The area of the wings of the model is 100000 square centimeters
How to determine the model area of the wings?The given parameters are:
Scale factor, k = 1/2
Actual area of wings, A = 40 square meters
The model area is calculated as
Model area = Actual area * k^2
This gives
Model area = 40 * (1/2)^2
Evaluate
Model area = 10 square meters
Convert square meters to square centimeters
Model area = 10 * 10000 square centimeters
Evaluate
Model area = 100000 square centimeters
Hence, the area of the wings of the model is 100000 square centimeters
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give: ∠BDE ≅ ∠CDE and BD ≅ CD.
Prove ∠ABD ≅ ∠ACD
3) [tex]\angle ADB[/tex] and [tex]\angle BDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)
4) [tex]\angle ADC[/tex] and [tex]\angle CDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)
5) [tex]\angle ADB \cong \angle ADC[/tex] (supplements of congruent angles are congruent)
6) [tex]\triangle ADB \cong \triangle ADC[/tex] (SAS)
7) [tex]\angle ABD \cong \angle ACD[/tex] (CPCTC)
For question 1-8 calculate the surface area. If necessary round to the nearest hundredth
Surface area = 400 unit square
Surface area = 1100 unit square
Surface area = 1100 unit square
Surface area = 2400 unit square
How to determine the surface area
The first figure is a cuboid;
Surface area of a cuboid = 2lw+2lh+2hw
L = 9
W = 11
h = 4
Surface area = 2( 9 × 11) + 2(9 × 4) + 2( 4× 11)
Surface area = 2(99) + 2(36) + 2(44)
Surface area = 198 + 72 + 88
Surface area = 400 unit square
Surface area of a triangular prism = Area of top + area of base
Area of the top = 1/ 2 b × h
Area = 1/2 × 4 × 8
Area = 16 unit square
Area of base = length × width
Area = 4× 4
Area = 16 unit square
Surface area = 16 + 16
Surface area = 1100 unit square
Surface area of a cylinder = 2πrh + 2πr² = 2 ( 3. 412 × 7. 5 × 15) + 2 ( 3. 141× 7. 5 × 7.5)
Surface area = 706. 95 + 353. 48
Surface area = 1100 unit square
Surface area of a cone =πr(r+ √h² + r2)
Surface area = [tex]3. 142 * 15 ( 15 + \sqrt{10^2 +34^2 }[/tex]
Surface area = [tex]47. 13 * 50. 44[/tex]
Surface area = 2400 unit square
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A dog gave birth to 9 puppies, of which 2 are brindle. What is the ratio of brindle puppies to non-brindled puppies?
Answer:
2:7
Step-by-step explanation:
If 2 of the puppies are brindle that leaves 7 that are not out of the nine making the ratio 2:7.
If a fair coin is tossed four times, what is the probability of it landing heads up at least three times
The probability of it landing heads up at least three times is 1/4.
According to the statement
We have a given that the coin is tossed 4 times And we have to find the probability of it landing heads up at least three times.
So, we know that the
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
So, According to the statement
Coin is tossed 4 times and we have to probability of find heads three times it means n = 3.
To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin.
Thus there are only 4 outcomes which have three heads.
The probability is 4/16 = 1/4.
So, The probability of it landing heads up at least three times is 1/4.
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The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?
Anyone is here
Answer:
1083 seats
Step-by-step explanation:
this is an arithmetic sequence :
an = an-1 + c
in our case
a1 = 10 (10 seats in the first row)
a2 = a1 + 1 = 10 + 1 = 11
a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12
an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n
a38 = a1 + 37 = 10 + 37 = 47 seats.
altogether this means the sum of the arithmetic sequence of a1 to a38.
the general sum of an arithmetic sequence from a1 to an is
n×(a1 + an)/2
in our case
38×(10 + 47)/2 = 19×57 = 1083 seats
Recently, the stock market took big swings up and down. A survey of 969 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily
A survey of 969 adult investors asked how often they tracked their portfolio. The probability that an adult investor tracks his or her portfolio daily is 0.238.
From the table it is clear that the number of responses daily by the adult investors is 231.
What is probability?Probability is the ration of the number of possible value to the total value.
Here the number of daily response by the adult investors = 231
The total adult investors = 969
Hence, the The probability that an adult investor tracks his or her portfolio daily = 231/969 = 0.238.
Therefore, in the total number of 969 adult investors, the probability that the investors response daily is 0.238.
Disclaimer: The question is incomplete. The following is the correct question.
Question: Recently, the stock market took big swings up and down. A survey of 969 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily
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Jerome solved the equation below by graphing. log subscript 2 baseline x log subscript 2 baseline (x minus 2) = 3
x = 4 would be the solution of the given problem.
I can't speak to the first part of this question, as I don't totally have context for what they're asking, but we can solve for x using one of the laws of logarithms, namely:
log.m + log.n = log.mn
Using this law, we can combine and rewrite our initial equation as
log(x^2- x) = 3
Remember that logarithms are simply another way of writing exponents. The logarithm is just another way of writing the fact . Keeping that in mind, we can express our logarithm in terms of exponents as
log(x^2- x) = 3 --> x^2- 2x = 8
2³ = 8, so we can replace the left side of our equation with 8 to get
x^2 - 2x - 8 =0
(x-4)(x+2) = 0
Hence x = 4 0r -2. As x cannot be negative so it would be 4.
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The formula m =1/2(a+b) gives the mean M of two numbers a and b
a.express a in terms of m and b
b.hence find a when m=19 and
b=23
Answer:
a = 2m - b , a = 15
Step-by-step explanation:
(a)
m = [tex]\frac{1}{2}[/tex] (a + b) ← multiply both sides by 2 to clear the fraction
2m = a + b ( subtract b from both sides )
2m - b = a
(b)
when m = 19 and b = 23 , then
a = 2(19) - 23 = 38 - 23 = 15
a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.
a. To express a in terms of m and b, we can rearrange the mean formula:
m = (1/2)(a + b)
Now, we'll solve for 'a':
Multiply both sides by 2 to eliminate the fraction:
2m = a + b
Subtract 'b' from both sides:
2m - b = a
So, 'a' in terms of m and b is given by: a = 2m - b.
b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:
a = 2m - b
a = 2(19) - 23
a = 38 - 23
a = 15
So, when m = 19 and b = 23, the value of 'a' is 15.
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What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
x<3
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
(–10 + 8x) < 6x – 4
8x –6x < –4 + 10
2x < 6
x < 3
Describe the steps you would take to solve the given literal equation for m as shown.
For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .
Power RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
The question gives: [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex] and from the previous equation, you should find [tex]m=\frac{kt^2}{4\pi ^2}[/tex].
STEP 1 - Applying the power 2 on both sides of the equation [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex].
[tex]t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}[/tex]
STEP 2 - Rewriting the equation [tex]t^2=4\pi ^2*\frac{m}{k}[/tex] as a function of the variable m .
[tex]t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}[/tex]
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Answer:
1. divide both sides of the equation by 2pi
2. square both sides of the equation
3. use the rule to simplify a fraction to a power
4. multiply both sides of the equation by k
Step-by-step explanation:
edg '22
What divided by 4 equals 9/4
( 9/4= Divided by 4 )
Answer
16/9
Step-by-step explanation:
I don't know if this is right or not and I'm sry if its wrong
but 16/9 divided by 4 = 9/4
If point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
Answer:
f(4) = 5
Step-by-step explanation:
Think about it this way
a point with an x value of 4,
this x value is put into the function,
then the function outputted a y value (or value) of 5.
So, we can name this function f(x)
Then, we let x = 4,
then the output for f(4) = 5
Answer: f(4) = 5
Step-by-step explanation:
If the point (4, 5) is on the graph of a function, this means that when you input 4 you get an output of 5.
Inputs are usually shown with the x-coordinate, and outputs are usually shown with the y-coordinate.
This means that (4, 5) is an input of 4 for an output of 5.
Please help with these 3 questions
Answer:
dbbStep-by-step explanation:
Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.
1. Solving trianglesThe Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.
both b) and c)
2. Finding an angleThe Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.
The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.
There is no Tangent Law.
3. Use of trigonometryTrigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.
Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)
chegg Based on the graph of the general solution to the differential equation dy over dx equals 2 times x minus 2 times y comma which of the following statements is true
The statement which is true is the slopes are all positive in quadrant I.
Given the differential equation is dy/dx=2x-2y
A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.
Given dy/dx=2x-2y
now slope=2x-2y
Along x-axis, y=0.
So, slope=2x≠0.
Since it depends upon x hence the slope along the y-axis are not horizontal.
Along y-axis, x=0.
So, slope=-2y≠0.
Since the slope along the x-axis are also not horizontal.
In quadrant I
x,y≥0
So, dy/dx≥0
Hence the slopes are all positive in quadrant I.
In quadrant IV,
x≥0,y≤0
so, dy/dx is not always positive.
This, the slope are not all positive in quadrant IV.
Hence, the slope are all positive in quadrant I for the differential equation dy/dx=2x-2y.
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!
Answer:
b
Step-by-step explanation:
b shows direct variation because we can clearly tell that the slope of the graph is 1/2. The graph is also linear, and it crosses the origin (0,0).
a: This graph can be represented as y=2, and that is not a direct variation.
b: Above explanation. This graph is a direct variation.
c: This graph can be represented as x=-8, and that is not a direct variation.
d: This graph has the slope, but it does not cross the origin, so it is not a direct variation.
Answer:
Graph b
Step-by-step explanation:
Direct variation means "y varies directly as x”:
Direct variation equation:
[tex]y=kx[/tex]
where k is the (non-zero) constant of variation.
Note, therefore, that a direct variation equation passes through the origin, as when x = 0:
[tex]\implies y=k(0) \implies y=0[/tex]
Graph a
y does not change as x varies.
Therefore this graph does not model a direct variation.
Graph b
As x gets bigger, so does y. As x gets smaller, so does y.
The line passes through the origin (0, 0).
Therefore this graph models a direct variation.
Graph c
x does not change as y varies.
Therefore this graph does not model a direct variation.
Graph d
As x gets bigger, so does y. As x gets smaller, so does y.
However, the line does not pass through the origin (0, 0).
Therefore this graph does not model a direct variation.
Determine the perimeter of the figure.
Answer:
[tex]\huge\boxed{\sf 7x + 10\ cm}[/tex]
Step-by-step explanation:
Perimeter:Sum of all sides of a figure is the perimeter of the figure.Perimeter of the figure:= 5 + 2x + 2x + 5 + 3x
Combine like terms
= 2x + 2x + 3x + 5 + 5
= 7x + 10 cm
[tex]\rule[225]{225}{2}[/tex]
Answer:
7x + 10
Step-by-step explanation:
Perimeter is the sum of all the sides together, the distance around a shape.
3x + 5 + 2x + 2x + 5
Organize so the variables are on one side
3x + 2x + 2x + 5 + 5
Combine like terms:
7x + 10
Your answer would be: 7x + 10
I hope it helps! Have a great day!
bren~
A square piece of paper measures 20
centimeters on each side. Four equally-
sized circles are going to be cut out from
the paper. What is the largest possible
area of ONE of the circles?
The largest possible area of one of the circles would be 314. 2 cm²
Area of a circleIt is important to note that the formula for finding the area of a circle is given as;
Area = [tex]\pi r^2[/tex]
From the information given, we have the sides of the square to have a value of 20cm
Also note that the measure of the sides of the square is the size of the diameter of the circle
But we need to find the radius
radius = diameter/2
radius = 20/ 2 = 10cm
Substitute value of radius into the formula for area
Area = 3. 142 × 10^2
Area = 3. 142 × 10 × 10
Area = 314. 2 cm²
The area of the circle is 314. 2cm^2
Thus, the largest possible area of one of the circles would be 314. 2 cm²
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find the value of x for which the fraction 4x +9/7x
Answer:
x = 3
Step-by-step explanation:
Here ,
4x + 9 =7x
--> 4x - 7x = -9
--> -3x = -9
--> ≠ x = -9/3
--> x = 3
A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.
show your work
The width of the freezer is 2.25ft
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V = lwh
Given the following
length l = 8feet
w is the width
height h = 3feet
Substitute
54 = 8*3w
54 = 24w
w = 54/24
w = 2.25ft
Hence the width of the freezer is 2.25ft
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An aircraft is timetabled to travel from a to b. due to bad weather it flies from a to c then from c to b, where ab and cb make angle of 27 degree and 66 degree respectively with ab if [ab]= 220km calculate [ ab]
Answer:240.5
Step-by-step explanation:
Angle C = 87°(calculated)
AB=C
AC=220=b
Sine laws c\sin87=220\66
c=240.5
GOOD AFTERNOON BRAINLIESTS! Please help me with this question! TYSM!
- xXIndieKidXx
Answer:
Domain: All real numbers ; Range: y> -3
Step-by-step explanation:
If two sides of a triangle have lengths of 8 in and 12 in what are the possible lengths
Answer:
The possible length of the third side is greater that 4ft and less that 20 ft
4<x<20
Elias and niko are polishing the silver at the heritage museum. elias could polish all the silver himself in 40 minutes. that task would take niko 50 minutes to complete alone. which table is filled in correctly and could be used to determine how long it would take if elias and niko polished the silver together? a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has startfraction 1 over 40 endfraction, t, and startfraction 1 over 40 endfraction t. the second row shows niko and has, startfraction 1 over 50 endfraction, t, and startfraction 1 over 50 endfraction t. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, startfraction 1 over 40 endfraction, and startfraction 1 over 40 endfraction r. the second row shows niko and has, r, startfraction 1 over 50 endfraction, and startfraction 1 over 50 endfraction r. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has 40, t, and 40 t. the second row shows niko and has, 50, t, and 50 t . a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, 40, and 40 r. the second row shows niko and has, r 50, and 50 r .
The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
How to interpret Mathematical Tables?The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
The rate is the unit rate.
Now, since Elias polishes all of the silver himself in 40 minutes, his rate is 1/40.
Similarly, Niko’s rate would be 1/50.
Their time is the same because they are working at the same time, and as such we can write that as t. Then, the part of the silver polished would be the rate * time, or:
Thus;
Part polished by Elias: ¹/₄₀ * t
Part Polished by Niko: ¹/₅₀ * t
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Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of them have?
Solving a system of equations we can see:
Sutopa has $73.20Maneet has $97.60Kim has $115.60How much money each of them has?
First, let's define the variables:
S = money that Sutopa has.M = money that Maneet has.K = money that Kim has.We can write the system of equations:
S = (3/4)*M
M = K - $18
S + M + K = $286.40
First, we can rewrite the second equation to get:
K = M + $18
Now we can replace the first and second equations into the third one:
(3/4)*M + M + (M + $18) = $286.40
Now we can solve this for M:
M*(1 + 1 + 3/4) = $286.40 - $18
M = $268.40*(4/11) = $97.60
Now we can find the other two values:
K = M + $18 = $97.60 + $18 = $115.60
S = (3/4)*M = (3/4)*$97.60 = $73.20
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Construct a tangent to a circle through a point outside the circle using the construction tool. insert a screenshot of the construction here. alternatively, construct a tangent to a circle through a point outside the circle by hand using a compass and straightedge. leave all circle and arc markings. (10 points)
Tangent of a circle is a line which touches the circle at a point from outside the circle.
Given a tangent to a circle through a point outside the circle.
We have to draw a tangent to a circle from point outside the circle.
Tangent of a circle is a line which touches the circle at a point from outside the circle.. The point at which tangent touches the circle is known as point of contact.The radius of the circle and tangent are perprndicukar to each other at the point of contact. There cannot be any tangent to the circle through a point inside the circle. There can be one tangent to a point on the circle. The steps of drawing a tangent to a circle are as under:
1) Draw a circle with the radius neede with center O.
2) Join center of the circle O and any point P on the circle OP is the radius of the circle.
3) Draw a line perpendicular to radius OP through point P which is the intersection point of tangent and circle.
This line is the tangent to the circle at P.
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Answer:
igu
you could crop out question n use pic :)
What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
5 cm
4 cm
3 cm
Answer:
v =L× b×h
=5× 4×3
=60 cubic centimeter
find the only one digit number that is both a square number and a cubic number
Answer:
the only one digit number that is cube and square would be 1
Step-by-step explanation:
because 1 x1 = 1 and 1×1×1= 1
no other one digit number is both a square number and cubic number :)
hope it helps please let me know if you need more help :)
find the missing length indicated 144 and 60
The missing length in the right triangle as given in the task content is; 156.
What is the missing length indicated?It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
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the current value of a new car is 18,000. the car will depreciate 15% per year over the next 5 year. which exponential equation models this situation
The exponential equation that models this situation is:
[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.For this problem, the parameters are:
A(0) = 18000, r = 0.15.
Hence the equation for the value of the car over the next 5 years is:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 18000(1 - 0.15)^t[/tex]
[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].
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The perimeter of a square is 40 inches.
What is the area, in square inches, of the square?
The area of the square is 100 inches square
What is perimeter of a square?The perimeter of a square is calculated using the formula;
Perimeter = 4 a
Where
a is the side
It is also important to know that the area of a square is calculated using the formula;
Area = a²
Where a represents the side of the square
Let's find the side by substituting the value of the perimeter in the formula, we have
40 = 4a
a = 40/4
a = 10 inches
Then , let's find the area by substituting the value of the side
Area = 10 ²
Area = 10 × 10
Area = 100 inches square
Thus, the area of the square is 100 inches square
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