We are given:
Depth of water column = 8 cm
g = 10 N/kg and ρ (density) = 1000 kg / m³
Finding the pressure at the bottom:
We know that the formula for pressure at the bottom of a fluid is:
P = P₀ + hρg [where P₀ is the atmospheric pressure]
P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)
P = P₀ + 800 N/m²
we know that the atmospheric pressure, in N/m² is approximately 10⁵
P = (10⁵ + 800) N/m² [N/m² is also commonly called 'Pascals']
which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is
Find the surface area of the pyramid represented by the net. 5.5 cm 5 cm 5 cm
Answer: I think the answer is 25 units squared
Step-by-step explanation:
A= l*w
A= 5*5
A=25^2
Answer: I think it's 80
Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.
A.3x + 14 = 65
B.3x - 14 = 65
C.65 - 3x = -14
D.14 - 3x = 65
Answer:
i believe the answer should be
Step-by-step explanation:
3x+14=65 which is telling you that 3 times a number which is unknown so we will call it x and add 14 equals 65. when you work it out you should get the total which is 65. so the way you work that out is you separate everything without an x to the right side of the equation which looks like 3x=65-14 then work it out subtract 14 from 65 and you get 3x=51 )which is total spent on 3 games. Then you divide 3x/3= 51/3 then the 3s cancel our so you have x=51/3 and when you work that out you get your answer x=17 which is the cost per game.
you don’t have to tell me the answer i just dk what to do for this problem
Answ either
Step-by-step explanation:
It Says Minute At The End
Answer:
1.368
Step-by-step explanation: 1.14x1.2=1.368
3-1/3n< 6;n>-9 What is n???
Answer:
i don't understand your question, but i'll try to the best of my ability.
the answer to that is:
-8.33333333333
Step-by-step explanation:
let me break this down into a way you might understand.
1: 3-1=2
2: 2 divided by 3=0.66666666666.
3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.
if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.
you're welcome though, (i suppose..) and have a great day.
Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above
What is the value of y in the diagram?
y
x
X-20
Answer:
x+x-20 = 180-90
2x-20 = 90
2x. =90+20
2x. =110
x. =55
y+55. =90
y. =90-55
y. =35
1 in : 3 ft the center is 45 feet long and 28 feet wide
Answer:
Step-by-step explanation:
License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?
Answer:
6,500,000
Step-by-step explanation:
Here, we first need to find all the possible selections for the code.
Then, we need to find the number of options for each one of these selections.
We have, 2 letters followed by 4 single digits.
There are 26 letters
There are 10 single digits.
For the first letter, we have 26 options.
For the second letter, we have 25 options (because one is already taken, and we can repeat that)
And for each one of the numbers, we have 10 options (we can repeat the numbers)
The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:
C = 26*25*10*10*10*10 = 6,500,000
Please someone help me ?!?!?
Answer:
I believe it would be B. SAS
Step-by-step explanation:
You have two sides and one angle that are congruent in both
PLEASE HELP ME WITH THIS
Answer:
Plot your x,y points at (0,1) and (1,3)
Can someone please help me with this
Step-by-step explanation:
Therefore, 55+40+z=180
z=180-95
z=85
To get y,
z+y=180
85+y=180
y=95
A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis
Answer:
Mean Hypothesis is Mean values of the treatment and the control group is not equal
Step-by-step explanation:
The null hypothesis is mostly the problem statement.
Here the problem statement is
To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.
Thus, the null hypothesis is
H0 - Mean values of the treatment and the control group is not equal
Please help me solve!!
QUICK I NEED HELP!!! I'll mark brainliest!
Which is a statistical question that could have been asked to collect the data shown on the dot plot?
1.How many student's are in your school?
2.On what day in July is Independence Day?
3.How many televisions do the families in your neighborhood own?
4.What is the height of your classroom door?
Answer:
How many televisions do the families in your neighborhood own?
Answer:
Step-by-step explanation:
There is no dot plot so I can’t help
The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP
Answer:
14
Step-by-step explanation:
just did it (don't search up mr hands)
what is 713.49 written as a standard form
A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?
Answer:
k = 3
Step-by-step explanation:
Given
x² + y² + 6y - 4 = 0 ( add 4 to both sides )
x² + y² + 6y = 4
Using the method of completing the square
add ( half the coefficient of the y- term )² to both sides
x² + y² + 2(3)y + 9 = 4 + 9
x² + (y + 3)² = 13
with k = 3
find the value of x pls help
Answer:
x = 15°
Step-by-step explanation:
First Identify the angle of x by subtracting 180° - 120° = 60°
Always remember when you see a straight line the line measures 180°
So the angle of x = 60° but not the value of x so use the given equation to find the value of x
3x + 15 = 60°
3x - 15 = -15°
3x = 45
x = 15°
Marisa is buying a vase of red roses for Mother's day. The florist charges $12.00 for a vase Marisa selected plus $4.75 per rose. Determine an equation to represent the cost of the bouquet, C, in terms of the number of roses in the bouquet, r. If Marisa has saved $55 to get her Mother's Day bouquet, how many roses can she have the florist put in the vase?
Answer:
8 Roses
Step-by-step explanation:
Y = 15 + 4.50X
51 = 15 + 4.50X
51 - 15 = 4.50X
36 = 4.50 X
360 = 45x
360/45 = x
x = 8
I dont get this. please help
Answer:
Step-by-step explanation:
All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is
7(7 + x) = 8(8 + 13) and then solve the equation to find x:
49 + 7x = 168 and
7x = 119 so
x = 17.
Follow that pattern for each of your problems and you should be fine.
The present ages of Ritu and Nitu are in the ratio15:8. After 10 years, their ages will be in the ratio 5:3 . Find their present ages.
Answer:
60 : 32
Step-by-step explanation:
Let x = Their present ages
Ritu : Nitu = 15x : 8x
After 10 years, their ages will be in the ratio 5:3
In 10 years
15x + 10 : 8x + 10 = 5 : 3
15x + 10 / 8x + 10 = 5/3
Cross product
15x + 10 * 3 = 8x + 10 * 5
45x + 30 = 40x + 50
45x - 40x = 50 - 30
5x = 20
x = 20/5
x = 4
Ritu : Nitu = 15x : 8x
Ritu : Nitu = 15 * 4 : 8 * 4
= 60 : 32
Ritu : Nitu = 60 : 32
help me please this is urgent!
Answer:
D.
Step-by-step explanation: they can be different widths
Gayle's hourly wage is $ 8.50. Gayle will be getting a 4% increase in pay at the end of the month. What will be Gayle's hourly wage after her pay increase?
Answer:
10.50
Step-by-step explanation:
Answer:
4 x 8.50
100
= 0.34
8.50 - 0.34 = 8.16
Step-by-step explanation:
a percentage is always over 100 so i 4 percent of 8.50 which gave me 0.34
Dont forget we are only focused on on the increase so we gotta subtract to make it normal from the original number which gives u 8.16...
Note dont forget it said an hour so multipy it by 1 hour since it said one hour which stills gives u the same answer
sara spent $ 2.30 on sweets , $ 3.20 on a pencil and $ 9.15 on an excerise book . What steps would you use to find out much less than $ 15.00 sara spent
hey! i’ll give brainliest please help
Answer:
The 4th answer
Step-by-step explanation:
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
Enter the range of values for x:
B
15
2x - 10
С
48°
A
18
[?]
Enter
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form.
Answer:
[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
[tex]o=\sqrt{29^2-20^2}=21[/tex]
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
[tex]h=\sqrt{11^2+60^2}=61[/tex]
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]
Simplify:
[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]
what is the answer on this question
Your Answer..
V=10in³
Hope This Helps You
PLEASE HELP!!!
ABC maps the outline of a new park. What is the area of the park?
the multiple choice answers are in the photo
Answer:
[tex]Area = 10[/tex]
Step-by-step explanation:
Given
[tex]A = (2,1)[/tex]
[tex]B =(4,7)[/tex]
[tex]C =(6,3)[/tex]
Required
The area of the park
The outline is a triangle and as such, the area is calculated using:
[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]
This gives:
[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]
Using a calculator, we have:
[tex]Area = \frac{1}{2}|-20|[/tex]
Remove absolute bracket
[tex]Area = \frac{1}{2}*20[/tex]
[tex]Area = 10[/tex]