Answer:
समांतर श्रेणी का प्रथम पद a = 2
[tex] t_{13}= 26[/tex]
Step-by-step explanation:
माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.
इसलिए..
[tex] S_6 = 42....(given) [/tex]
[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]
[tex]\therefore 3\{2a + 5d\}= 42 [/tex]
[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]
[tex]\therefore 2a + 5d=14...... (1)[/tex]
[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]
[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]
[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]
[tex] 3(a + 9d) = a + 29d[/tex]
[tex] 3a + 27d = a + 29d[/tex]
[tex] 3a - a = 29d - 27d [/tex]
[tex] 2a= 2d [/tex]
[tex] a= d...... (2)[/tex]
समीकरण (1) और (2) से:
[tex]\therefore 2a + 5a=14[/tex]
[tex]\therefore 7a=14[/tex]
[tex]\therefore a=\frac{14}{7}[/tex]
[tex]\therefore a=2[/tex]
समांतर श्रेणी का प्रथम पद a = 2
a = d = 2... (समीकरण 2 से)
[tex] t_{13}= 2 + (13-1)2[/tex]
[tex] t_{13}= 2 + 12\times 2[/tex]
[tex] t_{13}= 2 + 24[/tex]
[tex] t_{13}= 26[/tex]
I’ll give points + brainalist for correct answer
Answer:
557.8m²Step-by-step explanation:
2 opposite semicircle are same
diameter = 9m
radius = 4.5m --- (diameter = 1/2radius)
area of semicircle = 1/2 × π × radius²
= 1/2 × 3.14 × 4.5×4.5
= 31.79m²
2 semicircles area = 31.79 × 2
= 63.8m²
______________________________
______________________________
other 2 opposite semicircle are same
diameter = 20m
radius = 10m --- (diameter = 1/2radius)
area of semicircle = 1/2 × π × radius²
= 1/2 × 3.14 × 10×10
= 157m²
2 semicircles area = 157 × 2
= 314m²
______________________________
______________________________
length = 20m ----- ( given )
breadth = 9m ----- ( given )
area = length × breadth
= 20 × 9
= 180m²
______________________________
______________________________
AREA of whole figure = 63.8 + 314 + 180
= 557.8m²
art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
can someone please help me find the area of a regular pentagon of radius 4m? thank you :(
Answer:38.07
Step-by-step explanation:
If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.
To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.
If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:
Area = (5/4) * apothem * side length
To know more about area:
https://brainly.com/question/28995006
#SPJ2
Plss this is timed will mark brain least if shown work!
Answer:
good
Step-by-step explanation:frog
Find the value of each variable?
Answer:
x = 78 and y= 65 is the right ans
PLZZZZ HELPPP MEE!!!!!
Answer:
-60
Explanation:
6x(2x-5) always do what's in the parentheses first
6x(-10)
= -60
what is 7p = -42 i need help i cant find the answer
Answer:
p=-6
Step-by-step explanation:
So we need to get p by its self so we have to to divide both sides to get the answer. 7p=-42 so p= -6 because we divided -42/7
Is 1/4 equal to or less than 2/8
Answer:
Equal to.
Step-by-step explanation:
We can prove this by multiplying the numerator and denominator by 2.
1 times 2 and 4 times 2 leaves you with 2/8, proving that the fractions are equal.
You can also show this by modeling it. Two 1/8 slices of pizza are together the same size as a single 1/4 slice of pizza.
Solve for h. What is h?
Problem 20h=2
Answer:
h=1/10
Step-by-step explanation:
Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
To learn more about expressions :
brainly.com/question/11568837
#SPJ2
expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction.
Answer:
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
Step-by-step explanation:
we do not want the minus sign.
7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7+ 3/4 + 1 + 3/4 - 3 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6
7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6
h(x) = -3x + 1 g(x) = 4x + 3 Find h(g(x))
Answer:
-12x -8
Step-by-step explanation:
Substitute g(x) into h(x) so h(4x + 3) = -3(4x +3) + 1 = -12x - 9 + 1 = -12x -8
A store sells T-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on T-shirts and sweatshirts.
Part A: Write an equation to represent how many T-shirts, x and sweatshirts, y you can buy.
Part B: If you purchase 5 T-shirts, how many sweatshirts can you purchase?
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Answer:
A.) 12x+15x=120
B.) 5 sweatshirts
Step-by-step explanation:
A.) Let x=T-shirts
Let y= Sweatshirts
B.) 12x+15x=120
12(5)+15x=120
60 + 15x=120
-60 -60
________________
15x=104
___ ____
15 15
___________________
x=6.93333*
*Round it down to 5
Factor the polynomial completely.
4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
Which is the completely factored polynomial?
4x2(x + 4)
3x2(x – 3)
(4x2 – 7)(x + 3)
(4x2 + 7)(x – 3)
Answer:
2x(2x2 -6x) + (7x - 21)
Step-by-step explanation:
4x3 - 12x2 + 7x -21
In ΔLMN, the measure of ∠N=90°, the measure of ∠L=74°, and NL = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Answer:
209.2
Step-by-step explanation:
Solve the system.
-2x + y + 3 = 0
3x + 4y = -1
Answer:
x = 1, y = -1
Step-by-step explanation:
Gavin plans to repaint some classroom bookcases. He has 3 gallons of paint. All of
the bookcases are the same size and each requires gallon of paint. How many
bookcases will he be able to paint?
3/4
Answer:
3 bookcases
Step-by-step explanation:
What is the inverse function of y=5x + 1
Answer:
5x - 1
Step-by-step explanation:
i don't know hw to explain it but that's the answer
WILL MARK BRAINLIEST!! Just help me out with number 2 please. :)
Here is an inequality: -2x > 10.
1. List some values for x that would make this inequality true.
Answer: Any negative number above -5, like -6, -7, etc.
2. How are the solutions to the inequality -2x ≥ 10 different from the solutions to
-2x > 10? Explain your reasoning.
9514 1404 393
Answer:
-5 is included in the solution set of the first, but not the second
Step-by-step explanation:
The solution to -2 ≥ 10 is x ≤ -5. The solution to -2x > 10 is x < -5. The difference is that x = -5 is included in the solution set of the first inequality, but is not included in the solution set of the second inequality.
When plotted on a number line, the former inequality has a solid dot at -5, indicating that point is included. The latter inequality has an open dot (circle) at -5, indicating that point is not included. (Both plots are shaded to the left of the dot.)
Here is a circle. Points A, B, C, and D are drawn, as
well as Segments AD and BC.
D.
What is the area of the circle, in square units?
Somebody help me ??!!
*this answer i made was incorrect please avoid it*
Answer:
15
Step-by-step explanation:
Pythagoras theorem
a^2+b^2=c^2
12*12=144
9*9=81
144+81=225
sq root of 225 = 15
The diagram shows a regular hexagon and a parallelogram.
х
(112°
Work out the size of the angle marked x.
You must show all your working.
7
a
Total marks: 4
Answer:
52°
Step-by-step explanation:
180-112=68
120-68=52
The size of the angle marked x is 52°.
Given that a hexagon and parallelogram share the same one vertex and the angle of the parallelogram is 112°
To determine the size of the angle marked x by utilizing the properties of a regular hexagon and the given angle of 112°.
A regular hexagon has interior angles measuring 120° each. Since the hexagon is regular, all six interior angles are congruent. We can divide the hexagon into six equal triangles, each having an angle of 120°.
In parallelogram, the opposite angles are congruent and the sum of adjacent angles is 180°.
The parallelogram adjacent to the hexagon shares the same vertex as the hexagon's interior angle.
Let the angle adjacent to 112° in parallelogram be a and a is adjacent to angle x in hexagon,
By using parallelogram property gives,
a + 112° = 180°
Subtract 112° from both the sides, gives,
a = 68°
x and a form one angle of the hexagon which is equal to 120° gives,
x + a = 120°
Substitute the value of a = 68° in the above equation
x+ 68° = 120°
Subtract 68° from both the sides, gives,
x = 52°
Hence, the size of the angle marked x is 52°.
Learn more about angles and polygons, click here:
https://brainly.com/question/27331337
#SPJ2.
need help please look at attachment
Answer:
y = 1/2x + 2
Step-by-step explanation:
Perpendicular slope = 1/2
( -2, 1)
y - y1 = m(x - x1)
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1
y = 1/2x + 2
Answer:
y1=+/2/5+1
y1+/15
/1=+5/36
-2=1/-/12
HELP ME PLEASE ❗❗❗❗
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answer:
Q3 = 30
Step-by-step explanation:
minimum value = 5
Q1 = 20 (this is the median of the lower half of data)
Median (sometimes called Q2) = 25
Q3 = 30 (this is the median of the upper half of data)
maximum value = 45
If f(x) = 2(3)^x and g (x) = 25 and h(x) = f(x) + g (x) what's is the equation for h(x)
Answer:
h(x) = 2(3)^x + 25
Step-by-step explanation:
Jacque was selling bottles of water at the golf tournament Between 7 am and 8 am he sold 2 bottles of water, between 8 am and 9 am he sold 8 bottles, and between 9 am and 10 am he sold 32 bottles. If this trend
continues, how many bottles of water will he sell between 10 am and 11 am?
32
64
128
256
Answer:
128
Step-by-step explanation:
becuase 7-8 he sold 2
8-9 he sold 8
9-10 he sold 32
4*2= 8
4*2=32
4*32=128
If 3 inches of rain fell in 5 hours, how much rain fell each hour? *
Answer:
Step-by-step explanation:
you can divide 5 divided by 3 and your answer will be 0.6
ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser
solve the system of equations-6x+7y=9 and 2x-2y=-4
Answer:
y = -3 and x = -5
Step-by-step explanation:
Hi,
-6x + 7y = 9
2x - 2y = -4
Multiply the bottm equation by 3...
-6x + 7y = 9
6x - 6y = -12
Add...
y = -3
Now...
2x - 2 (-3) = -4
2x + 6 = -4
2x = -10
x = -5
Answer...
y = -3 and x = -5
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12:00 pm the temperature rose 6
degrees Fahrenheit, what is the temperature at
12:00 pm in degrees?
Answer:
17 degrees
Step-by-step explanation:
-23 + 6 = 17