Is a triangle with vertices G(3, 2), H(8, 5), and K(0, 10) a right triangle? Justify your answer.
Answers
First you need to ubicate those vertices in a plane as follow:
Then you link the vertices with lines to form the triangle:
Knowing that a right triangle must have one angle of 90º
The answer is that yes, it is a right triangle because it has an angle of 90º in the vertice H(8,5)
Related Questions
-3x+14-11+11x I tried getting help with this question and it didn’t give me enough information to fully understand.
Answers
Answer:
0.375
Step-by-step explanation:
-3x+14-11+11x
-3x+11x = 8x
14-11 = 3
8x=3
÷8 on both sides
The relationship between the number of $4 lunches you buy with a $105 school lunch card and the money remaining on the card
Answers
The relationship will be a solid line.
How many $4 meals you may purchase with a $100 school lunch card and how much money is still on the card.
Given that the slope is common and linear, the connection will be a solid line. The balance on the card will drop by $5 each time you purchase lunch.
Let x be the amount of lunches you purchase.
Let the balance on the card be = y.
Equation then becomes:
y= 105-4x
when x=1
y = 105 - 4(1) = 101
when x= 2
y= 105 - 4(2) = 97
when x=3
y= 105 - 4(3) = 93
We can see that the decline is gradual and same.
On the graph that is provided, you can also observe that a straight line is created.
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the value of y is directly proportional to the value of x. when x = 20, the value of y = 16/5. the value of y is incline choice 1 when x = 50 incline choice 1:
1. 312.5
2. 1160
3. 3
4. 3200
Answers
Since y is directly proportional to x then the value of y is 8
In a proportional relationship, one variable is always equal to the constant value of the other.
The "constant of proportionality" is the name of this constant.The ratio between the constant values of two proportional quantities is known as the proportionality constant.When the ratio or product of two fluctuating values results in a constant, we say that two values are in proportion.The Direct Variation and Inverse Variation types of proportions between the two provided values determine the value of the proportionality constant.It is clear that y increases in proportion to x by applying the direct proportionality formula, y = kx.
Given y is directly proportional to x.
Therefore y = kx
now at x = 20 , y = 16/5
∴16/5 = 20 k
or, k = 16 /100
Now at x = 50 ,
Y = 16 /100 × 50
or, y = 8
Therefore that value of y is 8.
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Find the surface area and volume of the following solids , a cylinder with radius 5 m and height 0.5 m
Answers
The radius of the cylinder is 5 m and the height is 0.5 m.
Then, the total surface area is
[tex]\begin{gathered} A=2\pi r(r+h) \\ =2\pi(5)(5+0.5) \\ =55\pi\text{ squared meter} \end{gathered}[/tex]So, the surface area is
[tex]55\pi=172.79\text{ squared meter}[/tex]Now, the volume is
[tex]\begin{gathered} V=\pi(r^2)h \\ =\pi(5)^2(0.5) \\ =39.27\text{ cubic meter} \end{gathered}[/tex]So, the volume of the cylinder is 39.27 cubic meters.
Please help. quickly
Answers
The total surface area of the triangular prism is 756 meter²
Given,
A triangular prism and its net.
We have to find the surface area of the triangular prism.
First we can consider the right angled triangle.
Height = 9 meter
Base = 12 meter
Hypotenuse = 15 meter
Area of the right angled triangle = (1/2 bh)
Here,
Area = 2 × (1/2 bh) = 2 × (1/2 × 12 × 9) = 2 × 6 × 9 = 108 meter²
Now, area of right rectangle.
Area of rectangle = length × breadth
Here, the breadth of the rectangle is the height of the triangle = 9 meter
Length = 18 meter
Area = length × breadth = 9 × 18 = 162 meter²
Then, area of middle rectangle.
Length = 18 meter
Breadth = 12 meter
Area = length × breadth = 18 × 12 = 216 meter²
Next, area of left rectangle.
Length = 18 meter
Breadth = Hypotenuse of the triangle = 15 meter
Area = length × breadth = 18 × 15 = 270 meter²
Now, lets calculate the total surface area of the triangular prism.
Surface Area of triangular prism = 108 + 162 + 216 + 270 = 756 meter²
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how does x equal y in three dimesional math
Answers
Step-by-step explanation:
in 3-dimensional math we have 3 dimensions, and not just 2.
we have
forwards - backwards
left- right
up- down
so, we have there x, y and z.
and the equations typically are
z = ax + by
or even more general
cz = ax + by
or more complex functions of x and y.
z = f(x, y).
I am not sure what else you could mean with that question.
1) Work out the area and the perimeter of the shape below.
10 cm
12 cm
4 cm
Diagram NOT
accurately dr
Answers
Answer: 10 cm
Step-by-step explanation: because i am alwauys right about your mom
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer in simplest form. ( wouldn't allow me to insert full picture. will message it to you.)
Answers
To find the scale factor, we just have to divide
[tex]\frac{8}{20}=\frac{2}{5}[/tex]Hence, the scale factor is 2/5.Alex, Cameron and Sam are all taking part in a 400 m race.
They are each running at a different constant speed.
Alex is running 12% faster than Cameron, whilst Sam is running 2% slower than Cameron.
When Alex crosses the finish line, how many metres is Sam from the finish line?
Answers
Answer:
A= C + 12%C = 1.12C
S=.C -2%C = .98C
A,C and S are the speeds of Alex, Cameron and Sam
400 meter race
how far is Sam from the finish line when Alex crosses the finish line?
distance = speed times time
400 = AT where T=Alex' finish time
400=1.12T
400=CU where U = Cameron's finish time
400=SV where V = Sam's finish time
T<U<V
Alex' finish time is less than Cameron's finish time is less than Sam's finish time
if Cameron runs at 20 meters per second, finishing in 20 seconds
then Sam is about 50 meters from the finish line when Alex finishes
sorry if i´m too late, hope this helps!
A sequence is defined by f(0) = -3, f(n) = f(n-1) + 0.5 for n ≥ 1.
1.
Write the first five terms of this sequence, starting with term 0.
2.
Write the nth term definition of this sequence.
Answers
Answer:
1.
f(0) = -3
f(1) = f(0) + 0.5 = -3 + 0.5 = -2.5
f(2) = f(1) + 0.5 = -2.5 + 0.5 = -2
f(3) = f(2) + 0.5 = -2 + 0.5 = -1.5
f(4) = f(3) + 0.5 = -1.5 + 0.5 = -1
2.
f(n) = 0.5n - 3
This function is linear.
Determine whether the given function is even, odd or neither. *(1 Point)f(x) = x3 - 2x
Answers
Given:
The function is,
[tex]f(x)=x^3-2x[/tex]Replace x by -x in the given function,
[tex]\begin{gathered} f(x)=x^3-2x \\ f(-x)=(-x)^3-2(-x) \\ =-x^3+2x \\ =-(x^3-2x) \\ =-f(x) \end{gathered}[/tex]It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.
Thus, the given function is odd.
help please
What is the correct way to break 12 into parts and multiply each part by 6?
Answers
Answer:
2nd one
Step-by-step explanation:
Hope I helped!
How to draw two equilateral triangles that are not congruent
Answers
No, it is not feasible to produce any two structuring elements that is not always congruent with one another. This is because equilateral triangles have no internal angles.
This is further explained below.
What is an equilateral triangle?Generally, In the field of geometry, a triangle is said to be equilateral if all three of its sides have the same length.
In the well-known geometry of Euclidean, an equilateral triangle is also an equiangular triangle. This means that all three of the triangle's interior angles are equivalent to each other and are each 60 degrees.
No, it is not possible to create any two equilateral triangles that are not always congruent with one another.
In conclusion, The logic for this is that while each angle in an equilateral triangle is 60 degrees, the sides of the triangle cannot always be identical.
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In a class of 25 students, 13 are female and 15 have an A in the class. There are 10 students who are female and have an A in the class. What is the probability that a student has an A given that the student is female?
Answers
Step-by-step explanation:
a probability is always
desired cases / totally possible cases
25 students in total.
13 are female. therefore, 25-13 = 12 students are male.
15 students have an A.
10 students are female and have an A.
therefore, 15-10 = 5 male students have an A.
"given that a student is female".
this reduces our totally possible cases to 13.
so, the probability that a female student has an A is
10/13 = 0.769230769...
if 2 x 2 whats the divided by -3 to 4
Answers
Answer:its 2
Step-by-step explanation:
Please only answer : The horizontal scale should be X-scale and The vertical scale should be Y-scale
Answers
Regarding the scales to plot the points on the table, we have that:
The horizontal goes from X-min = -7 to X-max = 6.The horizontal scale should be X-scale = 1.The vertical goes from Y-min = -1500 to Y-max = 1200.The vertical scale should be Y-scale = 200.What are the ideal scales for the graphs?To find the ideal scales, we have to verify which are the extrema values of each variable, that is, the minimum and maximum value of each x and y.
From the table, the minimum and maximum values of X are given as follows:
X-min = -7.X-max = 6.This is a small range of values, hence the horizontal scale should be of 1.
From the same table, second column, the minimum and maximum values of Y are given as follows:
Y-min: -1500.Y-max: 1200.This is a large range of values, hence an ideal vertical scale is of 200, as then the number of traces would be almost the same as the number of traces of x.
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Explore Part 2
Drag the number cards to create three points that represent a proportional relationship.
Use the sketch tool if it helps you with your thinking.
Please help I give 10 pt
Answers
Answer:
Step-by-step explanation:
1,3 2,6 4,8
I hope it helps, thank you!
Question content area top Part 1 The temperature in a town is 31.6 during the day and -17.2 at night. Find the difference in the temperatures.
Answers
Answer: The difference in temperature is 45.9F.
What is the equation of the line that passes through the point (8, 1) and has a slope of -3/4?
Answers
Answer:
y-1= -(3/4)(x-8)
Step-by-step explanation:
y -1 =(-3/4)(x-8)
Distribute
y -1= (-3/4)x+6
Get rid of -1 by adding 1 to both sides
y=(-3/4)x+7
Hope this helps :)
3. If it costs $3.50 per pound of sliced ham at the
deli and Weylan spent $2.90, how many pounds
did he buy? Round to the nearest hundredth of a
pound.
Answers
The amount in pounds of sliced ham he can buy is 083 pounds.
How to find the number of pounds he bought?It costs $3.50 per pound of sliced ham at the deli and Weylan spent $2.90.
The number of pounds of sliced ham he bought can be calculated as follows:
Hence,
3.50 dollars = 1 pounds of sliced ham
2.90 dollars = ?
cross multiply
amount of pounds he bought = 2.90 × 1 / 3.50
amount of pounds he bought = 2.90 / 3.50
amount of pounds he bought = 0.82857142857
amount of pounds he bought = 0.83 pounds
Therefore, the amount of pounds bought to the nearest hundredth is 0.83 pounds.
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we know that on average the time it takes to complete a homework assignment is 2.3 hours with a standard deviation of .5 hours. with 13 students in the class, the average to complete the homework was 1.5 hours. what is the percentile of this class
Answers
In standard deviation, 120 is the percentile of this class.
Why is there a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.Test statistic (z) = (weekly study time - average study time)/standard deviation
weekly study time = 2.3 hours
average study time = .5 hours
standard deviation = 1.5 hours
z = (2.3 - 0.5)/1.5
= 1.8/1.5 = 1.2 (to 2 decimal places)
Cumulative area of the test statistic is 1.2
Percentile = 1.2×100 = 120
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Provide the missing reasons for the following proof:
(In the picture)
Options
- Transitive Property of
Congruence
- Subtraction Property of
Equality
- Vertical Angles Theorem
(VAT)
- Division Property of
Equality
- Given
- Angle Congruence
Postulate
- Substitution Property of
Equality
Answers
The missing reasons are for the given two triangles VXW and VYZ are found.
What is defined as the congruent triangles?The assessments of the sides and angles of two or so more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. Two triangles have been shown to be congruent if the pairs of their corresponding angles and sides are equal. They are the same size and shape.The missing reasons for the following proof are -
∠XVW ≅ ∠W ; - Given∠XVW ≅ ∠ZVY ; Vertical Angles Theorem (VAT)m ∠ZVY ≅ ∠W ; Transitive Property of Congruence80x + 13 = 75x + 28 ; Angle Congruence Postulate5x = 15 ; Substitution Property of Equalityx = 3 ; Division Property of EqualityThus, the missing reasons are for the given two triangles VXW and VYZ are found.
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100 times my number is 12.6 more than 5,000.
Answers
Answer:
50.126
Step-by-step explanation:
hope this helps
The solution is 50.126
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
100 times my number is 12.6 more than 5000
Let the number be x
100 times the number = 100x
Now, 100x is 12.6 more than 5000
100x = 5000 + 12.6
100x = 5012.6
Divide by 100 on both sides , we get
x = 50.126
Hence , the solution is 50.126
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What is the probability of
spinning an A?
B B
A
B
A
[?]%
Answers
Answer:
I believe you have a 25% of spinning an A
Step-by-step explanation:
If there are two possible A's to land on and there are 8 different choices,
2/8 = 1/4 and 1/4 is equal to 25%
So the probability would be "not likely"
Hope this helps! Please have an amazing day! :)
I don’t get it I have to find the exterior angle (t+20)
Answers
Answer:
110
Step-by-step explanation:
To find the measure of the exterior angle we first need to find the value of t.
The sum of interior angles in a triangle is equal to 180° so we can write the following equation:
t + 10 + t + t + 20 = 180 add like terms
3t + 30 = 180 subtract 30 from both sides
3t = 150 divide both sides by 3
t = 50
The exterior angles and the angle represented with t + 20 make a straight line
and they are supplementary angles so their sum is equal to 180
t + 20 = 70 to complete this to 180 we need 110
hi helpppppppppppppppppppppppppppppppppppp
Answers
Answer:
with what?
Step-by-step explanation:
What is equivalent to 0.325 in as a fraction
Answers
Answer:
0.325 as a fraction is expressed as 13/40
Step-by-step explanation:
What is a fraction ?
A fraction is a portion of any quantity out of a whole. It consists of a numerator and a denominator.
To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.
In this case, 0.325 has three numbers after the decimal, so, we place 1000 in the denominator and remove the decimal point.
⇒ 325/1000
After reducing this fraction we get,
⇒ (325 ÷ 25) / (1000 ÷ 25) = 13/40
So, 0.325 as a fraction is 13/40.
(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)
Stay positive and Take care,
A fellow mate,
Cheers !
3/4 + 1/3 as a fraction
Answers
Answer:
Step-by-step explanation:
Answer:1 1/12
Step-by-step explanation: 3/4+1/3=13/12=1 1/12
Please help me with this question, if it’s wrong I will report you, thank you for your help!
Answers
IN THE ATTACHED PICTURE YOU CAN SEE THE YELLOW VERTICAL LINE TOUCHED THE GRAPH ONCE IT MEANS THE GRAPH ABOVE IS A FUNCTION.
THEREFORE THE LAST OPTION IS THE SOLUTION. THE GRAPH IS A FUNCTION BECAUSE IT PASSES THE VERTICAL LINE TEST .
HOPE THIS HELPS
MANUFACTURING At a factory, molten glass is poured into molds to make
paperweights. Each mold is a rectangular prism with a height 4 inches
greater than the length of each side of its square base. Each mold holds
63 cubic inches of molten glass. What are the dimensions of the mold?
Answers
The dimensions of the mold are a length and width of 3 inches and a height of 7 inches.
What is the volume of a rectangular prism?The volume of a rectangular prism is the space that it contains. We know that the volume of any prism is calculated by multiplying its base area by its height.
Given :
Let's assume that the length and the width of the "box" is x.
It is said that the height is 4 inches greater, so the height is x+4.
The volume of the mold is:
V = (x)(x)(x +4)
V = x²(x +4 ) using the Distributive Property.
V = x³ + 4x²
Since from the question we have Volume = 63 cubic inches
The equation we have is,
63 = x³ + 4x²
Subtracting 63 from both sides of the equation,
x³ + 4x²- 63 = 0
The cubic equation can be written as,
(x−3)(x²+7x+21) = 0
The solution of the quadratic equation (x²+7x+21) is,
x = -b ±√(b² - 4ac) / 2a
a = 1 , b =7 and c = 21
Substituting the values in the formula,
x = -7 ±√(7² - 4(1(21)) / 2(1)
x = -7 ±√-35 / 2
Hence,there are no real solutions to the quadratic equation.
There is only one real solution to the equation x = 3.
Therefore, the length and width of the rectangular prism are 3 inches and the height is x+4 = 3+4 = 7 inches.
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