:
750
Step-by-step explanation:
I multiplied the hours she worked by the amount of payment per hour.
Answer:
$750
Step-by-step explanation:
Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:
[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]
From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:
[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]
Then evaluate 18.75 * 40 and therefore the solution is $750
For usage of formula:
P = RH for P = pay, H = hour and R = rate (pay per hour)
So if you use the formula, you’d still end up with P = 18.75*40 which is $750
Please help me!
I’ll give 20 points
Answer:
Both answer is C
Step-by-step explanation:
30:20
3:2
Thus, (24/3)×2
=16 inch
Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure
Solve for X
Pls give your working out as well x
[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written as a function
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \rm \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8
a. Addition
b. Substitution
c. Graphing
The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5
Answer:
The answer is 0.0026
Step-by-step explanation:
0.00032 x 5200000 = 1664
1664 divided by 640000 is 0.0026
Solve 3x+1=15 for using the change base formula
Answer:
Step-by-step explanation: X = 4/3 or X= 1.3
3x + 1 = 5
3x = 5 - 1
3x = 4
X= 4/3 or X= 1.3
Please help me solve these problems
From the dots the parabola’s are the same size just transitioned to different locations.
blue = y = x^2 + 3
Green = y = (x-4)^2
Orange = y = x^2 - 3
Purple = y = (x+4)^2
Compare the integers.
-14
-23
A)
B)
> Greater than
O
= Equal to
D
Neither
Answer:
-14 > -23
Step-by-step explanation:
-14 is greater than -23 since it is closer to 0 than -23.
hope this helps!! p.s. i really need brainliest :)
can i get the answer with work?
Answer:
Step-by-step explanation:
D
Answer: 15
Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15 = 9 gamesSo prediction for whole season = 6+9 = 15 games.
Step-by-step explanation:
What type of association is shown by the scatterplot?
Answer:
Positive
Step-by-step explanation:
The graph goes up (puff puff positive)
What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young
Answer:
C
Step-by-step explanation:
The poem itself, which is a funny description of sports.
Answer: C) the peom itself which is funny description of sports.
Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
I don’t get it
Step-by-step explanation:
I think it is 5
its 54 also for some reason my comment keeps getting deleted for saying 54??
You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$
Step-by-step explanation:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
Which expression does this power represent?
10^8
10 × 8
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8
8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8
Answer:
10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Step-by-step explanation:
Because it is to the 8th power, this means it's multiplied by itself 8 times.
Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Step-by-step explanation:
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answer:
yes
Step-by-step explanation:
A right triangle means that
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]
, which means that it follows the rules of the formula, making it a right triangle.
If this answer helped you I would appreciate it if you gave me brainliest :D
Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.
The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
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The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.
Find midpoint coordinates:
[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]
[tex]\hookrightarrow \sf (1, \ 3)[/tex]
Find the gradient of MN:
[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]
[tex]\dashrightarrow \sf -2[/tex]
slope of perpendicular bisector:
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
Equation:
[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Answer:
[tex]y=\dfrac12x+\dfrac52[/tex]
Step-by-step explanation:
M = (-1, 7)
N = (3, -1)
[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line perpendicular to MN is:
[tex]\sf \implies -2 \times m=-1[/tex]
[tex]\sf \implies m=\dfrac12[/tex]
If the line bisects the line MN, it will intersect it at the midpoint of MN:
[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]
Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=\dfrac12(x-1)[/tex]
[tex]\implies y=\dfrac12x+\dfrac52[/tex]
A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?
Answer:
a. 2144.66 cubic inches
b.1072.33 cubic inches.
c. 16 inches
Step-by-step explanation:
hello, to answer this question we have to calculate the volume of sphere:
Volume of sphere: 4/3 π r³
Since diameter (d) = 2 radius (r)
Replacing with the value given:
16 =2r
16/2=r
r= 8 in
Back with the volume formula:
V = 4/3 π r³
V =4/3 π (8)³
V = 2144.66 cubic inches
The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.
2144.66/2 = 1072.33 cubic inches.
To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33
1072.33 = 4/3 π r³
Solving for r
1072.33 / (4/3 π)= r³
256= r³
16 = r
r = 16 inches
A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?
How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4
Answer:
A.2
Step-by-step explanation:
x² = 16
take the square root of both sides
x = ±4
there are 2 solutions to the equations, those 2 solutions being 4 and -4
just to double check
4² = 4 × 4 = 16
-4² = -4 × -4 = 16
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?
500 miles/ 25 = 20 x 0.50 = $10
He will save a total of $10
20-4 = $16
it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.
How many positive integers are factors of 55^3 + 66^3?
Answer:
10
Step-by-step explanation:
55³ + 66³ =
= (5 × 11)³ + (2 × 3 × 11)³
= 5³ × 11³ + 2³ × 3³ × 11³
= 11³(5³ + 2³ × 3³)
= 11³ × 341
= 11³ × 11 × 31
= 11^4 × 31
The factors are:
1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31
The factors are:
1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871
Answer: 10
What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3
Answer:
-27.3 is the ans without decimal its -27-1/3
Answer:
-49 and 1/3
Step-by-step explanation:
− (-4 x -6) − (10 + 15) − 1/3
− (24) − (25) − 1/3
− 24 − 25 − 1/3
−49 − 1/3
-49 and 1/3
BRAINLIEST please if this helped!