Answer:
(S-2πr^2)/ 2πr = h
Step-by-step explanation:
S = 2πrh + 2πr^2
Subtract 2 pi r^2 from each side
S-2πr^2 = 2πrh + 2πr^2 -2πr^2
S-2πr^2 = 2πrh
Divide each side by 2 pi r
(S-2πr^2)/ 2πr = 2πrh/2πr
(S-2πr^2)/ 2πr = h
It is given that,
→ S = 2πrh + 2πr²
Now subtract 2πr² from the both sides,
→ S - 2πr² = 2πrh + 2πr² - 2πr²
→ S - 2πr² = 2πrh
Then divide both sides by 2πr,
→ (S-2πr²)/2πr = 2πrh/2πr
→ (S-2πr²)/2πr = h
Hence, (S-2πr²)/2πr = h is the result.
A Solve the equation 2y2 – 7y – 4 = 0 . b Use your answer to part a to solve the equation 2(2x)2 _ 7(2x) _ 4 = 0. [5] 9
Answer:
[tex](a)\ y = 4\ or\ y = -\frac{1}{2}[/tex]
[tex](b)\ x = 2 \ or\ x = -\frac{1}{4}[/tex]
Step-by-step explanation:
Solving (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
Expand
[tex]2y^2 +y - 8y - 4 = 0[/tex]
Expand
[tex]y(2y + 1) -4(2y + 1) = 0[/tex]
Factor out 2y + 1
[tex](y -4)(2y + 1) = 0[/tex]
Split
[tex]y - 4 =0\ or\ 2y + 1 = 0[/tex]
Solve:
[tex]y = 4\ or\ y = -\frac{1}{2}[/tex]
Solving (b):
[tex]2(2x)^2 - 7(2x) - 4 = 0[/tex]
Compare the above with the equation in (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
We have:
[tex]2x = y[/tex]
So:
[tex]2x = 4 \ or\ 2x = -\frac{1}{2}[/tex]
Solve for x in both cases
[tex]x = 2 \ or\ x = -\frac{1}{4}[/tex]
Someone tell me where everyone is going right please !!
Answer:
1) -4(3-5x) >= –6x+9
–12+20x >= -6x+9
The choose (D)
2 ) The choose (A)
3) The choose (A) step 1
4) 1/2(n-4)-3=3-(2n+3)
n=2
The choose ( B)
5) 2.5 (5x-4)=10+4(1.5+0.5x)
x=2
The choose (C)
1. -12 + 20 > -6x + 9
2. simplify by combining like terms
3. step 1
4. n=2
5. 2
HELP! how do I find the degrees for this problem
Answer:
90°
Step-by-step explanation:
m∠x+m∠y+m∠z=180°
m∠x+m∠y+90=180
m∠x+m∠y=180-90=90°
26
Which defines a circle?
Answer:
a round figure that has no corners or vertices.
Step-by-step explanation:
Answer:
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.
Step-by-step explanation:
Center of a Circle
The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.
Here, point P is the center of the circle.
center of the circle center point
Semicircle:
A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.
Evaluate the expression, m" ifm = 8 and n = 3.
Answer:
512
Step-by-step explanation:
8^3 = 512
.................
Answer:
512
Step-by-step explanation:
Given
[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression
= 8³
= 8 × 8 × 8
= 64 × 8 = 512
Find f(-3) if f(x) = x^2
6
-9
9
-6
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?
Answer:
3*3*44.14$
That's the answer
Use a calculator
what are evidence that the himalayas mountains are still rising
Answer:
The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.
Step-by-step explanation:
we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.
Find a ratio equivalent to the given ratio 3/10
Answer:
6/20
Step-by-step explanation:
3/10*2/2=6/20
hope it helped, please mark me brainliest.
How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows
Answer:
2850
Step-by-step explanation:
1+2+3+4+5+6+7...74+75
just add up all the numbers from 1 to 75
solve the following problems
Answer:
135°
Step-by-step explanation:
∠AOB = ∠COB = 90°
∠BOK = 45°
90 + 45 = 135°
Given statements:
If a shape is a rhombus, then the diagonals are perpendicular.
A square is a rhombus.
What is a logical conclusion from the given statements?
OA. The sides of a square are perpendicular.
OB. The diagonals of a square are perpendicular.
OC. A rhombus is a square.
OD. The diagonals of a square are not perpendicular.
Answer:
B
Step-by-step explanation:
hello there i have no clue how to graph this function, f (x) =3/2 (2) ^x
I have a lot of algebra problems. Someone help me even with this one please!
Answer:
60
Step-by-step explanation:
Subsitute the number if large vehicles
5x + 10(50) = 800
5x + 500 = 800
5x =300
X =60
Answer:
60
Step-by-step explanation:
Substitute y = 50 into the equation and solve for x
5x + 10(50) = 800 , that is
5x + 500 = 800 ( subtract 500 from both sides )
5x = 300 ( divide both sides by 5 )
x = 60
That is 60 small vehicles were washed in total
Which polynomial function has a leading coefficient of 3 and roots 4, I, and 2, all with multiplicity 1? Of(x) = 3(x + 4)(x - 1)(x - 2) O f(x) = (x - 3)(x + 4)(x - 1)(x - 2) f(x) = (x - 3)(x + 4)(x - 1)(x + 1)(x - 2) O f(x) = 3(x + 4)(x - 1)(x + 1)(x - 2) N
Note: There must be -4 instead of 4 otherwise all options are incorrect.
Given:
A polynomial function has a leading coefficient of 3 and roots -4, 1, and 2, all with multiplicity 1.
To find:
The polynomial function.
Solution:
The general polynomial function is defined as:
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
Where, a is the leading coefficient, [tex]c_1,c_2,...,c_n[/tex] are the zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.
It is given that a polynomial function has a leading coefficient of 3 and roots 4, 1, and 2, all with multiplicity 1. So, the polynomial function is defined as:
[tex]P(x)=3(x-(-4))^1(x-1)^1(x-2)^1[/tex]
[tex]P(x)=3(x+4)(x-1)(x-2)[/tex]
Therefore, the correct option is A.
Find the highest common factor (HCF) for 36, 84 and 108
Answer:
Check your question one time
Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.
Answer:
Step-by-step explanation:
H
A petting zoo gives out large buckets of healthy popcorn snacks for visitors to feed to the animals. what fraction of the snack is left in the bucket after a cow eats 1/3, a goose eats 1/12, and a goat eats 2/9?
Answer:
13/36 is left
Step-by-step explanation:
cow- 1/3 = 12/36
goose- 1/12 = 3/36
goat= 2/9 = 8/36
12 + 3 + 8 = 23/36
23/36 is consumed...
13/36 is left
The fraction of the snack left in the bucket will be 13/36.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:
cow- 1/3 = 12/36goose- 1/12 = 3/36goat= 2/9 = 8/36The amount consumed is:-
( 12/ 36 )+ (3 / 36 ) +( 8 / 36 ) = 23/36
So the amount left will be calculated as:-
Amount left = 1 - ( 23 / 36 )
Amount left = ( 36 - 23 ) / 36
Amount left = 13 / 36
Therefore fraction of the snack left in the bucket will be 13/36.
To know more about fractions follow
https://brainly.com/question/78672
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__1. What is the other term for Q3?
2. What measure of position is divided into four equal parts?
3. How many equal parts is the quartile divided into?
4. How many percentile is equivalent to Q1?
5. What is the other term for Median?
_6. What is the equivalence of D2 to Percentile?
7. What measure of position is divided into 10 equal parts?
_8. What measure of position is divided into 100 equal parts?
9. What is the decile equivalence of P80?
10. What quartile is equivalent to P75?
Answer:
1. The third quartile
2. The quartile
3. Four
4. 25
5. The second quartile, Q₂
6. 20th percentile
7. Decile
8. Percentile
9. D₈
10. The third quartile, Q₃
Step-by-step explanation:
1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median
2. The measure of position divided into four equal parts is the quartile
3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts
4. Q₁, which is the first quartile is equivalent to the 25th percentile
5. The other term for the median is the second quartile, Q₂
6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile
7. The decile, D, divides a given data into 10 equal parts
8. The percentile divides a given data into 100 equal parts
9. The decile equivalent to P80, which is the 80th percentile, is D₈
10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃
find the highest common factor and lowest common multiple of 152 and 266
Draw a factor tree for each
Answer:
the highest common factor of 152 and 266 is 38 and the lowest common multiple is 1064
Answer:
Explanation is in the attachment
hope it is helpful to you
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (6, – 4).
Find the equation of the line that is perpendicular to this line and passes through the point (6, - 4).
Answer:
a). y = 7x - 46 b). y = -1/7x - 22/7
Step-by-step explanation:
a). y = 7x + b
-4 = 7(6) + b
-4 = 42 + b
-46 = b
y = 7x - 46
b). y = -1/7x + b
-4 = -1/7(6) + b
-4 = -6/7 + b
-22/7 = b
y = -1/7x - 22/7
Select all of the equations below that are equivalent to:
w + 13 = –8
Answer:
w= -21
Step-by-step explanation:
What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]
A)
[-6 -3]
[6 9]
B)
[-6 -3]
[-2 -7]
C)
[-4 1]
[-2 -7]
Answer:
I think that ans is A.....
through: (4,- 4), perp. to y = -4x - 2
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population
You go out to lunch with some friends. Your lunch came to $9.76. If you want to leave a 15% tip, how much will you pay in total?
Answer:
1.47
Step-by-step explanation:
9.76/10=10% = 0.976 round to 0.98
5%=0.97/2 = 0.49
add them = 1.47 tip
what is lockdown
what is lockdown
Answer:
lockdown is a restriction policy for people or community to stay where they are, usually due to specific risks to themselves or to others if they can move and interact freely.
lockdown is when a country or a state closes and prevent entry or exit from one state or country to another in order to avoid the spread of for example a disease.
Ava’s gross pay is $2,500 per month. Her deductions include the following:
Federal income tax $290
State income tax $85
Social Security $112
Medicare $35
What is Ava’s net pay each month?
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
0.07p
0.93
1.07
7.000
HELP PLS SMb!
Answer:
0.07.
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
