Answer:
Step-by-step explanation:
Remark
You could do this by converting the distance but the much more common way is to use kg and m.
Formula
PE = m * g * h
Givens
m = 40000 grams
m = 40000 grams * 1kg/1000 grams = 40 kg
g = 9.81
h = 35 m
Solution
PE = 40 * 9.81 * 35
PE = 13734 Joules
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Answer:
1809 cm³Step-by-step explanation:
Given the scale factor:
k = h/H = 1/3Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
The volumes are:
v = 67 cm³V = xRatio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:
v/x = k³67/x = (1/3)³x = 67*27x = 1809 cm³Jillian is given $15 to buy snacks and drinks. If Jillian spends 2/3 of her money on snacks and the rest on drinks, how much money does she spend on drinks, in dollars?
Answer:
$5
Step-by-step explanation:
The amount of money spent on snacks is
2/3 × $15= $10
15-10= 5
=$5
or
1/3 ×15
= 5
Trig homework. Find the two missing sides and write your answer as in simplified radical form.
Answer:
u = 8, v = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
u = 8
The triangle is right isosceles with legs congruent, so
v = 4[tex]\sqrt{2}[/tex]
PLZ HELP I DONT UNDERSYAND
cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.
A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters
(suggested by my sister plz help her ty)
Answer:
The answer is letter A and letter F.
Step-by-step explanation:
The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.
I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?
Answer:
8.3% probability
Step-by-step explanation:
(3) YELLOW ⇒ [tex]\frac{3}{12}[/tex] ⇒ 25%
(5) BLUE ⇒ [tex]\frac{5}{12}[/tex] ⇒ 41.6%
(4) RED ⇒ [tex]\frac{4}{12}[/tex] ⇒ 33.3%
║(12) IN TOTAL
[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] = 8.3%
PROBABILITY OF (1) RED, AND (1) YELLOW ⇒ 8.3% probability
330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport
Answer:
66
Step-by-step explanation:
330/1000 by 20(...)=66
How many degrees are in 3/4 of full turn
Answer:
270
Step-by-step explanation:
3/4x360
If each edge of this rectangular prism is doubled, how will it affect the volume of the prism?
A. The new volume will be 2 times the original volume.
B. The new volume will be 4 times the original volume.
C. The new volume will be 6 times the original volume.
D. The new volume will be 8 times the original volume.
PLEASE HELP ASAP ILL GIEV BRAINLIEST
Answer:
D. 8 times
Step-by-step explanation:
lmk if its right bc im not too confident </33
D. The new volume will be 8 times the original volume.
The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.
Find the length of BC .
72
54
40.5
108
value of n=72
Answer:
∆ABC~DEF
since the side of similar triangle are proportional
[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]
[tex] \frac{54}{9} = \frac{n}{12} [/tex]
6×12=n
n=72
-6 George has a choice of a $7,200, simple interest loan at 3.8% that he has to start paying back after 3 years, or a $7,500, annual compound interest loan at 3.5% that he also has to start paying back after 3 years. Which method should he choose, simple or compound, and how much less interest will he owe using that method? (8.1A, 8.1B, 8.1C, 8.16) F Compound interest; $79.03 G Simple interest; $79.03 H Compound interest; $5.42 J Simple interest; $5.42
Answer:
Compound interest; $5.42
Step-by-step explanation:
What’s 1+1 ?
A: 2
B: 69
C: 420
D: 3
Answer:
The answer to 1 + 1 is equal to 2.
A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?
Answer:
x=-31/4
Step-by-step explanation:
1/4 =x+8
Step 1: Flip the equation.
x+8=
1
4
Step 2: Subtract 8 from both sides.
x+8−8=
1
4
−8
Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi
Answer:
V = 9.33 π m³
Step-by-step explanation:
Given: The cone is 7 inches tall and has a diameter of 2
To find: How many cubic inches the cone can hold
Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².
Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area
(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:
volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.
In terms of pi V = 9.33 π m³
PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!
Answer:b
Step-by-step explanation:
Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?
Answer:
80% chance she will not be chosen
Step-by-step explanation:
the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.
I hope this is correct!
The probability that Aretha will not be chosen is 0.8.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Probability of choosing 2students =2/10
Probability of not choosing students = 1-2/10
= 8/10
= 0.8
Therefore, the probability that Aretha will not be chosen is 0.8.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Part K
You have established that circles A and B are similar. What conclusion can you make about any two given circles?
Answer:
i dont see a circle
Step-by-step explanation:
Answer:
All circles are similar.
Step-by-step explanation:
Because circles are the same shape, they are similar by nature.
What is the length of a diagonal of a cube with a side length of 3 cm? O 18 cm 0 27 cm 182 cm OW38 cm
Answer:
18 cm
Step-by-step explanation:
please mark this answer as brainliest
Answer:
18 cm
Step-by-step explanation:
The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.
Given: side x = 3 cm
Use the diagonal formula,
Diagonal of cube = 3–√x
Diagonal of cube = 3–√ × 3
We know that the value of √3 is 1.734
Therefore, the diagonal of a cube = 1.734 (3)
Diagonal of cube = 5.20 cm
Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.
DUE AT 12 SO LIKE HURRY
Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)
a
2 years
b
2.5 years
c
3 years
d
3.5 years
Answer:
2.5
Step-by-step explanation:
Answer: b. 2.5 years
Step-by-step explanation:
The formula for Interest is:
= principal × rate × time
Then, we slot in the values given which will be:
Interest = principal × rate × time
50 = 1000 × 2% × Time
50 = 1000 × 0.02 × Time
50 = 20 × Time
Time = 50/20
Time = 2.5 years
He has 2.5 years to pay back
Find the lowest common multiple (LCM) of 56 and 42
Answer:
168
Step-by-step explanation:
Five minutes is what percent of
an hour?
0.083 In decimal 8.3% in percentage
The volume of this figure is...
Answer:
27 in
Step-by-step explanation:
8 in+3 in+6 in+ 5 in+ 5in=27 in
If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.
Step-by-step explanation:
true
and the top and bottom are just circles
The statement is true whenever the cylinder is unrolled the result will be the rectangle.
What is a cylinder?The Cylinder is a solid geometry with right straight sides and has a circular cross-section.
If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.
Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.
To know more about cylinders follow
https://brainly.com/question/23935577
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PLS HELP! YOU WILL GET A GOOD DEED:*
Answer:
History test
Step-by-step explanation:
28 divided by 40 is 0.7 which equals 70 percent.
39 divided by 60 is 65 percent .
Answer:
Phil did better on his History test.
Step-by-step explanation:
In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.
28/40 = 0.7
In the Geography test, he scored 39/60. Convert this to decimal as well.
39/60 = 0.65.
Since 0.7 > 0.65, Phil did better on his history test.
ayo can yall help me plzzz
Answer:
D
Step-by-step explanation:
because there is no green
Answer:
D. Impossible
Step-by-step explanation:
There are no green folders so he can't pick a green one.
:)
What is the slope of a line that is parallel to the graph of 4x+2y=4
Answer:
The slope of a line that is parallel to the graph of 4x+2y=4 is -2
Please help. Will give brainliest.
Answer:
7.
radius [r]=3in
length of bold part of circle=(360-40°)/360×2πr
=8/9×2×π×3=16.755
8.
we have
x²-2=2-y²
x²+y²=4..........(1)
comparing above equation with
(x-h)²+(y-k)²=r²
we get
centre(h,k}=(0,0)
radius [r]=2 units
Find the area. 7 in. 5 in. 12 in.
Answer:
I believe its 47.5
Hope this helps!
Answer:
142.5
Step-by-step explanation:
1/2×5×(7+12)=142.5
How many numbers are from k to n? (Including k and n.)
*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!
Answer:
n - k + 1
Step-by-step explanation:
This is assuming (because you did not say) that n and k are integers and n is greater than k.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
At a certain middle school, there are 200 5th graders, 220 6th graders, 180 7th graders, and 150 8th graders. The Dean of Students chooses a scholar at random to help run Community Circle. What is the probability that a 7th grader is chosen?
Answer:
6/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
probability that a 7th grader is chosen = total number of 7th graders / total number of students
total number of 7th graders = 180
total number of students = 200 + 220 + 180 + 150 = 750
180 / 750
To transform to the simplest form. divide both the numerator and the denominator by 30
6 / 25