We want to find the moon's gravitational acceleration.
With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2
We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:
p(t) = (-g/2)*t^2 + H
In this case, we know that a feather falls 81.25cm in one second.
First, we can define H = 0 (because we can put the zero of the position where we want to)
Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:
p(1s) = -0.8125 m = (-g/2)*(1s)^2
Where the negative sign comes because the feather "falls" and we define the negative position as below.
Also notice that we did a change of units from centimeters to meters, by knowing that:
100cm = 1m
then:
81.25cm = 0.8125m
Now we just need to solve:
-0.8125 m = (-g/2)*(1s)^2
0.8125 m = (g/2)*(1s)^2
2*0.8125 m = (g)*1s^2
1.625 m = g*1s^2
(1.625 m)/(1 s^2) = g
We then can conclude that the moon's gravitational acceleration is:
g = 1.625 m/s^2
If you want to learn more,, you can read:
https://brainly.com/question/3009841
how many units of meters make a kilometer?
Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.
(Please help me)
Answer:
1 7/12 cups
Step-by-step explanation:
1/2 x 3 1/6 = 1/2 x 19/6 = 19/12 or 1 7/12
For 1 he uses half cup
For 3 1/6 of the same recipe
He would use:-1/2*3 1/6
19/12 cup of vinegar
=1 7/12(Answer)
y / 4 + 8 = 22 Answer?
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56
Two similar solids have a scale factor of 3:4. What is the ratio of their areas?
27:64
9:16
6:8
3:4
9:16
area =scale factor squared
i need help with this please
Answer:
diameter = 24 yards
Step-by-step explanation:
C = π·d
75.36 = 3.14d
d = 75.36/3.14
d = 24
Find the median of the data set.
{28,36,78,22,65,38,49,36}
Answer:
37 because 37 was in the middle of all these value when placed dorm smallest ro biggest
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Locus of a shape.
Here, the left movement is in x direction and vertical or up movement is in the y direction.
so we get as,
A(1,-2) ==> 1 towards left => 0
and 3 units up => 1
hence the new co-ordinates are A(0,1)
hence, A(0,1) is correct option
0.051x40(0.5+0.01)x40 using distributive property
Answer:
41.616
Step-by-step explanation:
what is 2/4 + 1/4 + 1/4
Answer:
4/4 or 1
Step-by-step explanation:
You can convert these fractions into decimals if decimals are easier for you to work with:
2/4 = .50 or 50
1/4 = .25 or 25
.50 + .25 + .25 = 1.00
I need the answer pls
Answer:
Mean = 25, Median = 21, Mode = 38, Range = 23
Step-by-step explanation:
sort from smallest to greatest
15, 18, 19, 21, 26, 38, 38
mean = [tex]\frac{sum}{# of terms}[/tex] = [tex]\frac{175}{7}[/tex] = 25
median = middle = 21
mode = more than 1 of the same # = 38
Range = largest - smallest = 38-15 = 23
1. Given the lines shown here, what are two possible equations for this system of equations?
Answer:
i just need help pasing 5th grade can you help by giving me a link so i can get answers to quistions pls
Step-by-step explanation:
f(x)=4x^2-9x-13 young quadratic formula!
Answer:
x=13/4 or -1
Step-by-step explanation:
factorize the fraction
(4x^2+4x)(-13x-13)
4x(x+1) -13(x+1)
(4x-13)(x+1)
x=13/4 or x=1
I guess
Can someone help me please?
Answer:
2. 216cm3
3. 748.75
Step-by-step explanation:
Cube v=Bh
To get Base area 9cm x 4cm=36cm2
36cm2 x 6cm=216cm3
3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?
Answer:
$380
Step-by-step explanation:
add the money then add the other numbers
Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
Hep yep help helphelp
Answer:
pretty sure it's A
Step-by-step explanation:
cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.
Solve the inequality. Graph the solution. −8≤2/5(k−2) The solution is .
Answer:
Step-by-step explanation:
Multiply both sides by 5(k - 2)
-8*5(k - 2) ≤2 Combine -8 and 5
-40 (k - 2) ≤2 Remove the brackets
-40k + 80 ≤2 Subtract 80 from both sides
-40k ≤ -78 Here's the trick part. Pay attention. Divide by - 40
k ≥ - 78 /- 40
k ≥ 1.95
Did you see what happened? The ≤ operation turned into ≥ That always happens when dividing by a minus or multiplying by a minus or if you change the side where literal coefficient is.
PLEASE HELP ASAP!!!!!!! I DONT HAVE MUCH TIME! 15 POINTS❗️
Answer:
negative slope, y= -x+2
Step-by-step explanation:
choose the correct letter
Answer:
I would say A
Step-by-step explanation:
If eight people share some pizza and get three slices each, how many slices would six people get ?
Answer:
18
Step-by-step explanation:
You can forget about how many people their our in whole and focus on 6 x the amount they get, which is 3.
Answer:
4
Step-by-step explanation:
8*3=24 so there are 24 slices
24/6=4
so 6 people get 4 slices each
the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.
use 3.14 for pi.
round your answer to the nearest tenth.
Answer:
110
Step-by-step explanation:
really Gregg gift vg6
20 is what percent
of 57?
Answer:
20 is 35.0877193% of 57
Step-by-step explanation:
Answer:
35.09
Step-by-step explanation: Hope this helps!
A rectangular prism has a length of 2 feet a height of 18 feet and a width of 20 feet What is its volume, in cubic feet
Answer:
720 ft³
Step-by-step explanation:
volume is length × width× height
2×20×18 = 720
Need help asap show your work
To find the volume we use an equation:
volume = length x width x height
Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.
So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.
volume = 4.5 x 4.5 x 4.5
Which will get you an answer of 91.125 inches cubed
[tex]91.125in^{3}[/tex]
Hope this helps :)
What is 1/2 of 8 what is 1/3 of 12
Answer:
Half of 8 is 4 and one third of 12 is 4
Step-by-step explanation:
I hope I answered your question
URGENT PLS HELP: If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? (ANSWER FOR 30 POINTS)
Answer:
37.45'
Step-by-step explanation:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
1. Solve for xº. 52°
can someone help me please
Answer:
x=38°
Step-by-step explanation:
x° and 52 make up a right angle, which is 90°, so for an equation you can do
x+52=90
subtract 52 on both sides and you get
x=38
HELPP ME PLEASE!!!
(don’t answer if you don’t know/for points,or i’ll report you.)
Answer:
4) -15 + (3)
Step-by-step explanation:
1: -9-(-9) = -9-9 = 0
2: -2-(6) = -2-6 = -8
3: 15 + (-7) = 15 - 7 = 8
4: -15 + (-3) = -15-3 = -18
-18 is the smallest value
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?