Find the perimeter of the triangle. Round your answer to the nearest
hundredth.
W
X
Y
units
Answers
Since, we have to find the sides of the given triangle we will make it a right angle triangle.
Construction: Extend XY to 1 unit and name it Z and join the point W with Z.
Now, the triangle YWZ is a right angle triangle where
YZ = 1 unit
WZ = 3 units
Then [tex]WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WY = \sqrt{(1)^{2}+ (3)^{2} }[/tex]
= [tex]WY = \sqrt{(10) }[/tex]
= [tex]WY = 3.16[/tex] units
Now, the triangle XWZ is also a right angle triangle where
XZ = 3 units
WZ = 3 units
Then [tex]WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WX = \sqrt{(3)^{2}+ (3)^{2} }[/tex]
= [tex]WX = \sqrt{18[/tex]
= [tex]WX =4.23[/tex] units
Now, In triangle XYW
XY = 2 units
WY = 3.16 units
WX = 4.23 units
∴ The perimeter of the triangle XYW will be
XY + WY + WX
= 2 + 3.16 + 4.23
= 9.39 units
To the nearest hundred, 9.39 rounds to 9
⇒ The perimeter of the triangle XYW is 9 units.
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Related Questions
j² 5k for j = -4 and k = -1
Answers
Answer: -80
Step-by-step explanation:
j = -4 and k = -1
j² 5k=
5kj²=
5(-1)(-4)²=
-5(16)=-80
The function g is defined as follows
g(x)=2x^2-7
If the graph is translated vertically downward by 3 units, it becomes the graph of a function h
FIND THE EXPRESSION OF h(x)
H(X)=
Answers
Here is how the function g is defined.
g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.
Given that,
Here is how the function g is defined.
g(x)=2x²-7
The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.
We have to find the function of h(x).
Translation of the quadratic function.
A quadratic function is presented in the form where in its standard form.
f(x)=a(x-h)²+k
Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.
h(x)=g(x)+k
Where g(x)=2x²-7 and k=3
h(x)=g(x)+3
h(x)=2x²-7+3
h(x)=2x²-4
Therefore, the function of h(x)=2x²-4.
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A minor league baseball team plays 94 games in a season. if the team won 16 more than twice as many games as they lost, how many wins and losses did the team have?
Answers
The number of wins is 68 ad losses is 26.
How to compute the value?Let the number of losses = l
Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16
Total games = 94
Therefore we will add the equation
l + 16 + 2l = 94
3l + 16 = 94
3l = 94 - 16
3l = 78
Divide
l = 78/3
l = 26
Losses = 26
Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68
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how do you write slope-intercept form of the equation of each line given the slope and y-intercept.
slope: -5/4
y-intercept: 4
Answers
Answer:
y = -5/4 x + 4
Step-by-step explanation:
Make sure the -5/4 is beside the x. It should not look like the x is on the bottom of -5/4 alongside of the 4.
Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.
Slope-intercept eq:
y = mx + b
You fill in slope where the m is. And you fill in the y-intercept for the b.
In your problem they gave you the slope: m = -5/4 and the y-intercept: b=4.
Fill the m and b in with the given numbers!
y = -5/4 x + 4
solve for x - please help.
Answers
Answer:
x =20°
Step-by-step explanation:
since both sides are equal
3x° = (5x-40°)
3x = 5x - 40°
CLT( collect like terms)
40°= 5x - 3x
40° = 2x
40°/2= 2x/2
20° = x
therefore x =20°
HELP!!!! Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answers
Answer:
4 over 6 = 20 over 30
Step-by-step explanation:
it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster
A rental car company charges prices based on the number of days
you rent the car. If you only rent it for up to 4 days, it will cost a flat
fee of $50 plus $25 per day rented. If you rent it for more than 4
days, they only charge you a flat fee of $45 and $20 per day rented.
How much will you owe if you rent the car for 7 days?
Answers
Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge $185 if you rent the car for 7 days.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let us consider the number of days = x
The equation when number of days(x) <= 4,
⇒ $50 + $25x1 = y1
If the car is rented for more than 4 days, (x>4)
⇒ $45 + $20x2 = y2
Now, we are to calculate the rent for 7 days,
which equals,
y2 = $45 + $20x2
for x2 = 7,
y2 = $45 + $20 × 7
⇒ 45 + 140
⇒ $185
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Al caer la tarde, la temperatura en seattle era de 7 C. A medianoche ‘ la temperatura había caído 15C cual era la temperatura a media noche
Answers
Answer:
hh jkj
Step-by-step explanation:
Answer:
al la trade la temperature en Seattle
Era de 7c a medical
Step-by-step explanation:
5(6+5v)+5(-8-4v) pls explain how to do this
Answers
Answer:
-10 + 5v
Step-by-step explanation:
5(6 + 5v) + 5(-8 - 4v)
We distribute first
30 + 25v -40 - 20v
Then we can combine like terms: 30 plus (-40) is -10. 25v plus (-20v) = 5v.
-10 +5v
Approximate √18 to the nearest tenth and plot
the number on a number
line.
Answers
Answer: 4.2
Step-by-step explanation:
√18=
4.24=
4.24=4.2
multiple choice question. with explanation needed.
Answers
Answer: 4
Step-by-step explanation:
f(c)=3c-8
g(c)=√14-c
Evaluate.
(fog)(-11) =
Answers
Answer: f(g(-11)) = out -23
Step-by-step explanation:
The value of the composite function (fog)(-11) is 3√14 - 41.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions.
In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.
Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).
So, g(-11) = √14 - 11.
Therefore,
(fog)(-11) = 3(√14 - 11) - 8.
(fog)(-11) = 3√14 - 33 - 8.
(fog)(-11) = 3√14 - 41.
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Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 64 ft/sec.
When are the two cars 1 mile apart? (Round your answer to one decimal place.)
answer in seconds
Answers
50.76922
after 50.8 seconds because
50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles
The Mariana Trench is 11 km below sea level. The Japan Trench is 9 km below sea level. What is the difference of depths between them, and which trench is deeper?
2 km, and the Mariana Trench is deeper
−2 km, and the Japan Trench is deeper
20 km, and the Japan Trench is deeper
−20 km, and the Mariana Trench is deeper
Answers
The difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
What is the difference of depths between them, and which trench is deeper?
The given parameters are:
Mariana Trench = 11 km
Japan Trench = 9 km
The Mariana Trench is deeper because 11 is greater than 9
The difference between the depth is
Difference = 11 km - 9 km
Difference = 2 km
Hence, the difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper
b. Find the change in temperature if the temperature rises from -18°F to 15°F.
Answers
The change in temperature is 33°F.
According to the question we have been given that there are two temperature readings which are, -18°F and 15°F.
We need to find the change in temperature that is we need to find the difference. And for that we will use distance formula.
The formula to find the distance between the two numbers p and q is
= |p-q|
Here , p = -18°F and q = 15°F
Putting the required values in the above formula we get
= |-18 - 15| °F
= |-33| °F
= 33°F
Hence the change in temperature is 33°F.
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If a patient drank 1/2-pint of apple juice and received 1 L via IV, what is the total amount of
fluids, in mL, they took in?
Answers
The total volume of fluid that the patient takes in is:
V = 1284.13 mL
What is the total amount of fluids, in mL, they took in?
We need to add the total volume of liquid that the patient consumes.
First, we need to rewrite both volumes in mL, remember that:
1 pint = 568.26 mL
Then for the 1/2-pint of apple juice:
1/2 pint = (1/2)*568.26 mL = 284.13 mL
And:
1L = 1000L
For the liter we have:
1 L = 1000ml
Then the total volume of fluid that the patient takes in is:
V = 284.13 mL + 1000ml = 1284.13 mL
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Does the following expression have a value greater than 2? - 3+ (+4) +2
Answers
Yes, the resulting value of the expression is 3 which is greater than 2.
Expression:
Expression is defined as a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
An expression contains the following:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Expression = -3 + (+4) + 2
Here we need to check the resulting value of the expression is greater than 2 or not.
For that, first we have to simplify the given expression,
Then,
=> -3 + ( 4 + 2)
=> -3 + 6
=> 3
Now, we have know that 3 is greater than 2.
So, the expression is greater than 2.
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PLEASE HELP FAST
Which ordered pair is a solution to the system of inequalities?
Answers
Answer:
2. (-2, -3)...............
◄x
Find the product 3 2/5 x 5/3
Answers
Explanation. 3 2/5 = 17/5
So 17/5 x 5/3 the 5’s will cancel out to leave 17/3 = 5 2/3
I hope this helps!!
Jane has a carton of orange juice.
The carton is in the shape of a cuboid.
20cm-
6cm
10 cm
The depth of the orange juice in the carton is 8 cm.
Jane closes the carton.
Then she turns the carton over so that it stands on the shaded face.
Work out the depth, in cm, of the orange juice now.
Answers
The new depth of the orange juice is now 4cm
Calculating VolumeFrom the question, we are to calculate the depth of the orange juice after Jane turns the carton
First, we will determine the volume of orange juice in the carton.
The volume of orange juice in the carton = 10 cm × 6 cm × 8cm
Volume of orange juice in the carton = 480 cm³
Now, we will determine the depth of the orange juice when the carton stands on the shaded face
If carton stands on the shaded face,
The length becomes 20 cm
and
The width becomes 6 cm
Let the new depth of the orange juice be h
Then,
We can write that
480 = 20 × 6 × h
480 = 120 × h
h = 480/120
h = 4 cm
Hence, the new depth of the orange juice is now 4cm
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a cookie store is running a new special for their grand opening they charge $10 for any number of cookies between 1 and 10 they then charge $20 for any number of cookies between 11 and 20 lastly for orders over 20 cookies they charge $20 plus a fee of $0.50 for each additional cookie past $20
A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost
C) how much would a order of 25 cookies cost
D) what does the equation f(100)=60 mean in this context
Answers
Answer:A) write the piecewise function for this company’s sales model
B) how much would an order of 17
Cookies cost 20$
C) how much would a order of 25 cookies cost 22.5
D) what does the equation f(100)=60 mean in this context
Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(
the accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency. a) describe the shape. b) how many modes does the histogram have?
Answers
A)- The distribution is skewed left.
B)- The histogram has one mode, at 74 to 76 years.
What is histogram?The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.
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Write an expression to represent the number of new tiles that an employee must add to an n*n square floor design to build the next design. let n represent the number of tiles along each edge of the square
Answers
Expression to represent the number of tiles that must be added = 4(n + 2) - 4
Each time a new square floor design is created, there are 8 more new tiles added. To make Designs 2 and 3, respectively, 8 and 16 more tiles were placed on Design 1 and Design 2, respectively.
Possible expressions are:
4n + 4
2(n + 2) + 2n
(n + 2)² - n²
n + n + n + n + 4
4(n + 2) - 4
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solve the equation t/4 = -6
Answers
Answer:
t = -24
Step-by-step explanation:
[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]
Create a verbal math expression (using words). (Your verbal expression must contain "a number" so that the algebraic expression contains a variable.)
Answers
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)
How to create Algebra Word problems?
Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.
Examples of Algebra Word problems and their expressions are;
1) What is 9 increased by a number cubed?
9 + x³
2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;
(x + 5) * (x - 5)
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Estimate the square root to the nearest tenth. √489
Answers
Answer: 22.1
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
COLOR THEME
QQ ZOOM
5. Ms. Smith and Ms. Arceneaux are making tablecloths for their classrooms. They need
3
1
2-yards of material for each of the 2 smaller tables and 5 yards for each of the 2
4
2
larger tables. How much material did they need for the 4 tables?
Answers
Answer:
thanks for the points
Step-by-step explanation:
thanks once again
|r|=-2 can i have some help with this
Answers
Answer:
Yes, is there more to the question?
Step-by-step explanation:
what is the problem0.57+1.825
Answers
Answer:
2.395
Step-by-step explanation:
0.57+1.825 the answer is 2.395
Solve 8 + 2g = 11 for g. Explain.
Answers
Answer:
8+2g=11
1. subtract 8 from both sides
2g=3
2. Divide both sides by 2
ANSWER: g=1.5