Answer:
RD≅ TA
Step-by-step explanation:
RD≅ TA is not true statement as they are not corresponding sides.
Please answer this fast in two minutes
Answer:
H(0, -7)
Step-by-step explanation:
x:
(16 + x)/2 = 8
16 + x = 16
x = 0
y:
(-2 + y)/2 = -4.5
-2 + y = -9
y = -7
H(0, -7)
Type the correct answer in each box. In part E, you proved that any Pythagorean triple can be generated using the identity (x^2 − y^2)^2 + (2xy)^2 = (x^2 + y^2)^2. Find the missing x- and y-values and Pythagorean triples using the identity given. Write the triple in parentheses, without spaces between the values, with a comma between values, and in order from least to greatest. x-value y-value Pythagorean Triple 4 3 5 (9,40,41) 6 3 (27,36,45) 7 5
Answer: (9, 40, 41)
Step-by-step explanation:
There are an infinite number of Pythagorean triples.
Any value a, b, c such that a² + b² = c²
Here are a few of them:
3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
9, 40, 41
Answer:
(x²-y²)² + (2xy)² = (x²+y²)²
Find the missing x- and y-values and Pythagorean triples using the identity given
A Pythagorean triple consists of three positive integers a, b, and c, that satisfy the equation from the Pythagorean theorem, thus, a² + b² = c², such triple is commonly written (a,b,c).
We are given the equation : (x²-y²)² + (2xy)² = (x²+y²)² since this, we have :
a = (x²-y²)
b = (2xy)
c = (x²+y²)
Question 1)
X Value = 4
Y Value = 3
Pythagorean triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (4²-3²) = 16-9 = 7
b = (2xy) = (2*4*3) = 24
c = (x²+y²) = (4²+3²) = 16+9 = 25
Answer 1 : Pythagorean triples : (7,24,25)
Question 2)
X Value = 5
Y Value = ?
Pythagorean Triples: (9,40,41)
Now we have a, b, and c, to determine Y
b = (2xy) = 40
Y = 40/2x = 40/2*5 = 40/10 = 4
Answer 2 : Y = 4
Question 3)
X Value = ?
Y Value = 3
Pythagorean Triples: (27,36,45)
Now we have a, b, and c, to determine X
b = (2xy) = 36
X = 36/2y = 36/2*3 = 36/6 = 6
Answer 3 : X = 6
Question 4)
X Value = 7
Y Value = 5
Pythagorean Triples: ?
We can replace the values of x and y, to determine a, b and c.
a = (x²-y²) = (7²-5²) = 49-25 = 24
b = (2xy) = (2*7*5) = 70
c = (x²+y²) = (7²+5²) = 49+25 = 74
Answer 4 : Pythagorean triples : (24,70,74)
Hope this helps!
Step-by-step explanation:
From Spymore
Please answer this question now in two minutes
Answer:
LJ = CB
Therefore, CJ is 50km
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each unit rate to the graph that represents it
Answer:
2/9 , 3/7 , 1/5
Step-by-step explanation:
The pattern in matching the x value / y value, kind of like getting a gradient.
For example: Look at first paragraph, the points it corresponds are on x = 9, and y = 2, y/x = 2/9
The unit rate of first, second and third graph respectively are 2/9, 3/7 , and 1/5.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To determine unit rate to the graph that represents
The pattern that results from matching the ratio x value to the y value resembles that of a gradient.
According to the first graph,
the points it corresponds are on x = 9, and y = 2, y/x = 2/9
According to the second graph,
the points it corresponds are on x = 7, and y = 3, y/x = 3/7
According to the third graph,
the points it corresponds are on x = 5, and y = 1, y/x = 1/5
Hence, the unit rate of first, second and third graph respectively are 2/9, 3/7 , and 1/5.
Learn more about graph here:
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(02.03 M)
Write the equation of a function whose parent function, f(x) = x + 6, is shifted 4 units to the right.
Answer:
[tex]\boxed{f(x) = x + 2}[/tex]
Step-by-step explanation:
The translation is horizontal translation.
The value of x is subtracted from 4, since the function is shifted 4 units to the right.
f(x - 4)
f(x) = (x - 4) + 6
f(x) = x + 2
solve this pls asap ...
Answer:
D. m∠C = 34, b = 25, c = 16
Step-by-step explanation:
If all you want is an answer, your friendly triangle solver can provide it. (See below)
__
When you have two angles and a side length, the law of sines can be helpful.
b/sin(B) = a/sin(A)
b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25
Similarly, you have C = 180° -27° -119° = 34°, so ...
c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16
These values match answer choice D.
m∠C = 34, b = 25, c = 16
Calculate the total surface area of a pipe with inner surface area 1508.5 square cm, outer surface area 2514.2 square cm, and inner radius 3 cm and outer radius 5 cm. *
Answer:
The total surface area of the pipe is 4123.31 cm²
Step-by-step explanation:
Total surface area (TSA) of a pipe is calculated as;
Outer area of the pipe + Inner area of the pipe + cross section of the two ends
TSA = 2πRL + 2πrL + 2π(R² - r²)
TSA = 2π(RL + rL + R² - r²)
where;
R is the outer radius
r is the inner radius
L is length of the pipe
Determine the length of the pipe
Outer surface area of the pipe is calculated as;
outer surface of the pipe = 2πRL
2514.2 = 2πRL
2514.2 = (2π x 5) L
2514.2 = 31.42 L
L = 2514.2 / 31.42
L = 80.02 cm
Finally, determine the total surface area of the pipe
TSA = 2π(RL + rL + R² - r²)
TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)
TSA = 2π(400.1 + 240.06 + 16)
TSA = 2π(656.16)
TSA = 4123.31 cm²
Therefore, the total surface area of the pipe is 4123.31 cm²
What is the solution to the system of equations? y = –5x + 3 y = 1
a(0.4, 1) b(0.8, 1) c(1, 0.4) d(1, 0.8)
Answer:
A
Step-by-step explanation:
We know that the y-coordinate has to be 1 so we can eliminate options C and D. If we plug y = 1 into y = -5x + 3 to solve for x we get:
1 = -5x + 3
-2 = -5x
x = 0.4 so the answer is A.
Small tug boats pull cruise ships up and down rivers to prevent them from grounding. Cruise ships anchor 22 km away from the river port. A tug boat can travel 20 km downstream in the same time it takes it to travel 10 km upstream. If the speed of the current is 5 km/h, calculate the time it takes for the tug boats to travel downstream from the river port to the cruise ship .
Answer:
1.1 hour or 1 hour and 6 minutes
Step-by-step explanation:
Time is given by the distance divided by the velocity. If the time it takes the tugboat to travel 20 km downstream in the same time it takes it to travel 10 km upstream, then:
[tex]t_1=t_2\\\frac{20}{v_b+v_c}=\frac{10}{v_b-v_c}\\v_c=5\ km/h\\20v_b-100=10v_b+50\\10v_b=150\\v_b=15\ km/h[/tex]
The velocity of the boat is 15 km/h. When traveling downstream, the current will favor the boat, therefore, the time required for it to travel 22 km downstream is:
[tex]t=\frac{22}{v_b+v_c} \\\t=\frac{22}{15+5}\\ t=1.1\ hour[/tex]
It will take the boat 1.1 hour or 1 hour and 6 minutes.
Michael and Tyler both ran a half marathon Michael finished in 1 hour 42 minutes and 13 seconds Tyler finished in 97 minutes and 49 seconds who was faster how much faster was he?
Answer:
Step-by-step explanation:
From the question, we are informed that Michael and Tyler both ran a half marathon and that Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 97 minutes and 49 seconds.
First, we should know that 60 minutes makes 1 hour, therefore we need to change Tyler's time taken to finish the marathon appropriately. Since Tyler finished in 97 minutes and 49 seconds, this will be converted to 97 minutes equals 1 hour 37 minutes. Therefore, Tyler used 1 hour, 37 minutes and 49 seconds.
Since Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 1 hour, 37 minutes and 49 seconds. We can see that Tyler is faster than Michael.
To know how much faster Tyler was, we subtract Tyler's time from Michael's. This will be:
= (1 hour, 42 minutes 13 seconds) - (1 hour, 37 minutes, 49 seconds)
= 4 minutes, 24 seconds.
Tyler was faster by 4 minutes, 24 seconds.
a fertile area in a desert with a steady water supply
Answer:
oasis
Step-by-step explanation:
if i were to divide 15.34 by 1.64 what would it be
Answer:
9.35975609756
Step-by-step explanation:
Its about this I just put it into a calculator
Answer:9.353658
Step-by-step explanation:
Work out the mean for the data set below: 3004, 3007
Answer:
Hey!
Your answer would be 3,005.5!
Step-by-step explanation:
How did we get this?
Well to find the mean of a data set we...
ADD ALL THE VALUES UP and DIVIDE BY THE AMOUNT OF NUMBERS PRESENT...
So in this case...
WE DO: 3,004 + 3,007 = 6,011
NOW: DIVIDE BY 2...6,011 / 2
YOUR ANSWER IS 3005.5!
Hope this helps!
The mean for the data set given 3004, 3007 is, 3005.5
What is mean?In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.
Generally, we use three terms for measurement of central tendency like, mean, median, mode.
In simple words, mean is an average of all the dataset.
formula;
Mean = Sum of all the dataset/Total number of dataset
Given data set,
3004 & 3007
Mean = X₁+X₂/2
Mean = (3004+3007)/2
Mean = 3005.5
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lathematics
1. There are 150 students in a college of whom 66 play
basketball, 45 play cricket and 42 play soccer, 27 play
exactly two of three sports & 3 play all of three sports,
How many of 150 play none of 3 sports?
Answer:
30 is the correct choice.
Step-by-step explanation:
150 = {baseball} + {cricket} + {soccer} - {exactly 2 sports} - 2*{exactly 3 sports} + {none of the ports}
150 = 66 + 45 + 42 - 27 - 2*3 + {none of the ports}
--> {none of the ports} = 30
Best Regards!
Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.
The approximate length of segment WX is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment XY is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment YZ is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate perimeter of quadrilateral WXYZ is [tex]\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right][/tex]
Answer:
The answer is given below
Step-by-step explanation:
Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)
The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:
[tex]|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Therefore, the side length of the quadrilaterals are:
[tex]|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47[/tex]
[tex]|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4[/tex]
The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units
Answer:
4.47,
2
4
14.47
Step-by-step explanation:
Solve the proportion 6 / 18 = p / 36
Answer:
[tex] \frac{6}{18} = \frac{p}{36} \\ p = 36 \times \frac{6}{18} \\ p = 12[/tex]
Graph the linear equation. Find three
points that solve the equation, then plot
on the graph.
x - y = 1
Answer:
Use a graphing calc.
Step-by-step explanation:
Noah was paid a 25% commission of selling a used car if she was paid 1631.24 dollars what was the selling price of the car
Answer:
$6524.90
Step-by-step explanation:
Given that 25% = 1631.24, then the selling price is 100%.
To find 100%, we multitask the value of 25% by 4.
So, the SP(Selling Price) = $1631.24 x 4 = $6254.90.
Hope this helps
Answer:
6524.96 dollars.
Step-by-step explanation:
Let x be the selling price then:
0.25x = 1631.24
x = 1631.24 * 4
= 6524.96 dollars.
What is the surface area of a sphere with a diameter of 16 cm?
Answer:
804.25 cm² (corrected to 2 decimal places)
Step-by-step explanation:
Radius = diameter / 2
= 16/ 2
=8 cm
Surface area of sphere = 4πr²
= 4π8²
=804.25 cm² (corrected to 2 decimal places)
The company profits increased 20% from last year. If the profits last year were $2,500, what are the company's profits this year? A. $30 B. $300 C. $5,000 D. $3,000
Step-by-step explanation:
last years was $2500.00
20% of $2500 = $500.00
profit this year is $3000.00
Answer:
D
Step-by-step explanation:
the square root of 181 lies between?
Answer: 13 and 14
Step-by-step explanation:
13^2=169
14^2=196
181 is between 169 and 196.
Thus, the square root of 181 is between 13 and 14
Hope it helps <3
Answer:
Between 13 and 14
Step-by-step explanation:
If we evaluate √181, we get 13.4536.
Alternatively, we know √181 is between perfect squares √169 and √196
√169 < √181 < √196
13 < √181 < 14
Can someone help me with this question please.
Answer:
x=88° a=+3 b=4a-3
Step-by-step explanation:
as triangles ADE and BCE are congruent by sss axiom
so correponding angles are equal
i.e<AED = <BEC
and <DAE =90-60
=30°
so
62°+x+30°=180°
therefore x=88°
What is the equation of the following line written in slope-intercept form?
(1,5)
Oy=-5x
Oy= 5x
Oy=5/x
Answer:
y = 5x
Step-by-step explanation:
The y intercept is 0 since it crosses the y axis at 0
The slope is rise over run
From (0,0) we go up 5 and to the right 1
5/1 = 5
Slope = 5
The slope intercept equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x+0
y = 5x
Answer:
y=5x
Step-by-step explanation:
Plz help(by solving for x)
Answer:
x = 5.85641
Step-by-step explanation:
Step 1: Find missing leg of left triangle
sin30° = x/16
16sin30° = x
x = 8
Step 2: Find missing leg of right triangle
8² + b² = 16²
b² = 192
b = 8√3
Step 3: Find x by taking the difference
8√3 - 8 = 5.85641
Find the least common denominator for these
two rational expressions.
X/x^2-4
2x/x^2-8x+12
Answer: 2/4x
Step-by-step explanation:
Answer: x^2
Step-by-step explanation: X/x^2-4
2x/x^2-8x+12
Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of a pizza and Daniel eats 2/3 of it. How much is the pizza is left?
Answer:
The answer is 1/12
Step-by-step explanation:
The diagram shows an incomplete polygon. How do I determine whether it is a regular polygon or not? How should I write my reasoning?
Answer:
see explanations below.
Step-by-step explanation:
The shown sides are all equal.
If it is a regular polygon, it must have all interior angles equal, and all sides equal.
IF
all sides are equal and all angles are equal,
THEN
it is a regular polygon, with 12 sides, because in regular polygons, all exterior angles are equal, and add up to 360 degrees.
No. of sides = 360/(180-150) = 360/30 = 12 sides.
Gassim bought 2L of colour paints to paint a wall of a villa. He already had 0.75L of colour paint. If he uses 2/5 of colour paints , find the amount of colour paints left?
THNXX for answering : )
Answer:
0.45 litres
Step-by-step explanation:
2/5 multiplied by 2 = 0.8
0.8+0.75= 1.55
2-1.55 = 0.45
what is domain and range in graphing in math
Answer:
X and Y axis values
Step-by-step explanation:
Domain is the possible values for x -axis and range is the possible values for y-axis
Answer:
The Y and X values on a graph
Step-by-step explanation:
There are many names for the y and x axises on a graph like domain and range, input and output, and independent variable and dependent variable.
Y-axis:
Range
Input
Independent Variable
X-axis:
Domain
Output
Dependent Variable
What is a perfect square? A. a number whose square root is a decimal number that terminates B. a negative whole number C. a number whose square root is a whole number D. a number times itself
Answer:
The answer is option C.
a number whose square root is a whole number
Hope this helps you
Answer:
C. a number whose square root is a whole number
Step-by-step explanation:
A number whose square root is a terminating decimal is not a perfect square.
A negative whole number cannot be a perfect square.
A number times itself is squared, the number itself is not a perfect square.
The correct answer is option C, a number whose square root is a whole number. For example: 4 is a perfect square.
[tex]\sqrt{4} =2[/tex]
The square root of a perfect square is always a whole number.