Answer:
20-------------------------
Find the third and tenth terms using the nth term equation, then add them up.
a(3) = 2(3) - 3 = 6 - 3 = 3a(10) = 2(10) - 3 = 20 - 3 = 17The sum is:
3 + 17 = 20The sum of the third and tenth terms is 20
Since an arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence:
The third and tenth terms use the nth term equation, then add;
a(3) = 2(3) - 3 = 6 - 3 = 3
a(10) = 2(10) - 3 = 20 - 3 = 17
Therefore the nth term of such sequence would be [tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
The sum is:
3 + 17 = 20
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
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Help me solve this please!!
Answer:
The answer is
[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]
Answer:
B
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )
18 × sin60° = a , then
a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]
-------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )
18 × cos60° = b , then
b = 18 × [tex]\frac{1}{2}[/tex] = 9
please help me marking brainlist
please explain how u got the answer
PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Hope it be correct.
Help.Calculate the area of the trapezoid
Answer:
180 in²
Step-by-step explanation:
[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h
27 to the power of 0.5 times 3 to the power of -0.5
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
how do I find a percentage from a discount
Answer:
Subtract the post-discount price from the pre-discount price.
Divide this new number by the pre-discount price.
Multiply the resultant number by 100.
Step-by-step explanation:
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
Expand this expression: 0.3(9x + 2)
Plz help
Step-by-step explanation:
0.3(9x + 2) [Then we multiply to expand]
= 2.7x + 0.6 (Ans)
someone pls help it's worth tons of points
Answer:
x = 8 b = -1 m = 3 x = 4
k = 4 m = 5 n = 8 x = -3
p = -7 x = -3 x = 8 v =1 x = 0
Step-by-step explanation:
Use the Proportionality Theorem to solve for X.
The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)
So x would be 1/4 of 12
12/4 = 3
X = 3
Answer:
Step-by-step explanation:
The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)
So x would be 1/4 of 12
12/4 = 3
X = 3
find the value of x
Answer:
x=104
Explanation
since it's a supplementary angle you do
You do 72+x+4= 180 then solve
72+4+x= 180
x=180-76
x=104
Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?
Answer:
Ms. Day bought 5 blankets and 4 pillows.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.
Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.
[tex]16x+10y=120[/tex]
Divide this equation by 2.
[tex]8x+5y=60\,\,...(i)[/tex]
Ms. Day bought 9 items.
[tex]x+y=9[/tex]
Multiply this equation by 5.
[tex]5x+5y=45\,\,...(ii)[/tex]
Subtract [tex](ii)[/tex] from [tex](i)[/tex]
[tex]3x=15\\x=5[/tex]
Put [tex]x=5[/tex] in [tex]x+y=9[/tex]
[tex]5+y=9\\y=9-5\\y=4[/tex]
Therefore,
Ms. Day bought 5 blankets and 4 pillows.
Trapezoid K prime is the image of trapezoid K after a series of transformations. On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7). Bella and Marco described the sequence of transformations in different ways. Bella’s Sequence Marco’s Sequence 1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation 2. a rotation of 180 degrees about the origin 3. a translation of 1 unit down 1. a reflection of trapezoid K across the x-axis 2. a dilation by a scale factor of Three-halves with the origin as the center of dilation 3. a translation of 1 unit down Which sequence or sequences are correct and why? Only Bella is correct. Only Marco is correct. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Answer: bella, edge 2021 bb
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, left, right or down,
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
Find out more on Transformation at: https://brainly.com/question/1462871
What are the coordinates of point S?
(2, -2)
(-2, 2)
(2, 2)
(2, 0)
Answer:
A: 2, -2
Step-by-step explanation:
the first two represent the x axis and the negative two shows the y axis
Answer:
(2,-2)
Step-by-step explanation:
A set of points is (x,y)
The x-axis is the horizontal line and the y-axis is the vertical line.
Do you see how the point S is in line with 2 on the x-axis? This means that the x point is 2.
Now look across to the y-axis, do you see how point S is in line with -2? This means that the y point is -2.
Put both points together using (x,y)
(2,-2)
Hope this helps!!
- Kay :)
Company had $830,000 in sales, sales discounts of $12,450, sales returns and allowances of $18,675, cost of goods sold of $390,250, and $285,520 in operating expenses. Net income equals:
Answer: $123,105
Explanation:
Sales $830,000
Less: Sales Discounts $12,450
Sales returns $18,675 ($31,125)
Net Sales $798,875
Less: Cost of Goods sold ($390,250)
Gross Profit $408,625
Less: Operating expenses ($285,520)
Net income $123,105
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Answer:
4.8
Step-by-step explanation:
7.2-2.4=4.8
Answer Raise the decimal to the ruoth
Step-by-step explanation:
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answer: (4,-3)
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mohon bantuannya guys soal limit, thanks
Answer:
im anserring for brainly points
Step-by-step explanation:
none honestly sorry
please help me i have no idea how to do this and i’m failing
Answer:
x = 6.4
Step-by-step explanation:
ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4
Answer:
x=5
Step-by-step explanation:
see image
i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.
¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?
Answer:
The median is 8.05
Step-by-step explanation:
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
Evaluate at the given value: g(x)=1/7x-1, g^-1 (6)
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
Please help
What is 2 2/3 - 4/5
Answer:
1 13/15 yards
Step-by-step explanation:
2*3 = 6
6+ 2 = 8
8/3 * 5 = 40/15
4/5 * 3 = 12/15
40-12 = 28
28/15 = 1 13/15
Answer:
[tex]1 \frac{13}{15}[/tex]
Step-by-step explanation:
We have two fractions and are being asked to subtract them.
Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.
[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]
[tex]\frac{40}{15} - \frac{12}{15}[/tex]
Now subtract :
[tex]\frac{28}{15}[/tex]
[tex]1\frac{13}{15}[/tex]
3x+y=32+7x+2y=73 pls solve for x and y
Answer:
x=41/4 -y
y=41/4 -x
Step-by-step explanation:
help I need it :| :|
Step-by-step explanation:
x= 2 y = 10
x= 0 y = 8
x= 4 y = 12
Subtract 10x−(−7+6x)=
Answer:
4x+7
Step-by-step explanation:
3. Subtract (7x + 10)-(-6x + 8).
Which point on the number line best represents 166 ?
A
B
C
D
7
9
8
B at 7.9
Cat 8.1
D at 8.8
A at 7.3
Answer:
a and b
Step-by-step explanation:
well i dk b
Jane works as a tutor for $14 an hour and as a waitress for $11 an hour. This month, she worked a combined total of 93 hours at her two jobs.
Answer:
3t + 1,023
Step-by-step explanation:
The computation is shown below:
As a tutor it is $14 per hour
As a waitress it is $11 per hour
Total number of hours worked is 93
Now let us assume the number of hours worked as a tutor is t
So as a waiter is 93 - t
Now the equation is
= $14(t) + $11(93 - t)
= 14t + 1,023 - 11t
= 3t + 1,023