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
Ben sold his small online business for $100,000. The purchaser will pay him $20,000 today, then $20,000 every year for the next four years. Assume that Ben could invest a lump-sum payment today in an account yielding an interest rate of 4% annually. Find the total present value of all five payments.
A.
$87,096
B.
$88,384
C.
$92,598
D.
$93,964
Answers
Answer:
c. 92,598
Step-by-step explanation:
20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08
= 92597.
= 92,598
Write the following percents as both fractions and decimals.
Fraction Decimal
1. 25% ? ?
2. 32.5% ? ?
3. 4% ? ?
4. 75% ? ?
5. 6.5% ? ?
6. 125% ? ?
7. 12.5% ? ?
8. 0.2% ? ?
9. 0.75% ? ?
10. 107% ? ?
11. 210% ? ?
12. 22.5% ? ?
Answers
Answer:
1/4, 0.25
13/40, 0.325
1/25, 0.04
3/4, 0.75
13/200, 0.065
1 1/4, 1.25
1/8, 0.125
1/500, 0.002
3/400, 0.0075
107/100, 1.07
21/10, 2.10
9/40, 0.225
Box Y has edges that are the length of the edges of box X
Box X
Box Y
Which statement is true?
O A. The volume of box Y is of the volume of box X
OB. The volume of box Y is
of the volume of box X
O c The volume of box Y is to of the volume of box X.
OD. The volume of box Y is of the volume of box X.
E. The volume of box Y is 256 of the volume of box X.
Answers
Answer:
The volume of box Y is 1/64 of the volume of box X
Step-by-step explanation:
Since. The edge of a box Y is 1/4 the lengtj of box X ;
The volume is 3 dimensional and each dimension of Y is 1/4th the dimension of X
The volume of Y will be (1/4)^3 the volume of Y
(1/4)^3 = 1/4 * 1/4 * 1/4 = 1/64
For instance, if edge of X = 8
Edge of Y which is 1/X ; edge Y = 1/4(8) = 2
Volume, X 8^3 = 512
Volume Y = 2^3 = 8
8/512 = 1 / 64
Two roots of a third degree polynomial function f(x) are -4 and 4. Which statement describes the number and nature of all
roots for this function?
* f(x) has three imaginary roots.
* f(x) has three real roots.
* f(x) has two real roots and two imaginary roots.
* f(x) has three real roots and one imaginary root.
Answers
Answer:
f(x) has three real roots.
Step-by-step explanation:
f(x) has three real roots.
A third degree polynomial function with real coefficients has exactly 3 roots.
Furthermore, all complex roots come in pairs, either there is none, or there are exactly two conjugates, which are in the form e1+i(e2) and e1-i(e2) where e1 and e2 are polynomial expressions.
This also means that a third degree polynomial with real coefficients has at least one real root, or three.
Since we are given two real roots for the given polynomial, the third root cannot be complex alone, so the only possibility is that there are three real roots.
If b is real, then all three roots are real.
If b is not real, then two of the roots are real (-4 and 4) and one is imaginary.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The polynomial function f(x) has degree 3 and two roots -4 and 4, we know that (x + 4) and (x - 4) are factors of the function.
To see why, note that when x = -4, the factor (x + 4) becomes zero, making the function zero.
Similarly, when x = 4, the factor (x - 4) becomes zero, making the function zero.
Now,
Since the function has degree 3 and two factors of degree 1, we can conclude that the third factor is also of degree 1.
This means that the function can be written in the form:
f(x) = a (x + 4) (x - 4) (x - b)
where a and b are constants.
We don't know the value of b, but we know that it is a real number (since the other two roots are real).
Thus, the three roots of the function are -4, 4, and b.
Now,
To determine whether the roots are all real or some are imaginary, we need to know the value of b.
If b is real, then all three roots are real.
If b is not real, then two of the roots are real (-4 and 4) and one is imaginary (b).
Thus,
If b is real, then all three roots are real.
If b is not real, then two of the roots are real (-4 and 4) and one is imaginary.
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a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the original mixture. the percent of yellow tint in the new mixture is?
Answers
10 +40=50 Total mixture, but since we had 12 liters of yellow tint + 10 new liters=22 liters of yellow tint 22/50=44% of the new mixture is yellow tint. :)
Miguel went shopping for a new phone. Sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?
Answers
Answer:
miges fue y no me compro el celu
Step-by-step explanation:
mal migel
por culpa de brailyn reverg
A variable expression cannot consist of numbers or operstions. true false
Answers
Answer:
False
Step-by-step explanation:
A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)
ASAP! see the picture please!!
Answers
Answer:
the second one
function A has a slope of 3
function B has a slope of 5
6 Factorise
x2 + 6x -7
Answers
Answer:
(x+7)(x-1)
Step-by-step explanation:
x^2 + 6x -7
so here we need two number that give 7 when multiplied and 6 when subtracted
7 and 1 are the numbers because
7*1=7 and ,
7-1=6 so,
x^2 + (7-1)x -7
x^2 +7x -x -7
take common from first two terms and from third and fourth term
x(x+7)-1(x+7)
take (x+7) as common
(x+7)(x*1 -1*1)
(x+7)(x-1)
3. Simplify, 27+3]{14-3(15-5) -53-51-19
Answers
Answer:
-4170
Step-by-step explanation:
Given:
[27+3]{14-3(15-5) -53-51-19}
30{14-3(10)-123}
30{14-30-123}
30*(-139)
-4170
Answer is -4170
- 9 times the difference between a number and 86 is equal to the number plus – 48.
Answers
Answer and Step-by-step explanation:
The equation should look like this:
-9(x - 86) = x - 48
Distribute the -9.
-9x + 774 = x - 48
Add 48 and 9x to both sides of the equation.
822 = 10x
Divide both sides of the equation by 8.
82.2 = x
[tex]\frac{411}{5}[/tex] = x -- Fraction Form
#teamtrees #PAW (Plant And Water)
Convert 6 qt/min to gallons per hour
Answers
Answer:
90
Step-by-step explanation:
See image below:)
7 degrees per millisecond converted to 7 degrees per second
Answers
Step-by-step explanation:
find the arithmetic mean of given data 12 15 18 20
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
Answers
Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North market
South market
Cherries
0.6
0.5
Asparagus
0.85
0.84
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
A. South market. There is a 0.42 probability of both cherries and
asparagus being available.
B. North market. There is a 0.3 probability of both cherries and
asparagus being available.
c. South market. There is a 0.3 probability of both cherries and
asparagus being available.
D. North market. There is a 0.51 probability of both cherries and
asparagus being available.
Answers
Answer:
D (north, .51)
Step-by-step explanation:
since the numbers are higher for north, it is the right answer.
.6*.85=.51
D. North market. There is a 0.51 probability of both cherries and asparagus being available.
What is independent events ?If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.
Now, if A and B be two events which are independent,
then P(A∩B) = P(A)×P(B)
How to find which market Elena choose to maximize her chance of buying both?In the table in given problem, the probability of cherries and asparagus are higher for north market.
For the north market,
The probability of produce cherries = P(A) = 0.6
The probability of produce asparagus = P(B) = 0.85
where A and B are the events of produce cherries and asparagus respectively.
Here, A and B are independent events.
Then probability for maximize her choice is P(A∩B) = P(A)×P(B)
= 0.6×0.85
= 0.51
∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51
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Find the volume of the prism.
Answers
Answer:
B. 864 mm³
Step-by-step explanation:
Volume = area base x height
Area base = 48
Height = 18
Multiply:
48 x 18 = 864
Units are mm³
Answer = 864 mm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The volume of the prism is 864 cubic units.
To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.
To find the volume, we multiply the area of the base by the height:
Volume = 48 x 18 = 864 cubic units.
Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).
Thus, the proper calculation yields a volume of 864 mm³.
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A rope with a length of 3.5 meters is tied from a stake in the ground to
the top of a tent. It forms a 17 degree angle with the ground. How tall
is the tent?
Answers
Answer: Approximately 1.0233 meters
Round this however you need to
====================================================
Work Shown:
Refer to the drawing below.
sin(angle) = opposite/hypotenuse
sin(17) = x/3.5
3.5*sin(17) = x
x = 3.5*sin(17)
x = 1.02330096652958
x = 1.0233
Be sure that your calculator is in degree mode.
help? i mark brainlist :)
Answers
Answer:
There are 25 students in the class.
Step-by-step explanation:
In order to find the number of students in the class, you can add the number of data points together. Because the name of each person will only be recorded once and only to one data value, that means by adding the total number of data points collected, you can find out the number of students in the sixth-grade class. There are three data points on 3, two data points on 4, five data points on 5, eight data points on 6, two data points on 7, one data point on 8, and four data points on 9, this means the total number of students will be 3 + 2 + 5 + 8 + 2 + 1 + 4 = 25 students, so this will be your answer.
Use differentials to estimate the amount of metal in a closed cylindrical can that is 10 cm high and 6 cm in diameter if the metal in the top and the bottom is 0.1 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.)
Answers
Answer:
14/5 cm3 ??
Step-by-step explanation:
I need help with #2. Please help. I have to show all work so please explain
Answers
Answer:
b = 18 in.
Step-by-step explanation:
Since the triangle given is a right triangle, we can use Pythagorean Theorem to solve for b.
[tex]a^2+b^2=c^2\\7.5^2+b^2=19.5^2\\56.25+b^2=380.25\\b^2=324\\\sqrt{b^2}=\sqrt{324}\\b=18[/tex]
Therefore, b is 18 inches.
Can someone help me with this one?
Answers
Answer:
answer is C
Step-by-step explanation:
y intercept = -3
Answer:
ejjejjeheyreyyeueuuueuuu
!uueueuueu
Step-by-step explanation:
jejjejeujejsjjdjsjjsjsjsjsjjjjejjjejejjjjejeje
Please help me I don’t understand this at all
Answers
Answer:
you see on the right where the ( - ) are put the dot at -3 which is on the line because y } -x (which means your on the negative side) + 3 is -6 so put the dot on 6
A hunter is practicing his aim using a practice target. He takes 5 shots. All 5 shots hit the target, but they do not hit or surround the bullseye. In addition, all 5 shots are very spread apart on the target. Classify the hunter's accuracy and precision.
a. High accuracy and high precision
b. High accuracy and low precision
c. Low accuracy and high precision
d. Low accuracy and low precision
Answers
Answer:
D
Step-by-step explanation:
Accuracy refers to how close measurements are to the "true" value (which is the target in this case), while precision refers to how close measurements are to each other.
Since the arrows fall away from the bullseye and are spread out I would classify this as low accuracy and low precision.
The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot. Which is the graph of y = RootIndex 3 StartRoot x minus 3 EndRoot?
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).
On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).
On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflectoin point at (0, negative 3), and goes through (8, negative 1).
Answers
Answer:
Its AAAAAAAAAAA
Step-by-step explanation:
The graph of y = RootIndex 3 StartRoot x minus 3 EndRoot the A is correct
We have given that,
The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).
What is the coordinate plane?A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called the y-axis and a horizontal line called the x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin.
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).
On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).
On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflection point at (0, negative 3), and goes through (8, negative 1).
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PLS HELP ASAP !!! PLSSS !!
Answers
Answer:
x=66 degree
Step-by-step explanation:
x+114 =180 degree (the relation between x and 11 degree is that they are same side interior angles and sum of same side interior angles is always 180 degree)
x=180-114
x=66
Answer:
X= 180-114
(Angles on a straight line adds up to 180°)
x= 66°
using factoring what is the solution to the equation 2x^2+3x-5=0
Answers
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
What is the slope of the line that contains the points (-2, 5) and (6, -3)?
Answers
Answer:
-1
Step-by-step explanation:
(-2 , 5) = (x1 , y1)
(6 , -3) = (x2 , y2)
slope of a line = y2 - y1/x2 - x1
=-3 - 5/6 - (-2)
=-8/6+2
=-8/8
=-1
therefore slope of a line is -1.
Angle A??
Ch.7.1 trig
Answers
9514 1404 393
Answer:
m∠A =86°
Step-by-step explanation:
The sum of angles in a triangle is 180°
A + B + C = 180°
A + 51° + 43° = 180°
A = 86° . . . . . . . . . . . . . subtract 94° from both sides
Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?
Answers
Answer:
The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX
Step-by-step explanation:
hope it helps
Please answer the question below 15 points for answering!
Answers
(3,0) (0,-1)
Slope= y2-y1/x2-x1
Slope= -1-0/0-3= -1/-3 = 1/3
Final answer :
Slope = 1/3
So it’s the first option :)