what is the circumstance of a circle with a diameter of 1 inch? use 3.14 for pi.
The third term of an arithmetic sequence is 15 and when 20 is added to the third term the
8 term is obtained
a) What is the common difference of the sequence?
S
b) What is the position of 103 in this sequence?
Answer:
Common difference = 4
Position of 103 = 25th term
Step-by-step explanation:
a)
According to the given information:
[tex] a_3 + 20 = a_8[/tex]
[tex] a+ (3-1)d + 20 = a+ (8-1)d[/tex]
[tex] \cancel a+ 2d + 20 = \cancel a + 7d[/tex]
[tex] 2d + 20 = 7d[/tex]
[tex] 20 = 7d-2d[/tex]
[tex] 20 = 5d[/tex]
[tex] d = \frac{20}{5}[/tex]
[tex] \purple {\bold {d = 4}} [/tex]
Common difference = 4
b)
[tex] \because a_3 = 15....(given) [/tex]
[tex] \therefore a + (3-1)d = 15[/tex]
[tex] \therefore a + 2d = 15[/tex]
[tex] \therefore a + 2\times 4= 15[/tex]
[tex] \therefore a + 8= 15[/tex]
[tex] \therefore a = 15-8[/tex]
[tex] \red{\bold {\therefore a = 7}} [/tex]
[tex] \because a_n = a + (n - 1) d[/tex]
[tex] \therefore 103 = 7 + (n - 1)4 [/tex]
[tex] \therefore 103 - 7 = (n - 1)4 [/tex]
[tex] \therefore 96 = (n - 1)4 [/tex]
[tex] \therefore \frac{96}{4}= n - 1[/tex]
[tex] \therefore 24= n - 1[/tex]
[tex] \therefore 24+1= n[/tex]
[tex]\blue{\bold {\therefore n = 25}} [/tex]
So, the position of 103 in this sequence is 25th term.
Find the measure of one exterior angle in each regular polygon. Numeric answer only. Do NOT include units (degrees, inches, feet, etc).
Answer:
72 is the answer
Step-by-step explanation:
number of sides=5 and exterior angle formula =360/n
360/5=72
EERS
Simplify this power raised to a power: (54)4
1. Expand using four factors of 54:
2. Apply the product of powers rule:
3. Simplify:
What is the value of x in the simplified power?
54.54.54.54
54+4+4+4
5%
X
Answer:
Step-by-step explanation:
Your formatting is unclear. Do you mean (54⁴)? or (5⁴)⁴ ?
David's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 51 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
18.9
Step-by-step explanation:
You need to find 37% of 51
In other words: 37% x 51
Find the value of x in the triangle,
41
180° in a tringle
41°+90°=131
180°-131° to get your answer so 180-131=49
how could you represent the following scenarios on a graph ?
Johnny mows lawns after school and earns $10
per hour .
Answer:
Step-by-step explanation:
Johnny mows lawns after school and earns $10 per hour.
Let the number of hours h mows = x
Total earning of Johnny = $10x
If the earning is represented by the variable 'y' equation representing the total earnings will be.
y = 10x
Table for Input output values,
x 0 1 2 3 4
y 0 10 20 30 40
what is HL, please help me ill give you brainliest if its correct.
i think It is 21! Let me know if i is wrong.
PLS help will give brainly points thank you
Answer:
I think the answer will be 20. It is oppsite sides and the lines look even. The area is small as well. So I think 20˙ will be the best option.
a). 20°
Explanation :The angle x is equal to 20° because vertical angle.
1. 2/4 x 2/9
2. 3/4 x 4/9
3. 2/5 x 5/8
800+900×25-65(89+5)-12÷67-7
Answer:
As there is Bracket lats solve it first but as there is '-' sign before the bracket sign in the bracket will change. so we will have,
'800+900×25-65(89-5)-12÷67-7'
Solving the bracket gives us:
'800+900×25-65(84)-12÷67-7'
Now avoiding the Bracket:
'800+900×25-5460-12÷67-7'
Now first we have to do MUltiplication, so we will get,
'800+22500-5460-12÷67-7'
Now let's do the division, so we will get,
'800+22500-5460-0.17-7'
Now lets do the additions and subtractions we will get,
17,832.83Write the function that models the relationship. z varies directly with x and inversely with y, and z = 10 when x = 5, y = 2
Answer:
z = [tex]\frac{4x}{y}[/tex]
Step-by-step explanation:
Given z varies directly with x and inversely with y then the equation relating them is
z = k × [tex]\frac{x}{y}[/tex] ← k is the constant of variation
To find k use the condition z = 10 when x = 5 and y = 2, then
10 = k × [tex]\frac{5}{2}[/tex] ( multiply both sides by 2 to clear the fraction
20 = 5k ( divide both sides by 5 )
4 = k
z = [tex]\frac{4x}{y}[/tex] ← equation of variation
The function that models the asked relationship is 4x / y
What is variation?A variation is a relation between a set of values of one variable and a set of values of other variables.
Given that, z varies directly with x and inversely with y then the equation relating them is,
z = (k × x) / y, where, k is the constant of variation
Finding k by using the condition z = 10 when x = 5 and y = 2, then
10 = (k × 5) / 2
20 = 5k
k = 4
Therefore, the equation of variation is 4x / y
Hence, the function that models the asked relationship is 4x / y
Learn more about variation, click;
https://brainly.com/question/13977805
#SPJ2
Someone figure this out please!!
Answer:
b/h
Step-by-step explanation:
Answer: The answer is B, B/H
Step-by-step explanation: Cosine is always Adjacent(B) over Hypotenuse (A)
Hope that helps!
6th grade math help me pleaseee
Answer:
61.5
Step-by-step explanation:
12.30 time 5 is 61.5
What is the absolute value of the following complex number?
-4 + 4i
Answer:
Step-by-step explanation:
a rectangular tree lot must have a perimeter of 100 yards and an area of at least 500 square yards. Describe the possible lengths of the tree lot
For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, how many questions were on this Geometry test?
Answer:
25 questions.
Step-by-step explanation:
Correct answer = 18
The percent score of the correct answers is 72%.
Let there are x questions in the test. So,
According to the given condition,
[tex]72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25[/tex]
Hence, there were 25 questions in the geometry test.
Yesterday, Bethany sent 60 text messages. She said that 15% of those messages were to her best friend. How many text messages did Bethany send to her friend yesterday.
Answer:
9
.......................
is this a polynomial, if so whats the degree
Answer:
where is the polynomial (?)
Step-by-step explanation:
What is the slope of the graph y =29x-7
Answer:
29
Step-by-step explanation:
The Point Slope Formula is y=mx+b
m represents the slope.
So, in the equation y=29x-7, the number 29 is in place of the m.
Therefore, that would make 29 the slope.
Hope this helps! :)
solve for w
|w|=4
if there is more than one solution, sperate them with commas. if there is no solution, type "there is no solution"
w=?
Answer:
W= +4
Step-by-step explanation:
Cymath♥️
The black dot inside this circle is its
A)
center
B)
circumference
C)
diameter
D)
radius
Answer:
d i believe b is your answer your welcome
If y varies directly as x, and y = -6 when x = 3, what is the value of y when x = 11?
Answer: y= -22
Step-by-step explanation:
Set up a proportional relationship and solve
If y is -6 and x will be 3 then what will y be when x is 11. \
We can represent that situation like this,
[tex]\frac{-6}{y} = \frac{3}{11}[/tex] cross multiply
3y = -66 Divide both sides by 3
y = -22
Radius: 12 feet Diameter: Circumference: Area:
Answer: Circumference=75.4, Diameter=24, Area=452.39
Step-by-step explanation: Hope this helps if it does can I get Brainliest.
En una frabrica de eduardo hoy fabricaron 300 pantalones si los guardan en cajas donde caben 50 pantalones cuantas cajas llenaron
Answer:
La respuesta a tu pregunta es sies (6)
Step-by-step explanation:
300/5 cajas = 6 cajas
300/5 boxes is equal to 6 boxes in total that are full.
Espero haber ayudado!
Hope I helped!!!
GL :)
solving system by elimination
Answer:
x=6 and y= -6
Step-by-step explanation:
for this one is more easy in how are your equations.
-4x-2y= -12
4x+8y= - 24
as you can see the x's in both equations are the same number and opposite sign (+,-)
solving by elimination do you need to start with equations with one of the variables in both equations with the same number and different sign.
after you have your equation you combine both and you can eliminate x
-4x-2y= - 12 after you combine you are going
4x+8y= - 24 en with 6y=-36
6y= -36 the next step is divide 6 in both
6 6 sides
y= - 6 ⬅️and you ends whit this
after you solve for one of the letters you need to find the other ones. in this case we need to find x
so to find x you only needs to use one of the original equations and solve for x
-4x-2y= -12 original equation
-4x-2(-6)= -12 switch the y -6
-4x+12= -12 multiply the -6×2
-12. -12 substract 12 in both sides
-4x= -24 divide -4 also in both sides
-4 -4
x=6 final answer.
here is also how do you do you solve for x using the other equation; and you can see that we get the same answer, but you don't need to copy both of the equations when you are solving for the other letters jus I write also how do you do with this one in case that can be necessary or if this helps you. Also are the same steps as the other one.
4x+8y= - 24
4x+8(-6)= -24
4x-48= - 24
+48 +48
4x=24
4 4
x=6
I hope and this helps and I'm really sorry for make this longer.
HELP I HAVE NO IDEA WHAT THIS IS !
Answer:
a=1/2bh is triangle a=bh is parallelogram and the other one is trapezoid
Step-by-step explanation:
Answer:
Triangle: 1/2bh
Trapezoid: 1/2(b+b)h
parallelogram = bh
good luck!!
Write a 7 sentenced paragraph about why math is important please this is due today!!
Answer:
Perhaps the most important reason to study math is because the study of mathematics builds problem-solving skills. All citizens need to know how to reason and analytically think through a problem. The habits of mind associated with learning mathematics trains our brains to seek solutions in a logical way. Math will help you through your everyday life. It could even help you through colleges and or jobs. Paying for stuff in a store you must know how much you have to pay with your money. If your cashier you have to know how much change they need back. Math is super important. It helps with so many things.
Step-by-step explanation:
there you go :)
i really need help this is 6th grade
Two unequal values that are compared using less than (2) and greater than (>) signs.
A) Expression
B) Equation
C) Equality
D) Inequality
Answer: Option D: Inequality.
Step-by-step explanation:
A relation between two unequal values that are compared using the symbols > and <, such like:
A < B (A is less than B)
A > B (A is greater than )
Are called inequalities.
This is because this is a relation between two unequal values.
Then the correct option is D.
5. Write a simplified expression for the width of the rectangle below.
2b
Area = 2b^2 +12bc
Answer:
Step-by-step explanation: