The given question is incomplete. The complete question is:
A force of 90 Newton's is applied to a [tex]20cm^2[/tex] surface. The force applied is then increased by 5 Newton's and the surface is increased by [tex]5cm^2[/tex]. What percentage does the outcome decrease by
Answer: The outcome decreases by 15.5 %
Step-by-step explanation:
Pressure is defined as the ratio of force per unit area.
[tex]Pressure=\frac{Force}{Area}[/tex]
Case 1: [tex]P_1=\frac{90N}{20cm^2}=4.5Ncm^{-2}[/tex]
Case 2: [tex]P_2=\frac{95N}{25cm^2}=3.8Ncm^{-2}[/tex]
Decrease in pressure = [tex]P_1-P_2[/tex] = [tex](4.5-3.8) Ncm^{-2}=0.7Ncm^{-2}[/tex]
Percentage decrease = [tex]\frac{0.7}{4.5}\times 100\%=15.5\%[/tex]
Thus the outcome decreases by 15.5 %
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = [tex]\frac{1}{2}[/tex] × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
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The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field
Answer:
L= 15
W= 25
Step-by-step explanation:
w(w-10) =375
w^2-10w-375=0
w=25 or -15
Length=25-10 =15
The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let L and W be the length and width of the rectangle.
The area of the rectangular field is 375 square yards
W = 10 + L
As we know,
Area = LW
375 = L(10 + L)
375 = 10L + L²
L²+ 10L - 375 = 0
After solving the above quadratic equation:
L = 15 yards
L = -25 (length cannot be negative)
Plug L in the equation W = 10 + L to get the width of the rectangular field
W = 10 + 15
W = 25 yards
Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.
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If you need more Spad
Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide
Answer:
Just convert the number to the third digit and the answer will be b
find the value of the second in this sequence
34 __ 84 109 134
Answer:
the answer is 59
Step-by-step explanation:
your welcome
185.30 divided by 357.25
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
The playing surface of a football field is 263 feet long and 116 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run? Round to the nearest whole number.
Answer:
263 ft
Step-by-step explanation:
Because the field is 263 feet long he is not running wide
it is already rounded hope this helps
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
What is the length of s (the height of one of the triangular faces)?
Round your answer to the nearest tenth.
Answer:
s = 16.2 units
Step-by-step explanation:
s^2 = 15^2 + 6^2 (6 is 1/2 of 12)
s^2 = 225 + 36
s^2 = 261
s = 16.16
I don't understand this please help me!
a shopkeeper marks the price of a television 30% above the cost price and allow 20% discount . the purchase price of television is Rs 12000. if a customer pays Rs 14102.40 for the TV including vat ,find the vat percent. {Ans 13%}
Answer:
Step-by-step explanation:
cost = 12,000
list price = 1.30×12,000 = 15,600
discounted price = 0.80×15,600 = 12,480
purchase price = (1+VAT)×12,480 = 14,102.40
1+VAT = 14,102.40/12,480 = 1.13
VAT = 0.13 = 13%
PLEAAASE HELPP that would be very much appreciated
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
solve the system of equations 6x+3y=12 and 5x+y=7
Answer:
x = 1; y = 2
Step-by-step explanation:
To find x:
Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.
Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.
To find y:
You can substitute 1 for x in either equation. I will use (5x+y=7).
Substitute the 1 for x: 5(1)+y=7
Simplify: 5+y=7
Put like terms on the same side by subtracting 5 from both sides: y=2
Check:
6(1) + 3(2) = 12
6 + 6 = 12
12 = 12 - this is right
5(1) + (2) = 7
5 + 2 = 7
7 = 7 - this is right
PLEASE ANSWER QUICKLY!
A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?
Answer:
The top one
Step-by-step explanation:
find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6
what formula is applied, I mean what method
Answer:
B
Step-by-step explanation:
We have the equation:
[tex]x^2+10x+24=0[/tex]
We can factor:
[tex](x+6)(x+4)=0[/tex]
By the Zero Product Property:
[tex]x+6=0\text{ or } x+4=0[/tex]
Solve:
[tex]x=-6\text{ or } x=-4[/tex]
-4 is greater than -6, so -4 is the greater root.
Our answer is B.
suppose you create a graph of the cost function, c=20n + 500 of a new bookstore, and you also graph the revenue function, r=25n, where n is the number of books sold. On your graph, would the point n=150 in the loss section, the profit section, or the break-even section.
Answer:
Loss section
Step-by-step explanation:
Given
[tex]c = 20n + 500[/tex] -- cost
[tex]r = 25n[/tex] -- revenue
Required
Determine where n = 150 is
To do this, we substitute 150 for n in the given functions
[tex]c = 20n + 500[/tex]
[tex]c = 20 * 150 + 500[/tex]
[tex]c = 3500[/tex]
[tex]r = 25n[/tex]
[tex]r = 25 * 150[/tex]
[tex]r = 3750[/tex]
The above shows that the revenue is greater than cost for n = 150.
This implies that, n = 15o is the loss section.
Answer: profit section :)
Decrease £2155.45 by 18.5% then rounded to 2dp
Answer:
18.5%/10×100
185
2155-185
1970
now pls round off cause I don't understand 2dp
The measure of an angle is 44°. What is the measure of its complementary angle?
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
1) What is the the product of (3x-2)(5 x2 -3x+1)
First multiply the second ( ) with 3x then multiply it with -2 and add them together So
(3x-2)(5x^2-3x+1)
=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)
=15x^3-9x^2+3x -10x^2+6x-2
=15x^3-19x^2+9x-2
Done!
Find the missing angle measurments geometry
Answer:
?????????
Step-by-step explanation:
wheres the equation
3579
How do I write it out to solve the problem
Answer:
three thousand five hundred seventy nine
Step-by-step explanation:
The outputs of function are its domain true or false?
There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the students play sports?
Answer:
80%
Step-by-step explanation:
80÷64= 0.8
0.8 = 80%
You just need to divide the number of students that play sports by the total number of students and you'll get your answer
Which point is located at (8, 6)? A B C D
Answer: (8, 6) is located at Area A.
Step-by-step explanation:
The first number inside the parentheses can be found on the x-axis. The second on the y-axis.
Pls help I’ll brainlest ASAP
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.
Ms. Miller pays her electric and internet bill with South Central Cooperative. Her bill is due on February 22nd, and the balance is (-$156.65). Does she owe any money? Why or why not? Explain your reasoning.
Answer: yes
Step-by-step explanation:
yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.
The answer to my question that is all I want to know!!
Answer:
118.71$
Step-by-step explanation:
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?
Please show work