Answer:
- 18
Step-by-step explanation:
arithmetic sequences are in form:
a(n)=a(o)+d(n-1)
sum are in form:
s(n)=[a(0)+a(n)](n/2)
three middle terms is:
10th, 11th, 12th term
How to think: 21 = 10+1+10 --> middle 3 is 10,11,12
sum of these 3 terms:
a(10)+a(11)+a(12)
=a(o)+9d+a(0)+10d+a(0)+11d
=3a(0)+30d=126
a(0)+10d=42 ......(equation 1)
Last three terms is:
19th, 20th, 21th
a(19)+a(20)+a(21)
=a(0)+18d+a(0)+19d+a(0)+20d
=3a(0)+57d=288
a(0)+19d=96 ......(equation 2)
now you have
a(0)+10d=42 ......(equation 1)
a(0)+19d=96 ......(equation 2)
solve and gives
d=6
a(0)= -18
Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!
PLEASE HELP!!!?!?!!!?!?
what is 4 .5 + 1/2 ?
The answer to that is 5, award me brainliest please!
Help me on this please
9514 1404 393
Answer:
sin(θ) = 4/5cos(θ) = 3/5tan(θ) = 4/3Step-by-step explanation:
The mnemonic SOH CAH TOA was created to help you remember the relevant trig relationships. It is intended to remind you ...
Sin = Opposite/Hypotenuse
sin(θ) = 4/5
Cos = Adjacent/Hypotenuse
cos(θ) = 3/5
Tan = Opposite/Adjacent
tan(θ) = 4/3
__
In a right triangle, the opposite side (PQ) is the one that is not part of the angle (∠R = θ). The adjacent side (QR) is the shorter side that makes up the acute angle. The longest side (PR) is the hypotenuse.
If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The breadth of the rectangle is (-5x-3).
Area of rectangleThe area of a rectangle is given as the product of its length to its breadth.
[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]
Given to usarea of a rectangle = (15x2 - 16x - 15)
length = (3x - 5)
Width[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]
Hence, the breadth of the rectangle is (-5x-3).
Learn more about Rectangles:
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Question 3
Next >
The right triangle has a square adjacent to each of its sides. What is the area of the square on the
shortest side of the right triangle?
A = 169ft?
A = 144ft?
A
5 square feet
13 square feet
Answer:
what are you trying to find?
The matrix is used to solve a problem. Which of the following would be a solution to the problem?
Answer:
(1,5)
Step-by-step explanation:
Hope this is right.
Answer:
It's (1,0)
Step-by-step explanation:
I got it right on the quiz
HELPPP MEEE THE VALUEEEE
HELP HELP 100 POINTS!! Paola was given the equation y= -x + 3. Which of following is an equivalent representation of the equation.
i also need a explanation
Answer:
no answer choices i cant help
Step-by-step explanation:
moan
if m<1 equals 35 what’s is m<3
Answer: 159
Step-by-step explanation: 53x3
Answer:
Step-by-step explanation:
m < 1 = 53°
then
m< 3 = m<1 + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
m<3 = 53° + 90°
= 143°
hope it will help :)
Check Your Understanding
Attempt 1 of 2
The volume of an oblique cone is approximately 113.04 in. If the diameter of the
cone is 6 inches, what is its height?
A. The height is approximately 4 inches.
B. The height is approximately 18 inches.
C. The height is approximately 3 inches.
D. The height is approximately 12 inches.
Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.
Answer:
6 feet
Step-by-step explanation:
Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;
Area scale factor = [tex](linear scale factor)^{2}[/tex]
linear scale factor = [tex]\sqrt{Area scale factor}[/tex]
Area scale factor = [tex]\frac{98}{18}[/tex]
So that,
linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]
= 2.3333
The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]
= 6.0085
Therefore, the corresponding side length of polygon A is 6 feet.
round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
Liam is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Liam need to invest, to the nearest ten dollars, for the value of the account to reach $23,000 in 5 years?
Answer:
The answer is 17300./ Hope this helps
An equation is shown.
2.2 - 53 -3=0
What are the solutions to the quadratic equation?
X=
X=
The answer is -53.8
Step-by-step explanation:
jSubtract
A pair of Nike's that originally cost $90 are on sale. The sale price is $67.50. What is the discount expressed as percent change?
Answer:
It is a 25 percent discount
I say this because 90/67.5 equals 75 and 25 + 75 equals what... 100
Answer:
75% off
Step-by-step explanation:
90*.75=67.50
Been stuck on this question for 20 minutes, can someone please help.
I'm sorry m8 the only options I can give you is life or death. also can u give me brainliest many thank xoxo
HELP HELP
Tommy rides in a motorboat against a river current for 25 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 10 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 12 km/h.
The speed of current is [tex]\rm 2 \:km/h[/tex].
What is the relation between distance,speed and time?The relationship between distance, time and speed can be presented as:
[tex]\begin{aligned} \rm Distance &= Speed \times Time\\\\Speed &= \dfrac{\rm Distance}{Time} \\\\\rm Time &= \dfrac{\rm Distance}{\rm Speed} \end[/tex]
Calculations:
Given:
[tex]\begin{aligned} \rm Distance\: traveled\: on\: motorboat &= 25\:km\\\rm Speed\:of\:motorboat\:in\:still\:water &= 12\:km/h \end[/tex]
Let the speed of the current be [tex]\rm x[/tex]
The speed of the boat traveling against the current is [tex]{(12 -\rm x) km/h}[/tex]
Time spent on motorboat is 10 hours less than time spent on raft.
Therefore:
[tex]\rm \dfrac{25km}{x\:km/h} - \dfrac{25km}{(12 - x)km/h} = 10[/tex]
The equation obtained will be:
[tex]\dfrac{25}{\rm x} - \dfrac{25}{(12-\rm x)} - = 10[/tex]
Multiplying both sides of the equation by [tex]\rm x(12 - x )[/tex]
[tex]\begin{aligned} \rm 25(12 - x) - 25x &= 10\times \rm x(12 - x)\\\\300 - 25x - 25x &= 120x - 10x^2\\\\300 - 50x &= 120x - 10x^2\\\\10x^2 - 120x - 50x + 300 &= 0\\\\10x^2 - 170x +300 &= 0\end[/tex]
Dividing the equation by 10
[tex]\rm x^2 - 17x + 30 = 0[/tex]
On factoring the equation,
[tex]\rm =x^2 - 2x -15x + 30 = 0\\\\=x(x - 2) -15(x - 2)\\\\=(x - 2)(x - 15)[/tex]
The values of x is 2 and 15.
Since speed of current i.e [tex](12 -\rm x)km/h[/tex] cannot be negative, [tex]\rm x = 2[/tex] is the only acceptable value.
Therefore the speed of current is 2 km/h.
Learn more about the topic here:
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Need help ASAP I really need help reviewing this!! Making sure if I have the correct answer !!!
Answer:
1) 5
2) 7
3) Mary
Step-by-step explanation:
1) 20/4 = 5 shots
20 shots = 4 minutes
10 shots = 2 minutes
5 shots = 1 minute
2) 42/6 = 7 shots
42 shots = 6 minutes
21 shots = 3 minutes
21 shots divided by 3 minutes equals 7 shots
3) Mary had 7 shots while John only shot 5.
Write down in figures the number forty one thousand and ninety six.
Answer:
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Step-by-step explanation:
Answer:
41,096
Hope it helps
Please mark me as the brainliest
Thank you
What percent of 38 is 23
The percentage of 38 that is 23 is = 60.5%
Percentage of a given quantity:To calculate the percentage of a given quantity, the quantity is taken to be =100%
That is ; 38 = 100%
Therefore, 23 = X
make X the subject of formula,
[tex]x = \frac{23 \times 100}{38} [/tex]
[tex]x = \frac{2300}{35} [/tex]
X = 60.5%
Therefore, 60.5% of 38 is 23.
Learn more about percentage here:
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PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.
Step-by-step explanation:
2.
- the volume of initial prism is 3*3*6=54 cm³;
- the number of cubics of the requested 72 cm³ is 72;
- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;
- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.
3.
- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;
- according to the requirement 3 layers is 16*3=48 in³; three times 16.
- according to the requirement 5 layers is 16*5=80 in³; five times 16.
- according to the requirement 7 layers is 16*7=112 in³; seven times 16.
Craft project
Mariah has the pool of ribbon shown at the right and 1/2 yard of fabric for a craft project. She wants to cut the ribbon into 6 equal pieces. How long is each piece of ribbon?
Question:
6: Find the length of each ribbon piece in inches. Show your work.
Answer:
the answer is 1 over 12
Estela brushes her teeth for t minutes twice a day. She uses the expression t×2×365 to represent how many minutes she spends brushing her teeth each year. Write an equivalent expression. Then explain what information is in your expression that is not in the original expression of t×2×365.
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Answer:
Step-by-step explanation:
5/3 *2=10/6
10/6-6/6=4/6
E/f + f/e if e is 15 and f is 9
Answer:
34/15
Step-by-step explanation:
15/9 + 9/15 = 34/15
Answer:
2 4/15 or 2.27 (rounded up)
Step-by-step explanation:
15/9 + 9/15
75/45 + 27/45
102/45
2 12/45
2 4/15
Factor out the greatest common factor in 12x2 + 18x.
PLEASEE HELLPPPP
I need helppp on this question
Answer:
Go and play Minecraft
Step-by-step explanation:
study is ur time waste
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hihihih
Answer:
hi how r u today my stranger
Answer:
D-Dipper/////
Step-by-step explanation:
Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.
Answer:
3/3 (1)
Step-by-step explanation:
1/3 plus 2/3 is 3/3.
Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)
How do write 400% as a fraction , mixed number, or whole number
Answer:
400/10
Step-by-step explanation:
yeet
Answer:
4
Step-by-step explanation:
400% = 400/100 = 4