The missing lengths of a geometric system are listed below: AC = 114, BC = 96, BE = 3
How to determine missing lengths of two similar triangles
In this problem we find a geometric system formed by two similar triangles. Two triangles are similar if every pair of corresponding sides have the same proportion. Then, the system is described by this proportion formula:
AB / AC = AE / AD = BE / CD
18 / AC = 15 / 95 = BE / 19
Then,
18 / AC = 15 / 95
AC = 18 × (95 / 15)
AC = 114
15 / 95 = BE / 19
BE = 19 × (15 / 95)
BE = 3
Now, we determine the length of side BC:
BC = AC - AB
BC = 114 - 18
BC = 96
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This is 7th grade math: Equations and Inequalities word problems
The Total cost of a teapot and some teacups is $100. The teapot costs $40. Each teacup costs $10. Write an equation to find t, the total number of teacups bought.
Answer:
I'm not a hundred percent sure but I think 6 teacups were bought for 60$
x^2 + 4x − 9 = 0
I have no idea what to do! Help
Answer:
X= 1.8
Step-by-step explanation:
If I’m not mistaken then this is how to work it out. X^2 + 4x -9 =0. X^2 + 4x would be 5x. 5x - 9 = 0. +9 on both sides. 5x=9. Divide by 5 on each side. X= 1.8
A rectangle has an
ared of 125 square
feet. A second
rectangle's area is
70% of the first. What
is the area of the
second rectangle?
Answer:
87.5 square feet
Step-by-step explanation:
You can find percent by converting it into a decimal and multiplying
125*0.7=87.5
i need help math asap
pls ANWSER this easy question for math all my points *32*
Answer:
C
Step-by-step explanation:
For Babies-r-us each diaper is $2
then for online it's $2.15 per diaper
Answer:
C
Step-by-step explanation:
each diaper is $2.15
M<6=(x+10), m<2=(x+15)
<6 and <2 are alternate interior angles
Answer:
ano ang pinag kaiba noon kaysa ngayon
MODELING REAL LIFE You ride your bicycle 40 meters. How many complete revolutions does the front wheel
make?
32.5 cm
The bicycle makes complete revolutions.
Answer:
19
Step-by-step explanation:
r = 32.5 cm
C = 2πr = 2(3.14159)(32.5 cm) = 204.20 cm
40 m = 40 m × (100 cm)/m = 4000 cm
4000 cm / 204.2 cm = 19.588
Answer: 19
Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?
Please, need answer in 5 minutes
The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.
Answer:
2.49-1.99= 0.5
0.5 divided by2.49 times 100 is about 20% decrease
1.99-2.49+0.5 also so it is also a 25 percent increase
Step-by-step explanation:
If right I’ll give brainliest
Answer: A. 85
Step-by-step explanation:
To set up an equation to solve for x you need to know:
The to 2 interior (inside) angles, opposite of the exterior, added together is equal to the exterior (outside) angle.
2x + 3 + 5x - 2 = 8x - 11
7x + 1 = 8x - 11
x = 12
Plug x back into the exterior angle outside angle
8(12)-11
96-11
85
what should be added to twice a rational Number -7/3to get 3/7
Answer:
107/21
Step-by-step explanation:
re - phrase the question algebraically:
-14/3 + y = 3/7
LCM of 3 and 7 = 21
-98/21 + y = 9/21
what should be added to -98 to make 9?
answer: 107
therefore answer: 107/21
Hope this helps.
Good Luck
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
I need help plz.... thanks..
Answer:
20
Step-by-step explanation:
In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
The area of the polygon is solved to be 1044 squared cm
How to find the are of the c]polygonThe area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas
Section 1 has dimensions:
length * width = 46 * 14 = 644
section 2 has dimensions:
length = 46 - 21 = 25
width = 30 - 14 = 16
Area = 25 * 16 = 400
Area of the composite figure
section 1 + section 2
= 644 + 400
= 1044 squared cm
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Magnetism: So I need help on this question but please explain how you got the answer so I can learn and better provide evidence :) If you are able to answer this I also am putting a few questions on here for this similar subject for my test and pls explain them all ty!
Answer:
I think Option B is correct
Step-by-step explanation:
because Iron nail is wrapped with a copper wire so it's a solinoid and when the switch is off it gets magnetic field or the iron nail would behave like a magnet.
and It would attract metallic things.
Hope this helps you
have a nice day :)
If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability that only one of the three mice will turn left?
Answer:
.125
Step-by-step explanation:
(.5)^2(.5)^1= .125
Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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3-9+ 5 5/6 + 3x * 1/4 * 5.70 + 9.60 - 34/70 / 188/500 =
Answer:
52.18332817
Step-by-step explanation:
brainly pls
What is the probability of selecting a green shirt
the probaility of selecting a green shirt
NEED HELP ASAP, I'LL GIVE BRAINLIEST. (EXPLANATION NEEDED) ALGEBRA
\(31x^2 +14y -15x +3\\\\=x(31x-15)+14y+3\)
A group of 25 employees want to go out for a group dinner.
18 employees want to go to Restaurant A.
7 employees want to go to Restaurant B.
Use this information to answer the questions below.
ws the proportion of employees who want to an to Restaurant
In a certain investigation: 460 persons were involved in the study: and based on an enquiry on their age. it was known that 75% of them were 22 or more years. The following frequency distribution shows the age composition of the persons under study. Find the mean and modal life of condensers_ Mid; age in years No. of persons 18 f; 23 28 33 90 122 ; 38 56 48 24 20 33'
Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.
What does a percentage actually mean?In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.
Here,
The following algorithm must be used to determine the mean age:
=> mean = (all years added together) / (total number of persons)
The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
According to the information provided, there are 460 people in total.
=> mean = 17745.25 / 460
=> mean = 17745.25 / 460
As a result, the average lifespan is roughly 38.552 years.
The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.
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Ling painted a picture of a local historic landmark for her history project. First, she painted a statue using a mix of black and white paint. Then, she painted a stone building using double the amount of black paint and double the amount of white paint. Which structure was a darker shade of gray?
Answer: Neither They were the same shade of Grey.
Step-by-step explanation:
it’s the right answer trust me
Color would be the same for both statue and stone buildings.
Let's, consider paint black as = x
and paint white as = y
If both the paints are mixed then paint z which is grey is formed.
Represented as,
x(black) + y(white) = z(grey)
Whereas, for the stone building double the amount of black and white colors are being used,
2x + 2y = 2z, coating of grey color would be also double.
Canceling 2 from both sides,
x + y = z
x(black) + y(white) = z(grey)
Therefore color would be the same for both statue and stone buildings.
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Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
Find the volume (in units3) generated when the region between the curves is rotated around the given axis. y = x3, y = 0, and y = 27 rotated around the y-axis
The Volume generated when the region between the curves is rotated around the y - axis is 1216500335.46
Volume of the curves:
The volume of the solid formed by revolving the region bounded by the curve x = f(y) and the y-axis between y = c and y = d about the y-axis is given by
V = π ∫dc [f(y)]2dy.
The cross-section perpendicular to the axis of revolution has the form of a disk of radius R = f(y).
Given,
y = x³
Here we have to find the volume along to the y axis.
With limit as y = 0 and y = 27.
When we apply the values it can be written as,
=>\(V=\pi \int\limits^0_{27} {(x^3)^2} \, dx\)
\(\implies V=\pi \int\limits^0_{27} {(x^6)} \, dx\)
Apply the limits then we get,
\(\implies V = \pi [0^6 - (27)^6]\)
=> V = π [0 - 387420489]
=> V = π x 387420489
=> V = 1216500335.46
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Find parametric equation for the tangent line to the curve given by x(t)=e^-t cos(t), y(t) =e^-t sin(t), z(t)=e^-t and point p(1,0,1)
The parametric equation for the tangent line to the curve is x = 1 - t, y = t, z = 1 - t.
For this question,
The curve is given as
x(t)=e^-t cos(t),
y(t) =e^-t sin(t),
z(t)=e^-t
The point is at (1,0,1)
The vector equation for the curve is
r(t) = { x(t), y(t), z(t) }
Differentiate r(t) with respect to t,
x'(t) = -e^-t cos(t) + e^-t (-sin(t))
⇒ x'(t) = -e^-t cos(t) - e^-t sin(t)
⇒ x'(t) = -e^-t (cos(t) + sin(t))
y'(t) = - e^-t sin(t) + e^-t cos(t)
⇒ y'(t) = e^-t ((cos(t) - sin(t))
z'(t) = -e^-t
Then, r'(t) = { -e^-t (cos(t) + sin(t)), e^-t ((cos(t) - sin(t)), -e^-t }
The parameter value corresponding to (1,0,1) is t = 0. Putting in t=0 into r'(t) to solve for r'(t), we get
⇒ r'(t) = { -e^-0 (cos(0) + sin(0)), e^-0 ((cos(0) - sin(0)), -e^-0 }
⇒ r'(t) = { -1(1+0), 1(1-0), -1 }
⇒ r'(t) = { -1, 1, -1 }
The parametric equation for line through the point (x₀, y₀, z₀) and parallel to the direction vector <a, b, c > are
x = x₀+at
y = y₀+bt
z = z₀+ct
Now substituting the (x₀, y₀, z₀) as (1,0,1) and <a, b, c > into x, y and z, respectively to solve for the parametric equation of the tangent line to the curve, we get
x = 1 + (-1)t
⇒ x = 1 - t
y = 0 + (1)t
⇒ y = t
z = 1 + (-1)t
⇒ z = 1 - t
Hence we can conclude that the parametric equation for the tangent line to the curve is x = 1 - t, y = t, z = 1 - t.
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Calculate X in the figure below?
Answer:
x = 112°
Step-by-step explanation:
The missing two internal angles of the triangle measure:
\(180-126=54^{0}\)
\(180-58-54=68^{o}\)
then:
\(x=180-68=112^{o}\)
Hope this helps
Use Lagrange multipliers to find any extrema of the function subject to the constraint x2 + y2 ? 1. f(x, y) = e?xy/4
We can use the method of Lagrange multipliers to find the extrema of f(x, y) subject to the constraint x^2 + y^2 = 1. Let λ be the Lagrange multiplier.
We set up the following system of equations:
∇f(x, y) = λ∇g(x, y)
g(x, y) = x^2 + y^2 - 1
where ∇ is the gradient operator, and g(x, y) is the constraint function.
Taking the partial derivatives of f(x, y), we get:
∂f/∂x = (-1/4)e^(-xy/4)y
∂f/∂y = (-1/4)e^(-xy/4)x
Taking the partial derivatives of g(x, y), we get:
∂g/∂x = 2x
∂g/∂y = 2y
Setting up the system of equations, we get:
(-1/4)e^(-xy/4)y = 2λx
(-1/4)e^(-xy/4)x = 2λy
x^2 + y^2 - 1 = 0
We can solve for x and y from the first two equations:
x = (-1/2λ)e^(-xy/4)y
y = (-1/2λ)e^(-xy/4)x
Substituting these into the equation for g(x, y), we get:
(-1/4λ^2)e^(-xy/2)(x^2 + y^2) + 1 = 0
Substituting x^2 + y^2 = 1, we get:
(-1/4λ^2)e^(-xy/2) + 1 = 0
e^(-xy/2) = 4λ^2
Substituting this into the equations for x and y, we get:
x = (-1/2λ)(4λ^2)y = -2λy
y = (-1/2λ)(4λ^2)x = -2λx
Solving for λ, we get:
λ = ±1/2
Substituting λ = 1/2, we get:
x = -y
x^2 + y^2 = 1
Solving for x and y, we get:
x = -1/√2
y = 1/√2
Substituting λ = -1/2, we get:
x = y
x^2 + y^2 = 1
Solving for x and y, we get:
x = 1/√2
y = 1/√2
Therefore, the extrema of f(x, y) subject to the constraint x^2 + y^2 = 1 are:
f(-1/√2, 1/√2) = e^(1/8)
f(1/√2, 1/√2) = e^(1/8)
Both of these are local maxima of f(x, y) subject to the constraint x^2 + y^2 = 1.
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Figure out the pattern, fill in
the blank
Answer:
384
Step-by-step explanation:
The pattern is: the sum of the multiplication of the 2 numbers underneath the blank.
48 * 8 = 384
Hope this helps! Please tell me if I did something wrong, thanks!
PLEASE HELP
7x-3= -24 what is x and how do you find it?
Answer:
x = -3
Step-by-step explanation:
7x - 3 = -24 (Given)
7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)
7x = -21 (Simplified)
7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)
x = -3 (Simplified)
Therefore, x = -3.
Answer:
x= -3
Step-by-step explanation:
You do the opposite.
So,
-24 +3
= -21
-21/ 7
= -3
Therefore, the answer is -3
6 + x/3 = -5
Brainly
Answer:
\(\boxed {x = -33}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(6 + \frac{x}{3} = -5\)
-Multiply both sides by \(3\):
\(3 \times 6 + \frac{x}{3} = -5 \times 3\)
\(18 + x = -15\)
-Subtract \(18\) to both sides:
\(18 - 18 + x = -15 - 18\)
\(\boxed {x = -33}\)
Therefore, the value of \(x\) is \(-33\).