Solution :
Given :
Height of the tower , h = 45 m
Weight of the weather vane, mg = 190 N
So the potential energy possessed by the weather vane is given by
E = m x g x h
where, E is potential energy
m is mass
g is acceleration due to gravity (taken as 10 m/s2)
h is height
Therefore,
E = m x g x h
E = (mg) x h
E = 190 x 45
E = 8550 J
worth a brainliest I need help on a and b!! I won't be accepting any ridiculous answers and if you do answer something stupid like "I can't read it. Sorry. Too small." Or "idk haha" I won't hesitate to spam all of your answers with the same response you gave me, taking your points...
Answer:
For answer a,
the equation is -1 - 5
this equals -6
From -1 to -6 is 5
A.) The difference is 5
For answer b,
the equation is -7 - (-3)
There are two minus signs by the -3 so that means to turn those two signs into a plus sign
- 7 + 3
Start at -7 and move to the right 3
You will end up at -4
B.) The difference is 3
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Joey built a model sailboat that is similar to his real sailboat. The triangular sail on
his real boat has a base of 25 feet. If the height of the sail on his model boat is 12
inches and the base is 15 inches, what is the height of the sail on his real boat?
Answer:
31.25
Step-by-step explanation:
25/12=2.083333
15 x 2.0833333=31.24999999995
round up to get 31.25
The height of the sail on his real boat is 20 feet.
We require the height of the sail on the real boat, H.
Let h be the height of sail on the model boat = 12 inches, B = base of sail on the real boat = 25 feet and b = base of sail on model boat = 15 inches.
By similar triangles,
H/h = B/b
H = Bh/b
Substituting the values of the variables into the equation, we have
H = Bh/b
H = 25 feet × 12 inches/15 inches
H = 25 feet × 4/5
H = 5 feet × 4
H = 20 feet
So, the height of the sail on his real boat is 20 feet.
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Simplify this expression using the distributive property.
3.1(x + 1) + 4(x – 2.3)
What is the expression in its simplest form?
3.1x + 3.1 + 4x – 9.2
0.9x + 9.2
7.1x – 6.1
12.4x + 6.1
Answer:
7.1x−6.1
Step-by-step explanation:
Distribute:
=(3.1)(x)+(3.1)(1)+(4)(x)+(4)(−2.3)
=3.1x+3.1+4x+−9.2
Combine Like Terms:
=3.1x+3.1+4x+−9.2
=(3.1x+4x)+(3.1+−9.2)
=7.1x+−6.1
Answer:
7.1x - 6.1
Step-by-step explanation:
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24
2/3x − 1/5x = x −1 equals what? I'm confused on this
Answer:
x=15/8
Step-by-step explanation:
help again:)!
Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room?
Answer:
$235.2
Step-by-step explanation:
$210 * (100%+12%)
= $210 * 112%
= $210 * 1.12
= $235.2
Hope this helped!
Answer:
The final answer is $470.40.
Step-by-step explanation:
210 x 2 = $420
To find the final price including tax, we must find 12% of $420.
420 x 0.12 = $50.4
Now, we must finalize the price by adding the tax to the price without tax.
$420 + $50.4 = $470.40
Therefore, the final cost for the hotel room is $470.40.
Hope this helps you out! :)
The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side
Answer:
First side=7
Second side =28
Third side =8
explanation:
Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches
Second side is 4 times the first side
Third side is 1 inch longer the first
Let's call the first side x
Then equation for the perimeter of the triangle is given by
x+4x+x+1=43
We solve for x
6x+1=43
6x=43-1
6x=42
x=42/6
x=7
Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8
Find the volume of the composite figure.
4 ft
8 ft
12 ft
8 ft
14 ft
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
¯\_(ツ)_/¯
How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form
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[tex] \cot(teetha) = - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The cotangent in simplest form is -1.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
cos θ = √2 / 2
We know that from trigonometric ratio,
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]
So, the adjacent side = √2 and the hypotenuse side = 2.
The other side of the right triangle can be found by Pythagoras theorem,
[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]
⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]
⇒ [tex]opposite^{2} = 4-2[/tex]
⇒ [tex]opposite = \sqrt{2}[/tex]
Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]
⇒ [tex]cot \theta = 1[/tex]
Since cot θ < 0, [tex]cot \theta = - 1[/tex]
Hence we can conclude that the cotangent in simplest form is -1.
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Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
. Divide the circumference by the ant length in meters. About how many ants would make a trail around the Earth? Write the standard form, and scientific notation.
Please help me....Could you answer these 2 questions correctly?
Answer:
A
Step-by-step explanation:
for the two of them, the first answer is the answer
Answer:
#1 - First option: y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)
y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
6.
The candle factory makes 225 candles per day. The candles are
sold in boxes of 5. How many boxes of candles does the
factory make each day? ** YOU MUST SHOW WORK EVEN ON
MULTIPLE CHOICE!!
A 45
B. 220
C. 450
D. 1125
A
B
D
First, you have to divide the candles by 5.
225/5 = 45
That's it, so you get your answer 45!!!!
1, 2, 3, or 4?
i need this ASAP!!
will give brainliest and a thanks to fast answers
Answer:
Step-by-step explanation:
-10 since +5-15 =-10 so 2
Which fractions are equivalent to -0.3? Select ALL that apply.
Answer:[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
A bird travels 200 meters in 50 seconds. What is its average speed?
Answer:
4 meters per second
Step-by-step explanation:
200 ÷ 50 = 4
Answer:
i have this question on my test so this is a life saver
Step-by-step explanation:
thanks
2/18 x 16
answer fast !!!!!!!!!!!!!!
In the figure, a||b , and both lines are intersected by transversal t. Complete the statements to prove that ∠2 and ∠8 are supplementary angles.
Menu Options
m∠2 = m∠7 ( )
m∠7 + m∠8 = 180° ( )
Answer:
Step-by-step explanation:
m∠2 ≅ m∠7 [Alternate exterior angles]
m∠7 + m∠8 = 180° [Linear pair theorem]
m∠2 + m∠8 = 180° [Substitution property]
∠2 and ∠8 are supplementary [Definition of supplementary angles]
My teacher gave me something wierd to answer but can you help? Plz!!!!
The question is what organ affected you and your family and how
What additional information is needed to show that ABC 2 ADEF by ASA?
A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF
Answer:
AB≈DE
then, in triangle ABC&in triangle DEF
angle CAB =angle FDE
side AB= side DE
angle ABC= angle FED
So, triangle ATC≈ triangle DEF (A.S.A)
What is the probability, P, of an event that is certain to occur?
P=
Answer:
1
Step-by-step explanation:
which numberline model represents the expression -4.5+(-3.5)
Answer:
-4.5
Step-by-step explanation:
The number line represents the expression -4.5 + (-3.5) which equals -8 and it is given below.
We have,
To represent the expression -4.5 + (-3.5) on a number line model, start by placing a point at -4.5 on the number line.
Then, we move to the left by a distance of 3.5 units, representing the addition of -3.5.
Now,
-4.5 + (-3.5) = -8
The representation of the expression -4.5 + (-3.5) on a number line is given below.
Thus,
The number line represents the expression -4.5 + (-3.5) which equals -8.
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what is always true about a line that Slants downward from left to right select all that apply help plz
Answer:
A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.
Step-by-step explanation:
Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo
Answer:
Step-by-step explanation:
(3^2)^2*(10^3)^2= 8.1*10^7
Broken down to
81*1000000= 81,000,000
Answer:
Step-by-step explanation:
(3²)² is 9², and (10³)² is 1000² so its 9² x 1000² or 9000² or 81 million, 81000000.
Hope this helps ;D
What is 480 divided by 60
Answer:
8
Step-by-step explanation:
The given number 480 divided by 60 equals 8.
The division process involves successive subtraction of the divisor from the dividend until the remainder becomes less than the divisor.
To 480 divided by 60, to perform this division by dividing 480 by 60, resulting in a quotient of 8.
Division is an arithmetic operation that separates a number into equal groups, in this case, 480 is divided into 60 groups of equal size, and each group contains 8 items.
Dividing 480 by 60 can also be represented as 480 ÷ 60 = 8.
Hence, divide the given number 480 by 60 is equal to 8.
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The moon is at a distance of 384000km from the earth and its
path around the earth is nearly circular. Find the circumference
of the path described by the moon in one complete revolution
about the earth. (π = 3.14)
Step-by-step explanation:
As this path will be nearly circular which gives us that the distance between the earth and the moon acts as the radius for that respective circular path. ... Hence, the circumference of the path described by the moon in one complete revolution is 2,41,152 km.
Step-by-step explanation:
Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half that of a photon.
mark upper one as brainliest
.....
so hope u understood
.....s
Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half th
...djs
jwjwat of a photon.
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Solve the equation for y. 2x−14y=1
Answer:
y = 1/7x + -1/14
Step-by-step explanation:
2x−14y+−2x=1+−2x
−14y=−2x+1
−14y /−14 = −2x+1 /−14
4. Mariana receives a $20 gift card for
downloading music and wants to
determine how many songs she can
purchase. Each downloaded song costs
$1.29
a.
Let m represents the number of songs
downloaded. Write an inequality that
represents this given situation?
b. What is the maximum number of songs
Mariana can download?
Answer:
inequality- 1.29m <20
maximum number of songs- 15 songs
Step-by-step explanation:
For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.
Answer:
c
Step-by-step explanation:
Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190
Answer:
It is D (-23, -7, 5, 9, 190)
Step-by-step explanation:
:)