area of a circle is A=pir^2
so you use r as the radius of the circle of half the diameter
Can someone please help I need both of these questions like right now !
* if u do not know it please do not answer*
*Thanks you , have a good day/night/afternoon
Answer:
b a
Step-by-step explanation:
The sum of the 2nd and 3rd terms of an arithmetic sequence is 27 and the sum of the 4th and 5th terms is 77.
Find the common difference of the sequence.
Give your answer as a decimal.
Answer:
d = 12.5
Step-by-step explanation:
Second term = a + d
Third term = a + 2d
a + d + a + 2d = 27
2a + 3d = 27
Fourth term = a + 3d
Fifth term = a + 4d
a + 3d + a + 4d = 77
2a + 7d = 77
2a + 3d = 27 (1)
2a + 7d = 77 (2)
Subtract (1) from (2) to eliminate a
7d - 3d = 77 - 27
4d = 50
Divide both sides by 4
d = 50/4
= 12. 5
d = 12.5
Substitute d = 12.5 into (1)
2a + 3d = 27
2a + 3(12.5) = 27
2a + 37.5 = 27
2a = 27 - 37.5
2a = -10.5
a = -10.5 / 2
= -5.25
a = -5.25
The common difference of the sequence is 12.5.
Given that,
The sum of the 2nd and 3rd terms of an arithmetic sequence is 27,
And the sum of the 4th and 5th terms is 77.
We have to determine,
The common difference of the sequence?
According to the question,
Let d is the common difference of the sequence,
The second term to the arithmetic series is,
[tex]\rm Second \ term= a+d[/tex]
And the third term to the arithmetic series is,
[tex]\rm Third \ term= a+2d[/tex]
The sum of the second and third terms of the sequence is 27.
[tex]\rm Second \ term + third \ term = 27\\\\a+d + a+2d = 27\\\\2a + 3d = 27[/tex]
The fourth term to the arithmetic series is,
[tex]\rm fourth \ term= a+3d[/tex]
And the fifth term to the arithmetic series is,
[tex]\rm fifth \ term= a+4d[/tex]
The sum of the fourth and fifth terms of the sequence is 77.
[tex]\rm fourth\ term + fifth \ term = 77\\\\a+3d + a+4d = 77\\\\2a + 7d = 77[/tex]
On solving both the equations,
[tex]\rm 2a + 3d = 27\\\\2a + 7d = 77[/tex]
Subtract equation 1 from equation 2,
[tex]\rm 2a + 3d - (2a + 7d) = 27-77\\\\2a +3d -2a-7d = -50\\\\-4d = -50\\\\d = \dfarc{-50}{-4}\\\\d = \dfrac{25}{2}\\\\d = 12.5[/tex]
Hence, The required common difference of the sequence is 12.5.
For more details refer to the link given below.
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3.8. as a simplified percent
I NEED HELP ASAP! WILL GIVE BRAINLIEST
A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?
1 foot
2 feet
3 feet
4 feet
Answer:
1 foot
Step-by-step explanation:
The far above the water is the yellow mark is 1 foot.
Important information:A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. Calculation of feet:[tex]cos \frac{\pi}{3} = \frac{OB}{OA}\\\\ \frac{1}{2} = \frac{OB}{4}\\\\ OB = 2[/tex]
Now
A yellow mark above the water should be
= OB - OD
= 2 - 1
= 1 feet
Find out more information about the Water here:brainly.com/question/4381433?referrer=searchResults
someone help me... please show work
Answer:
x=5
Step-by-step explanation:
Set the 2 equations equal to each other and solve for x.
11x-28=7x-8
add 28 to both sides (-8+28=20)
11x=7x+20
subtract 7x from both sides (11x-7x=4x)
4x=20
divide both sides by 4 to isolate x (20/4=5)
x=5
Giovanni justifies whether the expression –4x – 8 is equivalent to Negative 2 (x + 1) minus 2 (x + 3) by letting x = 3 in both expressions. What is the value of each expression when x = 3?
Answer:
They are equivalent
Step-by-step explanation:
-4(3)= -12 -8 = -20
-2 (3+1)= -6-2 = -8
-2(3+3)= -6-6 = -12 -8+-12=-20
both equal -20.
Answer:
-20 -20
Step-by-step explanation:
i need help with this math question
Answer:
A. g(x) = 2∛xStep-by-step explanation:
Given
Function f(x) = ∛xThe transformation of f(x) is g(x)As we see on the graph the function g(x) is the stretched form of f(x) and there is no horizontal or vertical shift
So It is achieved as:
g(x) = kf(x), where k > 1Correct answer choice is
A. g(x) = 2∛x-3a+2b=-3
solve for a
Answer:
a = (3 + 2b) / 3
Step-by-step explanation:
1) Move 2b to the right.
-3a + 2b = -3
-3a = -3 - 2b
2) Leave only a on the left.
a = (-3 - 2b) / (-3)
a = -(3 + 2b) / (-3)
a = (3 + 2b) / 3
The whole number 330 is divisible by 2 3 5 6 10 and 11
Answer:
3,10,6
this is the answer
Thirteen less than eight times a number is three more than four times the number.
What is the number?
Answer:
Step-by-step explanation:
Let the number = x
8x - 13 = 4x + 3 Add 13
8x = 4x + 3 + 13 Combine
8x = 4x + 16 Subtract 4x
8x - 4x = 16 Combine
4x = 16 Divide by 4
x = 16/4
x = 4
factor the expression below 25x^2+20x+4
Answer: (5x + 2)(5x+2)
Step-by-step explanation: I just did a quiz with the same question
The factor of the given expression are (5x + 2)(5x+2)
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares is;
2(5x)(2) = 20x
Which means the given expression is a perfect square trinomial, and that it is the square of (5x+2).
25x^2 +20x +4
= (5x +2)^2
= (5x +2)(5x +2)
Here, we have a=5x, b=2.
To know more about an expression follow;
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Roger Roofing company wants to buy twenty eight
new boxes of supplies for their company. If each box
costs $98.79. How much will Roger Roofing
company's total bill be?
Two lines intersect to form two pairs of vertical angles. <1 with measure (5x + 7)° and <3 with measure (9x -21)° are vertical angles. <2 with measure (10x + 7y + 5)° and <4 are vertical angles. Find the values x and y and the measures of all four angles.
Answer:
dadadad
Step-by-step explanation:
An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall on the y-axis?
Answer:
5
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
What is the sale price of a plastic watch originally priced at $4.80 if the sale is 50%
Answer:
$2.40
Step-by-step explanation:
There is a 50% discount, so you do 50% of 4.80 which is 2.40
Then subtract 2.40 from 4.80
and you get 2.40
[tex].50*4.80=2.40[/tex]
[tex]4.80-2.40=2.40[/tex]
I hope that wasn't confusing.
Hope this helps! (✿◠‿◠)
The required price of a plastic watch in the sale is $2.40.
Given that,
to determine the sale price of a plastic watch originally priced at $4.80 if the sale is 50%.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A plastic watch was originally priced at $4.80.
After 50% the price is = 50% * 4.80
= 4.80 * 50 / 100
= 4.80 * 1/2
= $ 2.40
Thus, the required price of a plastic watch in the sale is $2.40.
Learn more about percentages here:
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10- 4 2/3 subtraction
Answer:
17/3
Step-by-step explanation:
or 5 2/3
Answer:
16/3 or 5 1/3
Step-by-step explanation:
keep switch flip the fractions
17X+1 +20x-14 = 90
find x
Answer:
x = 2.8
Step-by-step explanation:
17x+1+20x-14 = 90
Combine like terms.
37x-13 = 90
Add 13 on both sides.
37x-13 = 90
+13 +13
37x = 103
Divide both sides by 37.
37x = 103
/37 /37
x = 2.8
(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)
Hopefully this helps you!! Have an amazing day c:
The cooridinates of the point 3/10 of the way from A to B are? The given points are A(-3,-6), and B(12,4)
The length of a rectangle is 5 less than twice it's width. The perimeter is 26 meters. Find the deminsion of rectangle.PLease show me step by step
Answer:
Width = 6 m and lenght = 7 m
Step-by-step explanation:
Let x be the width of the rectangle.
lenght = 2x - 5
Perimeter means the addition of all sides of the rectangle.
Thus, x + x + 2x - 5 + 2x - 5 = 26
2x + 2x + 2x = 26 + 10
6x = 36, x= 6
Therefore, width is 6 m and lenght is 2 (6) -5 == 7 m
Hope it helps :)
Mark it as the brainliest answer pls :)
What is the number 0.00567 expressed in scientific notation? Group of answer choices 5.67 x 102 567 x 10-5 56.7 x 104 5.67 x 10-3
5.67x10^-3
can you also please mark me as brainliest?
Complete the point-slope equation of the line through (1,-1) and (5,2)
Answer:
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (5, 2)
m = [tex]\frac{2+1}{5-1}[/tex] = [tex]\frac{3}{4}[/tex]
using (a, b) = (1, - 1 ), then
y - (- 1) = [tex]\frac{3}{4}[/tex](x - 1) , that is
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
Is the figure an example of perpendicular lines? A. Yes, the lines intersect at a 90- degree angle B. Yes, the lines do not intersect at a 90-degree angle C. No, the lines intersect at a 90-degree angle D. No, the lines do not intersect at a 90-degree angle.
Answer:
it is B: yes the lines do not intersect at a 90 degree angle.
Step-by-step explanation:
if it intersected at a 90 degree angle, then it would have the 90 degree angle symbol and the figure would look like a cross, rather than an X shape.
here is an example of a figure that is perpendicular with a 90 degree angle:
3.8 as a simplified percent
Answer:
i think 38%
Step-by-step explanation:
URGENT
Look at △STU on this coordinate grid. Suppose that △S'T'U' is the result of a dilation of △STU with a scale factor of 2. What are the coordinates of point S'? *
Answer:
(4,2)
Step-by-step explanation:
THIS IS ASSUMING you are scaling it around 0,0
S is 2,1.
(x',y') = (2,1)
You want to find the coords with a scale factor of 2.
(x',y') = 2(2,1)
x',y' = 4,2
(4,2)
PLZ PLZ PLZ HELP ME :( IM CRYING RIGHT
Answer:
Step-by-step explanation:
x = 150
1/3 x = 50
x -20 = 30
x -10 = 140
Are u ok ????
Reflect across the y-axis: (x,y)
Answer:
(-x,y)
Step-by-step explanation:
Answer:
(-x y)
Step-by-step explanation:
do the math then it equals that there we go, plus I agree with the 1st answer well now I gonna do social studies
What is the GCF of g^3 an g^15
Answer:
The GCF of both is g^3
Step-by-step explanation:
Here, we are asked to give the greatest common factor of g^3 and g^15
In simpler terms we want to find that biggest term that could divide both values.
Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3
Find the distance between A (2.6) and N (5,10). Round to the nearest tenth, if necessary.
Answer:
5
Step-by-step explanation:
Multiply the following:
(-4x^5) (2x^6)
Answer:
-8x^11
Step-by-step explanation:
The sum of two consecutive numbers is 704. What are the two numbers?
Answer:
350 and 351
Step-by-step explanation:
Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 704.
350 + 2 = 352
351 + 1 = 352
352 + 352 = 704
I am not 100% but did this help any?