The coordinates of triangle GBW are G (20, 10) B (-35, 20), and W (5,-10). Is GBW a right triangle? Justify your answer.
Answers
Answer 1
Answer:
We know from Pythagoras' Theorem, a right angle triangle can be identified by the relationship:
Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.
First, we must find the greatest side length.
We know, using the distance formula.
%5E2%20%2B(20-10)%5E2%7D%20%3D%5Csqrt%7B3125%7D)
%5E2%20%2B(-10-20)%5E2%7D%20%3D%5Csqrt%7B2500%7D)
%5E2%20%2B(10%2B10)%5E2%7D%20%3D%5Csqrt%7B625%7D)
From this, we know that:
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
Therefore, this triangle is a right angled triangle
Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.
First, we must find the greatest side length.
We know, using the distance formula.
From this, we know that:
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
Therefore, this triangle is a right angled triangle
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Roland took a cab from his house to the airport. The cab company charges $3.00 to start the meter and $.50 per mile after that from Roland's house to the airport. What is the total amount roland has to pay the cab driver at the airport
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Twice a number increased by 5?? in algebraic expression
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the relationship between the number of points scored and the likelihood of losing a football game which one is the independent variable answer
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Answers
First we need to find the the answer to both the square root of 49 and 9.
The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.
So for example: Square root of 16 = 4 because 4*4=16
So lets get out numbers:
Now you multiply 3*7 (or 7*3) and you get 21.
Final answer: 21
The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.
So for example: Square root of 16 = 4 because 4*4=16
So lets get out numbers:
Now you multiply 3*7 (or 7*3) and you get 21.
Final answer: 21
Well, first, you need to find the square root of the two numbers. To find it, they are the numbers multiplied by each other to get a product. Example: The square root of 49 = 7. Why? Because 7 times 7 = 49. You see how we multiplied 7 by its own self, and how we DIDN'T multiply 7 by any other number BUT itself? See, that's how you find the square root. So, we know that 3 times 3 = 9, and THAT means the square root of 9 = 3. All we have to do now is solve the problem when it says to multiply both of the numbers, (7 times 3), and WHAT DO YOU GET? 21! (Get it? Like the 21 joke-trend?) :D (Laughing emote). :P
Final Answer: 21. :-)
Final Answer: 21. :-)
Answers
If you would like to know what percent of the wholesale price to the retailer are production wages and benefits, you can calculate this using the following steps:
x% of $1,399.99 is $360.00
x% * 1,399.99 = 360.00
x/100 * 1,399.99 = 360.00
x = 360.00 * 100 / 1,399.99
x = 25.71%
The correct result would be 25.71%.
x% of $1,399.99 is $360.00
x% * 1,399.99 = 360.00
x/100 * 1,399.99 = 360.00
x = 360.00 * 100 / 1,399.99
x = 25.71%
The correct result would be 25.71%.
A. h = 3 m; r = 3 m
B.h = 4.23 m; r = 5 m
C.h = 15 m; r = 6 m
D.h = 33.75 m; r = 2 m
Answers
Given:
Cone-shaped filter: height = 4m ; diameter = 9m
cylinder: one full cone-shape filter fills 1/5 of the cylinder
volume of the cone = π r² h/3 = 3.14 * (4.5m)² * 4m/3
V = 3.14 * 20.25m² * 1.33m
V = 84.57 m³
84.57 m³ ÷ 1/5 = 84.57 m³ * 5 = 422.85 m³ volume of the cylinder
Volume of cylinder = π r² h
Choice A: V = 3.14 * (3m)² * 3m = 3.14 * 9m² * 3m = 84.78 m³
Choice B: V = 3.14 * (5m)² * 4.23m = 3.14 * 25m² * 4.23m = 332.10 m³
Choice C: V = 3.14 * (6m)² * 15m = 3.14 * 36m² * 15m = 1695.60 m³
Choice D: V = 3.14 * (2m)² * 33.75 m = 3.14 * 4m² * 33.75m = 423.90 m³
The closest answer is Choice D. height = 33.75 m ; radius = 2 m
Cone-shaped filter: height = 4m ; diameter = 9m
cylinder: one full cone-shape filter fills 1/5 of the cylinder
volume of the cone = π r² h/3 = 3.14 * (4.5m)² * 4m/3
V = 3.14 * 20.25m² * 1.33m
V = 84.57 m³
84.57 m³ ÷ 1/5 = 84.57 m³ * 5 = 422.85 m³ volume of the cylinder
Volume of cylinder = π r² h
Choice A: V = 3.14 * (3m)² * 3m = 3.14 * 9m² * 3m = 84.78 m³
Choice B: V = 3.14 * (5m)² * 4.23m = 3.14 * 25m² * 4.23m = 332.10 m³
Choice C: V = 3.14 * (6m)² * 15m = 3.14 * 36m² * 15m = 1695.60 m³
Choice D: V = 3.14 * (2m)² * 33.75 m = 3.14 * 4m² * 33.75m = 423.90 m³
The closest answer is Choice D. height = 33.75 m ; radius = 2 m
Answers
inverses
solve for x
replace x with f inverse
replace y with x
so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x
x turns to f inverse and y turns to x
f(x)⁻¹=
looks like they didn't want to expand the binomial
y=%5E%7B2%7D%7D%2B3%7D%7B2%7D)
answer si A
solve for x
replace x with f inverse
replace y with x
so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x
x turns to f inverse and y turns to x
f(x)⁻¹=
looks like they didn't want to expand the binomial
y=
answer si A
Answers
First you have to find the intercepts!
To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).
Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).
So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.
hope that helped~
To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).
Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).
So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.
hope that helped~
Graph the intercepts by assigning the balue to y or x then after u assign u will graph it. Since it is a linear equation it might be easier so it may be a line not a parabola
Answers
To find a percentage, you the decimal point in the percent two places to the right 16% = 0.16. Then multiply.
0.16 • 400 = 64
16% of 400 = 64
0.16 • 400 = 64
16% of 400 = 64