Answer:
The force that must be applied on the small piston has a magnitude of 500 newtons.
Step-by-step explanation:
By Pascal's Principle, we know that pressure within any point of a closed hydraulic system is the same. Hence, the hydraulic machine can be described by the following model:
[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)
Where:
[tex]F_{1}, F_{2}[/tex] - Forces applied on the small and large pistons, in newtons.
[tex]A_{1}, A_{2}[/tex] - Areas of the small and large pistons, in square meters.
If we know that [tex]A_{1} = 0.5\,m^{2}[/tex], [tex]A_{2} = 1\,m^{2}[/tex] and [tex]F_{2} = 1000\,N[/tex], then the force to be applied on the small piston is:
[tex]F_{1} = \left(\frac{A_{1}}{A_{2}} \right)\cdot F_{2}[/tex]
[tex]F_{1} = \left(\frac{0.5\,m^{2}}{1\,m^{2}} \right)\cdot (1000\,N)[/tex]
[tex]F_{1} = 500\,N[/tex]
The force that must be applied on the small piston has a magnitude of 500 newtons.
which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2
Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
A man is now 3 times as old as his son. In 10 years time, the sum of their ages will be 76.
How old was the man when his son was born?
Answer:
28
Step-by-step explanation:
A man is now 3 times as old as his son.
m = 3s
In 10 years time, the sum of their ages will be 76
(m + 10) + (s + 10) = 76
Subsitute for m = 3s
(3s + 10) + (s + 10) = 76
4s + 20 = 76
4s = 56
s = 14
m = 3s = 14 * 3
m = 42
------------------------
How old was the man when his son was born?
m - s = 42 - 14
m - s = 28
How do I solve this
if a recipe calls for 0.8 cups of water per cup of water per 5/8 cups of milk. What is the unit rate per cup of milk ( with correct labels )
Answer: 1.28 cups of water per cup of milk
Step-by-step explanation:
0.8 divided by 5/8 equals 1.28
verified by my teacher :)
Help,anyone can help me do quetion
Answer:
B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle
Need help with this :(
Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
Solve ay+b = cx for y
Answer:
y=cx-b/a
Step-by-step explanation:
ay+b=cx
ay=cx-b
y=cx-b/a
what is the range of 20,15,10,5
Answer:
15
Step-by-step explanation:
Since range is the difference between the highest valued character and the smallest
20-5=15
Help plz I dont get it
Jameson middle school give bottles of water to teachers and students who are going on a field trio. The school orders 500 bottles of water. They plan to give 35 bottles of water to teacher . They orderd at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work
Answer: Almost 232 students going on the field trip.
Step-by-step explanation:
Let x be the number of students going on the field trip.
As per given,
[tex]2x+35 \leq500[/tex], where [tex]x\geq2[/tex].
To solve the inequality , subtract 35 from both sides
[tex]2x\leq465\\\\x\leq232.5[/tex] [divide both sides by 2]
i.e Almost 232 students going on the field trip.
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
Substitute the given side lengths into the equation for the Pythagorean Theorem.
Answer:
15 is the missing side (hypotenuse)h
Step-by-step explanation:
A^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
What is the equation of the line
convert the decimal number 356 to a Quinary number
Answer : Yes the answer to your question is 2411.
Explanation : how I got the answer
To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:
To convert integer 356 to quinary, follow these steps:
Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent quinary number.
356 / 5 = 71 with remainder 1
71 / 5 = 14 with remainder 1
14 / 5 = 2 with remainder 4
2 / 5 = 0 with remainder 2
Here is the answer to 356 decimal to quinary number:
2411
Find the area of the shaded region
Answer:
Area of the shades region = 244.6 ft²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle ABCD- Area of the right angle triangle DEC
Area of the rectangle = Length × width
= 29.8 × 13
= 387.4 ft²
By applying Pythagoras theorem in the right triangle DEC,
(Hypotenuse)² = (leg 1)² + (leg 2)²
CD² = DE² + EC²
(29.8)² = DE² + (28)²
888.04 = DE² + 784
DE² = 888.04 - 784
DE = 10.2 ft
Area of ΔDEC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10.2)(28)[/tex]
= 142.8 ft²
Area of the shades region = 387.4 - 142.8
= 244.6 ft²
PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.
Answer:
Step-by-step explanation:
h × b × [tex]\frac{1}{2}[/tex] = A (this is the formula)
2 × 3 × [tex]\frac{1}{2}[/tex] = 3m²
I believe you forgot to mention some information...but hope this helps...
There are 120 students in class 7. It is known that
2/3
out of them like Maths, out of which 35
are girls. Also, out of total students,
3/5
are boys. (3)
(a) What is the number of girls in the class?
(b) How many students like Maths?
(c) How many boys like Maths?
Multiply total students by 2/3 to find how many like math:
Like math = 120 x 2/3 = 240/3 = 80 total students like math
Multiply total students by 3/5 to find number of boys:
120 x 3/5 = 360/5 = 72 boys
A) number of girls = total students - boys = 120 -72 = 48 girls
B) from above 80 students like math
C) number of boys that like math = number of students that like math minus girls that like math: 80- 35 = 35 boys like math
helppppopoop help help help
Answer:
160
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
BRAINLY OPPORTUNITY
ANSWER ASAP
If f(x) = -9x – 9 and g(x)= x-9,
what is (fºg)(10)?
Answer:
-18
Step-by-step explanation:
fog(x) = -9(x-9) -9
=> f o g (10) = -9(10-9)-9 = -9-9 = -18
Can 17, 9, and 11 be the side lengths of a triangle?
Answer:
No it cant
Step-by-step explanation:
You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.
Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
(x, y) ----> (x + 2, y - 3) please help this is my final
slide right 2 and down 3
OPTION B is the correct answer.
4) Determine the solution. Show your work.
17 + x2 = 42
================================================
Work Shown:
17 + x^2 = 42
x^2 = 42-17
x^2 = 25
x = sqrt(25) or x = -sqrt(25)
x = 5 or x = -5
What is the volume of this rectangular prism?
5 cm
3 cm
4 cm
A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3
Answer:
The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60[tex]cm^{3}[/tex]
Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
select all of the following statements that are true
Answer:
1234 no statement is there
What is the domain of the function of y=√x+8 -7
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU
Mandy gets 6 out of every 8 questions on a test correct. If she gets 27 questions correct, how many questions are on the test?
Answer:
36
Step-by-step explanation:
She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4
so we can say the ratio multiplied by the number of questions equals the correct answers
while x is the number of questions:
solve for x
3/4 * x = 27
x = 27 / (2/3) = 36
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse
Answer: 2000.25 ft
Step-by-step explanation:
Given
Height of lighthouse [tex]h=175\ ft[/tex]
Angle of elevation [tex]\theta=5^{\circ}[/tex]
Suppose, you are x feet away from lighthouse
From the figure, we can write
[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]
Thus, the ship is 2000.25 ft away from the light-house
Please help me! I need to get this done but don't know how!
The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?
a. height: 19 in.
depth: 5 in.
c. height: 19 in.
depth: 7 in.
b. height: 21 in.
depth: 5 in.
d. height: 21 in.
depth: 7 in.
Answer:
Step-by-step explanation:
your answer would be b
