Answer:
24.625 feet
Step-by-step explanation:
The wingspan of the model airplane is given by the proportion equation
A = 24.625 inches
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the wingspan of the model airplane be A
Now , the equation will be
The wingspan of an airplane is 197 feet
For a scale of 5 inches equals 40 feet
So , the equation will be
5 : 40 : : A : 197
On simplifying the proportion , we get
5 / 40 = A / 197
Multiply by 197 on both sides of the equation , we get
A = ( 5 x 197 ) / 40
A = 985 / 40
A = 24.625 inches
Therefore, the value of A is 24.625 inches
Hence , the wingspan of airplane is 24.625 inches
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Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
what is the distance between points M(-3, 1)and N(7, -3)
Answer:
d = 2√29 units
Step-by-step explanation:
M(-3, 1)and N(7, -3)
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values.
d = √[(7 - (-3))² + (-3 - 1)²]
Simplify the parentheses.
d = √[(7 + 3)² + (-4)²]
d = √[(10)² + (-4)²]
Simplify the exponents
d = √[(100 + 16)]
Simplify the parentheses by adding.
d = √[116]
Simplify the brackets with the square root.
Since 116 is not a perfect square, we need to find two numbers that multiply to 116. One number must be a perfect square. The other must be a prime number.4 • 29 = 116. Therefore √4 • √29 = √116√4 = 2. Therefore 2√29 = √116d = 2√29 units
Hope this helps!
Cindy has a salary of $880 per week and is paid every two weeks. She has the following deductions from each paycheck: Federal income taxes: $195.82 State income taxes: $63.60 Insurance: $65.18 FICA: $134.64 Retirement plan: $176 What is Cindy's net income on each paycheck? Enter your answer as a number rounded to the nearest cent, such as: 150.12.
Answer:
244.80 If I'm not wrong.
Step-by-step explanation:
Add all of the deductions together and subtract them by 880
By using g00gle I found out that 195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now you subtract it by her salary down below:
880.00 - 635.24 = 244.76
244.80 or 245 if I'm not wrong
Cindy's net income on each paycheck will be $244.76.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Federal income taxes: $195.82
State income taxes: $63.60
Insurance: $65.18
FICA: $134.64
Retirement plan: $176
Add all of the deductions together;
195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now we will subtract it by her salary down below:
880.00 - 635.24 = 244.76
Hence, Cindy's net income on each paycheck will be $244.76.
Learn more about the unitary method;
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Confused and need help
First, reflect the triangle across x
Then translate the triangle 1 unit to the right and 9 units down
-5(6+x). Use the distributive property to evaluate each expression.
Answer:
-5x-30
I'm kinda tired rn so I just multiplied 5 with everything in the ()
If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?
Answer: The product of a b and c is 0.
Step-by-step explanation:
The given expression : [tex]2xy^{-2}{4xy^2}[/tex]
[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]
[tex]=8x^2y^0[/tex]
When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0
The product of a, b and c = [tex]a\times b \times c[/tex]
[tex]=8\times2\times0\\\\=0[/tex]
The product of a b and c is 0.
PLS HELP 100 POINTS!!!!!
Question 1 (1 point)
Saved
In which direction does an applied force move an object?
Question 1 options:
in the same direction as the force
independent of the force
in the opposite direction of the force
perpendicular to the force
Question 2 (1 point)
Which is not an example of work?
Question 2 options:
picking up a box off the floor
pushing a box across the floor
raising a barbell over your head
trying to push a rock that never moves
Question 3 (1 point)
A student pushes a 50-N box across the floor a distance of 15m. How much work was done to move the box?
Question 3 options:
750 J
75J
7500 J
no work was done
Question 4 (1 point)
If the simple machine reduces the amount of force, what must be increased? (Think of using an inclined plane)
Question 4 options:
the size of the simple machine
the distance over which the force is applied
the work the simple machine performs
the speed of the input force
Question 5 (1 point)
What is an input force?
Question 5 options:
the applied force on a system
the force a simple machine applies to an object
the force a person applies to a simple machine
the net force on a system
Question 6 (1 point)
A pair of scissors is which category of lever?
Question 6 options:
1st class
2nd class
3rd class
4th class
Question 7 (1 point)
A screw is an inclined plane wrapped around a flat, middle object.
Question 7 options:
True
False
Question 8 (1 point)
An example of a 3rd class lever is a
Question 8 options:
pair of scissors
pulley
pair of pliers
pair of tweezers
Question 9 (1 point)
Power is the rate at which work is done?
Question 9 options:
True
False
Question 10 (1 point)
The SI unit for power is
Question 10 options:
Newtons (N)
Celsius (C)
Watts (W)
Joules (J)
Question 11 (1 point)
A box resting on the top of a bookcase is an example of
Question 11 options:
work
nuclear energy
potential energy
kinetic energy
Question 12 (1 point)
The energy of position is kinetic energy.
Question 12 options:
True
False
Question 13 (1 point)
The energy of motion is kinetic energy.
Question 13 options:
True
False
Question 14 (1 point)
An object that is dropped has the most kinetic energy...
Question 14 options:
When it starts to fall
Just before it hits the ground
It does not have kinetic energy
Resting on the shelf
Question 15 (1 point)
An object resting on top of a building has the most potential energy...
Question 15 options:
Before it starts moving
When it stops moving
Just before it stops moving
Objects cannot have potential energy
Question 16 (6 points)
Match each word with its correct SI Unit or equation
Question 16 options:
Watts (W)
Newtons (N)
Displacement/Time
Celsius (C)
Distance/Time
Joules (J)
1.
Temperature
2.
Work
3.
Force
4.
Power
5.
Velocity
6.
Speed
Question 17 (1 point)
Atmosphere is the layer of gases that surround the Earth.
Question 17 options:
True
False
Question 18 (1 point)
The gas that makes up most of Earth's atmosphere is oxygen.
Question 18 options:
True
False
Question 19 (1 point)
High pressure brings clear, sunny skies, and calm weather. It is represented by H on the weather maps.
Question 19 options:
True
False
Question 20 (1 point)
Which clouds are fluffy, dense clouds composed of water droplets?
Question 20 options:
Stratus
Nimbus
Cirrus
Cumulus
Answer:
Question 1: in the same direction as the force
Question 2: trying to push a rock that never moves
Question 3: 750 J
Question 4: the distance over which the force is applied
Question 5: The force a person applies to a simple machine
Question 6: 1st Class
Question 7: True
Question 8: pair of tweezers
Question 9: True
Question 10: Watts (W)
Question 11: potential energy
Question 12: False
Question 13: True
Question 14: When it starts to fall
Question 15: Before it starts moving
Question 16: Power and watts
/force and newton
/Work and Joules
/Temperature and Celsius
/Speed and distance/time
/Velocity and displacement an time
Question 17: True
Question 18: False
Question 19: True
Question 20: Cumulus
Step-by-step explanation:
The force applied moves the object in the direction of the force. Suppose if the force is applied to the moving object in that case object moves in the direction of the stronger force. Thus, according to the given question the applied force moves the object in its direction
Work is when there is energy that is exerted throughout an object using force and action. Which displaces the measure of the force and the application of that specific action.
Given:
Force applied F = 50 N
Distance s = 15 m
Find:
Work done W
Computation:
Work done W = Force x distance
Work done W = 50 x 15
Work done W = 750 J
A Pair of tweezers is an example of a Third Class lever. The force is applied in the middle of the tweezers which causes a force at the tips of the tweezers. The fulcrum is where the two halves of the tweezers are joined together. Whereas a pair of scissors and a pair of pliers is an example of a first class lever.
Power is the rate of using energy or the rate of doing work. Basically, any units of energy (or work) and time can be used to generate a unit of power and can be computed as Work/time. Watt is the standard metric unit of power.
We can use a case scenario to illustrate what Power is. If you take a book and lift it a meter high, you will end up doing the same amount of work regardless of whether you lift the book slowly or quickly. However, you can increase your power which is the rate of doing work when you lift the book quickly.
Power (P) is the rate at which energy is transferred or converted. Thus, power equals work divided by time (P = W / t). The SI unit of power is the watt (W), in honor of Scottish inventor James Watt (1736 - 1819)
energy which a body possesses by virtue of being in motion is kinetic
Kinetic energy is when an object has the power to move, Potential energy would be when its resting on the shelf.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere. It contains the oxygen that we breath as well as other important gases such as nitrogen, carbon dioxide, water vapor, and ozone.
The permanent gases whose percentages do not change from day to day are nitrogen, oxygen and argon. Nitrogen accounts for 78% of the atmosphere, oxygen 21% and argon 0.9%. Gases like carbon dioxide, nitrous oxides, methane, and ozone are trace gases that account for about a tenth of one percent of the atmosphere.
Weather maps show these areas using a large “H” to areas bring fair weather with clear skies, while Low pressure brings stormy weather and clouds.
Cumulus clouds look like fluffy, white cotton balls in the sky. They are beautiful in sunsets, and their varying sizes and shapes can make them fun to observe! Stratus cloud often look like thin, white sheets covering the whole sky.
Did I do this correctly??
Answer:
yes
Step-by-step explanation:
A motorized car was sold to a little girl for $399.99. The salesperson's commission rate is 3.5%. How much did the salesperson earn in commission?
Answer:
14.00
Step-by-step explanation:
399.99x3.5%=14.00
The complement of an angle is 25°. What is the measure of the angle?
Group of answer choices
65°
75°
155°
165°
Answer:
If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees.
Log(x+4)=8
Please help I don’t understand it I will give brainliest
Which is the equation of a line perpendicular to y = 5x – 3?
Kylie is planning a ski trip. The equation C = 470 +299 models the relation between the cost in dollars, C, of the ski trip and the number of skiers,
Answer:
So what exactly is the question? bc it doesn't actually show a question
Step-by-step explanation:
divide 470 by 299 and then that should be your answer on the number of skiers
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Can someone please help me with this?
9514 1404 393
Answer:
162.46 square units
Step-by-step explanation:
The area of a sector of arc b (in radians) is ...
A = 1/2r²b
A = (1/2)(9.6²)(202·π/180) = 162.46 . . . square units
7 is 25% of what number? HELP WILL GOVE LOT POINTS
Answer:
28
Step-by-step explanation:
if 25% of X is 7, then that means (1/4)x =7
4*(1/4)x=7*4 = 1x=28
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
Which surveys would a sample be appropriate for? Mark all that apply.
A. Helen wants to know the favorite sport of adults in her town.
B. Caleb wants to know the type of music his current teachers like.
C. Jaclyn wants to know the average weight of her sisters' backpacks.
D. Kevin wants to know the most common way students get to school.
E. Roberto wants to know the average height of the people sitting at his table.
Answer:
a d
Step-by-step explanation:
Answer:
..............................
Step-by-step explanation:
surface area - multi step
Answer:
£208
Step-by-step explanation:
Given:
Height of solid box (h) = 20 cm
Width (w) = 80 cm
Length (l) = 10 cm
Cost of paint = £0.04 per cm²
Required:
Cost of painting the box
Solution:
✔️First, find the surface area of the box
Surface area = 2(l*w + l*h + w*h)
S.A = 2(10*80 + 10*20 + 80*20)
S.A = 2(800 + 200 + 1,600)
S.A = 2(2,600)
S.A = 5,200 cm²
✔️Find the cost of painting 5,200 cm² surface area of the box.
Cost of pianting 1 cm² = £0.04
Cost of painting 5,200 cm² = 5,200 × 0.04
Cost of painting the box = £208
The graph for the system of inequalities without the shading of its solution set is shown on the coordinate grid.
Answer:
C. Area 3Step-by-step explanation:
The first lineLine x - y > 5 ⇒ y < x - 5This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:
Area 3 and Area 4The second lineLine x + 2y < -6 ⇒ 2y < - x - 6 ⇒ y < -1/2x - 3This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:
Area 2 and Area 3Solution of the system is the intersection of the areas:
Area 3WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
Help me for brainlist
Answer:
D. Circumference/Diameter = π
hope this helps. good luck :)
Answer:
the fourth option
Step-by-step explanation:
the equation for circumference is C = [tex]\pi[/tex]d, so C/d = [tex]\pi[/tex]
can someone help me with this?
Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
1/5 ÷ 7 = ______________________________
Answer:
1/35
Step-by-step explanation:
1/5*7 = 1/35
(a) One ball is selected at random from the bag.
Write down the probability that it is numbered 8
(b) On another occasion, two balls are selected at random from the bag.
Find the probability that:
(i) the number on each ball is even,
(ii) the sum of the numbers on the balls is not more than 10.
Answer:
a) The probability is 1/5
bi) The probability each ball is even will be 2/5
bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25
(that's what I think it is)
To start a board game the player who rose to sixes gets to go first what is the probability that a buyer will roll to number cubes and get to sixes
Answer:
the probability in which the buyer would roll to get two sixes is 1 ÷ 36
Step-by-step explanation:
The computation of the probability in which the buyer would roll to get two sixes is shown below:
= 1 ÷ (6 × 6)
= 1 ÷ 36
Hence, the probability in which the buyer would roll to get two sixes is 1 ÷ 36
Please help!! I will give brainliest! Explain your answer
Answer:
DAC
Step-by-step explanation:
Since the sides of the quadrilateral are parallel, the opposing angles will equal to each other. Therefore, you can divide the parallelogram as two congruent triangles.
Hope this helped :)
Answer:
hunm well DCA?
Step-by-step explanation:
that's what I think
n is the middle integer of three consecutive positive integers.
The three integers are multiplied to give a product.
n is then added to the product.
Prove that the result is a cube number.
n must be used in your proof.
Your final line must consist of only,
= n^3
Answer :
[tex]\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}[/tex]
Step-by-step explanation:
Its given that n is the middle out of the three consecutive integers . So ,
The last integer will be :-
[tex]\sf\implies Last \ Integer \ = \ n - 1 [/tex]
The next Integer will be :-
[tex]\sf\implies Next \ Integer \ = \ n + 1 [/tex]
Now the Question says that the three integers are multipled to give a product . So that would be.
[tex]\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}[/tex]
Now thirdly it's given that n is added to the given integer . That would be ,
[tex]\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3} [/tex]
Here - n and +n gets cancelled. So we are ultimately left out with n³.
Hence the final number is a cube of some number.
The result is n³.
What are consecutive number?Numbers that appear in a particular order are known as consecutive numbers. Every pair of numbers has a difference of one. The mean and median of consecutive numbers are equal. In the event that n is a number, n, n+1, and n+2 would be consecutive numbers.
Given three consecutive positive integers,
and middle integer is n
the integer before n is (n - 1)
the integer after n is (n + 1)
product of three integer is
(n - 1) × n × (n + 1)
(n² - 1) × n
n³ - n
now add n in product
n³ - n + n
n³
Therefore, the result is n³.
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A contestant on a game show has 60 points. She answers a question correctly to win 30 points. The she
answers a question incorrectly and loses 55 points. What is the contestant's final score?
What’s the answer?
Answer:
30+15=45
45-25=20
The contestants final score is 20
Step-by-step explanation:
Answer:
25/5
Step-by-step explanation:
i really doubt in both of 'em