For FGH shown below, which of the following is an expression for y in terms of x?
Answers
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
y² = x² + 4²
y² = x² + 16 ( take the square root of both sides )
y = [tex]\sqrt{x^2+16}[/tex] → E
For Triangle FGH Value of y in terms of x will be [tex]\sqrt{x^2 + 16}[/tex] .
What is the Pythagorean theorem?The Pythagorean Theorem demonstrates how the side lengths of a right triangle can be calculated from the sum of the areas of three intersecting squares. This theorem is a very helpful tool that serves as the foundation for more intricate trigonometry ideas like the Pythagorean theorem's opposite.
Given, For FGH shown in figure Hyppotaneus of the triangle is y meters, the base of the triangle is x meters and the height of the triangle is 4 meters. From Pythagorean theorem
y² = x² + 4²
y² = x² + 16
y = [tex]\sqrt{x^2 + 16}[/tex]
Therefore, the Value of y in terms of x for Triangle FGH will be [tex]\sqrt{x^2 + 16}[/tex].
Learn more about the Pythagorean theorem here:
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Related Questions
(50 points) Write an equation for the sine waves.
Answers
Answer:
It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one
The Equation for a sine graph is ASin[B(x-C)] + D
A=Amplitude
B= 2π/period
C= c value at the starting point.
D= y value at starting point
Let your Starting point be at the sinusoidal axis (Max + Min)/2.
Looking at this graph
Let's take 1cm on the y axis to be 1unit(1,2,3,4...)
On the x axis... let's take 1cm to be π units(π,2π,3π....)
To get the sinusoidal axis Max - Min/2
Since 1cm is 1unit
Max =1 (from the graph)
Min= -1
1-1/2 = 0
The axis is at the center of middle
Meaning
D=y=0(Its directly at the x axis)
From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.
A=amplitude = 1cm
B=Period...(Time to complete one Oscillation)
It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10
B=2π/Period.
B=2π/19/10
B=2π x 10/19
B=20π/19
C=0
Writing the Equation
Y= 1Sin[20π/19(x-0)] +0
ie
Y = Sin [20πx/19]
My thoughts on it
Correct me if wrong... Thanks
An auditorium has 20 rows of chairs with 5 chairs in each row 3 tenth of the chairs are cushioned how many chairs are cushioned
HURRYYYY
Answers
Answer:
30 chairs
Step-by-step explanation:
20 times 5 = 100 chairs
100/10 = 10
10 times 3 = 30
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
a
Step-by-step explanation:
Answer:
The answer would be A .......
draw the graph of 4x-3y=0
Answers
Answer:
Slope is 4/3 and y intercept is (0,0)
Step-by-step explanation:
points : (1.5,2) , (3,4) , (4.5,6) , (6,8) , (-1.5,2) , (3-,-4) , (-4.5,6) , (-6,-8)
The scatterplot below represents the number of hot drinks sold on a given
day versus the low temperature of that day. Of the following lines, which
best fits the data in the scatterplot?
Answers
Answer:
A) y=-1/2x+55
Step-by-step explanation:
We can clearly see a negative trend/association between the number of hot drinks sold on a given day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.
Madison used 4 pears and 12 apples to make a fruit salad. What is the ratio of the
number of pears to the number of apples in the fruit salad? (Simplify your answer)
Answers
So the ratio would be 12/4
Then u simplify into 4/1 ( I divided each number by 4)
BRAINLIEST + 10 POINTS
Answers
Answer:
area- 628
circumference- 62.8
Find the value of x such that the data set has the given mean.
Answers
Answer:
39.1
Step-by-step explanation:
31.7 + 42.8 + 26.4 = 100.9
35 times 4 = 140
140 - 100.9 = 39.1
Answer:
[tex]mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1[/tex]
option 3
Dayquan decided to run some laps around the track. If the diameter of the track is 75 feet, how far around the track did he run?
Answers
Answer: 235.5 feet
Step-by-step explanation:
In this case, we have to calculate the circumference of the track. The circumference will be calculated as:
= 2πr
Diameter = 75 feet.
Radius = 75/2 = 37.5 feet
Circumference = 2πr = 2 × 3.14 × 37.5 = 235.5feet
Somebody please help.
Answers
What is the area, in square centimeters, of triangle Z?
Answers
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...
A = 1/2bh
A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z
a child has a collection of football cards. they are to be kept in a folder with 9 cards on each page. the child has 28 complete sets of 12 cards and another 61 cards. how many pages will be needed to store the cards?
pls help with solutions
Answers
Answer:like pink and a half
Step-by-step explanation:you add a child into a duck and make orange
A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.
Answers
Answer:
Solution given:
A.coordinate are
A(-2,3)
B(0,-3)
C(4,5)
B.Each length are :
we have
length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
now
AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units
AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units
C. the figure:
By using Pythagoras law
base[b]=AB=perpendicular [p]=AC
hypotenuse [h]=BC
we have
h²=p²+b²
substituting value
([tex] 4\sqrt{5} [/tex])²=2p²
16*5=2*([tex] 2\sqrt{10} [/tex])²
80=2*4*10
80=80
SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answers
[tex]\sf\implies{ \angle RSU + \angle USV = 90 \degree }[/tex]
[tex]\sf\implies{ (4x-15) + 20 = 90 }[/tex]
[tex]\sf\implies{ 4x-15+20=90}[/tex]
[tex]\sf\implies{4x+5=90}[/tex]
[tex]\sf\implies{4x=90-5}[/tex]
[tex]\sf\implies{4x=85}[/tex]
[tex]\sf\implies{x={\dfrac{85}{4}}}[/tex]
[tex]\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}[/tex]
[tex]\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}[/tex][tex]\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}[/tex]here are four fractions 2/5 11/30 1/2 7/15 write these fractions in order of size start with the smallest fraction
Answers
Answer:
11/30, 2/5, 7/15, 1/2
Step-by-step explanation:
2/5= 0.4
11/30= 0.36
1/2= 0.5
7/15= 0.46
write an expression equivalent to -4(x+3)-12x+5 that only has two terms
Answers
Answer:
-16x-7
Step-by-step explanation:
you distribute the -4, then combine like terms, that is about it, here is a picture of everything i did
HURRY PLS !!!
Which statements about the graph of the function f(x) =2x^2 - x - 6 are true? Select two options.
The domain of the function is {xlx > 1/4}
The range of the function is all real numbers.
The vertex of the function is (1/4, -6 1/8).
The function has two x-intercepts.
The function is increasing over the interval (-6 1/8, ).
Answers
we have
using a graphing tool
see the attached figure
This is a quadratic equation (vertical parabola) open up
The vertex is a minimum---------> Vertex
The domain of the function is all real numbers-------> interval (-∞,∞)
The range of the function is the interval----------> [-6.125,∞)
The function has two x-intercepts-----> and
The function is increasing over the interval-----> (0.25,∞)
The function is decreasing over the interval-----> (-∞,0.25)
Answer:
the range of function is all real numbers,
and the function has 2 x intercepts
Step-by-step explanation:
super easy way to do it, look for an i in your equation, if there is none, and you dont take the square root of a negative number, all answers are real. then you can see that you function crosses the x-axis twice, meaning you have two x-intercepts
Uh need help with this one.
Answers
Answer: well its 2.31
Step-by-step explanation: mental math
The students in Ms. Dodd's class recorded the height in feet of palm trees on school property. Their heights were as follows:
32, 33, 34, 35, 37, 37, 38, 38, 39, 40, 42, 42, 43, 44, 44, 45, 45, 45, 47, 50
Which measures of center best represent the height of the palm trees?
A. mean or mode
B. mean or median
C. mode or median
D. mean, mode, and median
Answers
Answer:
;)
Step-by-step explanation:
im just here to collect points cause im poor
The value of the mean and the median is so close. Then the correct option is B.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect, and summarise the data.
The data is given below.
32, 33, 34, 35, 37, 37, 38, 38, 39, 40, 42, 42, 43, 44, 44, 45, 45, 45, 47, 50
The mean is calculated as,
Mean = (sum of all values) / (number of values)
Mean = (32 + 33 + 34 + ... + 47 + 50) / 20
Mean = 40.5
The median is calculated as,
Median = middle value
Median = 41
The mode is calculated as,
Mode = most frequent
Mode = 45
The value of the mean and the median is so close. Then the correct option is B.
More about the statistics link is given below.
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simplify. please do it now i need help
Answers
Answer:
1/243 or 0.00411522…
Decimal form:
0.00411522
Leslie planted a tree that grows at an average rate of 6 inches each year. What is the
slope of the line?
Answers
Answer:
you stated the question wrong, a tree grows upwards. state the question again
Answer:
slope = 6
Step-by-step explanation:
since the rate is 6 in/yr, the slope is 6.
HELP PLS !!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
the area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square
Answers
Answer:
25 cm^2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Area if a square = length²
225 = length²
length = √225
length = 15
if the map is drawn to scale of 1 : 3
the length on the map = 15/3 = 5
area of the square 5 x 5 = 25
What is the midpoint between the two points (2,0) & (6,-2) *
Answers
Answer:
( 4, -1 )
Step-by-step explanation:
Gage Millar, Algebra 2 tutor
(2,0) -> (6, -2) requires a transition of (+4, -2) now we divide the new number by 2 to find the amount changed from each side (+2,-1) then we add that to the original point (2,0) to get (4,-1)
WILL GIVE BRAINLIEST+100 POINTS!!! HIGH SCHOOL GEOMETRY!!
SOLVE NUMBER 12
Answers
You start at (4,3). You move left 3 units. Where do you end?
Answers
Answer:
(2, 3)
Step-by-step explanation:
for graph f what is f(0)?
Answers
Answer:
2
Step-by-step explanation:
The function shows a point at 2 where x = 0.
What is the volume of the following rectangular prism?
25
units?
4
00
units
Volume
units
Answers
Answer:
25/4 * 8/5 = 10
Step-by-step explanation:
V = Bh
Find the slope of the line passing through the points (-9, -6) and (-4, 5).
Answers
Answer:
m=[tex]\frac{11}{5}[/tex]
Step-by-step explanation:
I think that is the slope
Do u give brainliest?
The students in Ms. Dodd's class recorded the height in feet of palm trees on school property. Their heights were as follows:
32, 33, 34, 35, 37, 37, 38, 38, 39, 40, 42, 42, 43, 44, 44, 45, 45, 45, 47, 50
Which measures of center best represent the height of the palm trees?
A. mean or mode
B. mean or median
C. mode or median
D. mean, mode, and median
Answers
Answer:
B
Step-by-step explanation: