Answer:
[tex]59.6[/tex] mm
Step-by-step explanation:
We know that the base times the height divided by two is the area, so we have that [tex](8.6*h)/2=256.28[/tex].
We can multiply both sides by [tex]2[/tex] to get [tex]8.6*h=512.56[/tex].
Lastly, we divide by [tex]8.6[/tex] on both sides to get [tex]h=512.56/8.6[/tex].
This simplifies to [tex]\boxed{h=59.6}[/tex] mm!
Consider if the following Infinite Series converges or diverges; If converges, find the sum.
[tex] \displaystyle \large{ 1 + 2 + \frac{1}{2} - \frac{2}{3 } + \frac{1}{4} + \frac{2}{9} + \frac{1}{8} - \frac{2}{27} + ...}[/tex]
Please show your work too. Thanks!
Step-by-step explanation:
You can immediately notice that the sum consists of the sum of two infinitely decreasing geometric progressions[tex]\displaystyle \large \boldsymbol {} \underline1+\underline 2+\underline {\frac{1}{2}} -\frac{2}{3} +\underline {\frac{1}{4}} -\frac{2}{9} +\underline{\frac{1}{8}} -\frac{2}{27} + \ldots = \\\\\\ \underbrace{\bigg(1+2+\frac{1}{2} +\frac{1}{4} \ldots \bigg)}_{\rm \big S_2}-2 \underbrace{\bigg(\frac{1}{3}+\frac{1}{9} +\frac{1}{27} \ldots \bigg)}_{\big S_3}[/tex] The formula for an infinitely decreasing geometric progression:[tex]\displaystyle \large \boldsymbol { \rm S=\frac{b_1}{1-q} \ \ ; \ \ |q|<1}[/tex] Where : q -denominatorb₁ -is the first member of the progressionThen:Denote the sum of the numbers in the first bracket for S₂ ; and in the second bracket for S₃[tex]\displaystyle \large \boldsymbol {} \rm S_2=\frac{2}{1-\dfrac{1}{2} } =\frac{2}{\dfrac{1}{2} } =4 \\\\\\\ S_3=\frac{\dfrac{1}{3} }{1-\dfrac{1}{3} } = \dfrac{1}{\dfrac{3}{\dfrac{2}{3} } } =\frac{1}{2}[/tex] Substitute the values : [tex]\large \boldsymbol {} \rm S_2-2S_3=4- 2\cdot \dfrac{1}{2} =\boxed{3}[/tex]1/9 divided by 8/7 this is called dividing fractions
Answer:
True?
Step-by-step explanation:
5 The area of a trapezium is 54 cm^2. The length of one of the parallel sides is 8 cm and the height is 6 cm. Find the length of the other parallel side.
Answer:
come here if you want to see
The length of the other parallel side is 10 cm.
Trapezium is a quadrilateral (has four sides and four angles) with a pair of parallel sides. The area (A) of a trapezium is given by:
A = (1/2)(a + b)h
where a and b are the length of the parallel sides, h is the height of the trapezium
Given A = 54, a = 8 cm, h = 6 cm, hence:
54 = (1/2)(8 + b)6
8 + b = 18
b = 10 cm
The length of the other parallel side is 10 cm.
Find out more on trapezium at: https://brainly.com/question/137259
Please help.
Answer question 1 and 2 and I’ll mark brainliest
1. You and your friends are making favors for
a party. You make a profit of half a dollar
per favor. How many must you sell to make
a profit of $250? Write an equation and
solve.
2. North High School has 762 students. This
is three times the number of students at
Central High. How many students does
Central High have? Write an equation
and solve.
publishing as Pearson Prentice Hall.
Answer:
1. 500
2. 2,286
Step-by-step explanation:
1. $250 divide by 0.5
2. 762 times by 3
diego and lin are dinking milkshakes lin started with 12 ounces and drinks 1/4 ounces per second . deigo starts with 20 ounces and drinks 2/3 ounce per second how long will it take lin and diego to finish their milk shakes
Answer:
lin: 12 ounces/ (1/4) ounces= 12/(1/4)=48 sec
diego:20 ounces/ (2/3) ounces= 20/(2/3)= 30 sec
Find the measure of XYZ
Step-by-step explanation:
the measure of XYZ =
135° - 60° = 75°
Gina works in a bookstore and was entrusted
the task of counting how many books there are
math. She observes that there is a total
of 5 estates, each shelf has 5 divisions
of books, each of these divisions has 5
sections with 5 books. How many books are there in
the math section?
which of the following graphs in the solution set of 1/2x+7>3?
Answer:
[tex] \frac{1}{2} x + 7 > 3 \\ \frac{1}{2} x > 3 - 7 \\ \frac{1}{2} x > - 4) \times 2 \\ x > - 8[/tex]
Can I get some help? Maybe from a fellow student or teacher that knows how to help with Clever? For some reason, whenever I'm trying to get into Clever, I press the login button but it takes me to this page saying something went wrong and when I click Sign In (Second picture) it stays on that page. This happened on Wednesday too, and by the time I had the email to send to my Teacher, I was able to get back in. (That time it had taken me a whole hour) I've also already tried restarting my computer too.
I'LL GLADLY GIVE BRAINLIEST TO THE PERSON WHO CAN HELP ME
Answer:
honestly, this happened to me so i clear my cache and cookies and deleted my search history and it worked
to clear cache and cookies (for chrome) go to the top right of your bookmarks bar.
there will be three tiny dots going vertical(up and down)
click on it
there will be a dropdown menu
the third to the bottom will say settings
click that
then when you are i settings, click on advanced dropdown menu(it will be on the left hand side of the screen towards the bottom)
press restore settings to their original defaults
all your cookies and cache will be deleted
your extensions will be deactivated(but not deleted dont worry)
restart your computer and then go to your history and delete everything
restart chrome and you shoul be good
Brainliest?Ok but why are so many people doing face reveals on this app?!? Anyways…
Answer:
bru its cool
Step-by-step explanation: lol
On each of maggie's bird-watching trips,she has seen at least 24 birds.If she has taken 4 of these trips each year over the past 16 years,at least how many birds has maggie seen
Answer:
Step-by-step explanation:
24 birds per year for 4 years for the past 16 years would be 24 x 4 x 16 = 1,536
At least 1,536 birds
What’s the answer to this maths question
find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if: the numbers formed must be even
Answer:
3
Step-by-step explanation:
there are only 3 even numbers
Amanda read 15 pages of her 150-page book in 2 hours at this rate how long will it take her to read the entire book
Which rays are perpendicular.
1. OA and OD
2. OA and OB
3. OA and OC
4.OA and OF
find the value of x and y.
Answer:
[tex]x=13[/tex]
[tex]y=23[/tex]
Step-by-step explanation:
[tex](12x - 41) + 5x = 180[/tex]
[tex]12x + 5x = 180 + 41[/tex]
[tex]17x = 221[/tex]
[tex] \frac{17x}{17} = \frac{221}{17} [/tex]
[tex]x = \frac{221}{17} [/tex]
[tex]x = 13[/tex]
[tex](12 \times 13 - 41) + 5(13) = 180[/tex]
[tex]115 + 65 = 180[/tex]
[tex]180 = 180[/tex]
[tex]vertical \: angles[/tex]
[tex](12x - 41) = 5y[/tex]
[tex]12 \times 13 - 41 = 5y[/tex]
[tex]115 = 5y[/tex]
[tex] \frac{115}{5} = \frac{5y}{5} [/tex]
[tex]y = \frac{115}{5} [/tex]
[tex]y = 23[/tex]
[tex]5y=12x-41[/tex]
[tex]5×23=12×13-41[/tex]
[tex]115=115[/tex]
We can use the two terms in x to find the value of x.
Angles on a line have a sum of 180°
⇒ (12x -41)° + 5x° = 180°
⇒ (12x + 5x -41)° = 180°
⇒ 17x° = 180 + 41°
⇒ x = 13
We can use the same principle of angles to find y
5x° + 5y° = 180°
since x = 13; 5(13) + 5y = 180
5y = 115
y = 23
∴ x = 13 & y = 23Part IV: Last year's winner (9 points) Your sponsor will need to know how your average speeds compare to the speeds of past winners. In Part IV, you'll find out how to calculate boat speeds in knots (nautical miles per hour).
1. What was the winning time of last year's race for your city and boat? (2 points, one for each leg)
2. Do you know how fast last year's winner was traveling? (2 points)
3. What information do you need to know to calculate last year's winning speed? Remember, the distance traveled (length of the course) is equal to the rate (boat's speed) times the time. (2 points) A nautical mile is 6076 feet. A speed of one nautical mile per hour is a knot. In the next two questions, you will convert a speed in feet per minute to knots.
4. If you travel 1000 feet in 5 minutes, what is your speed in feet per minute? (1 point)
5. What is your speed in knots? Hint: Use the number of minutes in an hour to convert the speed to feet per hour. Then use the number of feet in a nautical mile to convert feet per hour to knots. (2 points: 1 point for finding the speed in feet/hr. 1 point for converting to knots)
Using the information given in the table, and the speed - time relationship, the solutions to the exercises goes thus :
Using the information given in the table :
1.) The winning time for last year's race will be the lowest time on the table. Using the winning time column, the winning time for each city is :
Sydney = 14.75 minutes San Francisco = 16.25 minutes Mykonos = 25.5 minutes2.)
The winning time of past winners cannot be determined as the exact distances of each city isn't given.
3.)
The information required to calculate speed is distance and time ;
Speed = (distance / time)4.)
Distance = 1000 feets Time = 5 minutesDistance = 1000/5 = 200 ft/min
5.)
Speed in Knots ;
Speed in feets per hour
60 minutes = 1 hour200 ft/ min × 60/1 hour = 12000 feets per hour
Speed in nautical mile per hour
1 nautical mile = 6076 feets(12000 ft/hr) × (1/6076)feets = 1.975 nautical miles per hour
Therefore, speed in knots is 1.975 knots.
Learn more :https://brainly.com/question/23774048
Which set of numbers does not include -8?
Whole numbers
Integers
Rational numbers
Opposites of whole numbers
Answer:
Whole numbers, and rational numbers
Step-by-step explanation:
!30 points! Which angle corresponds to angle N? (Photo attached)
A. N
B. O
C. O'
D. P'
Answer:
∠ N'
Step-by-step explanation:
Corresponding angles in the same position after the transformation.
∠ N' corresponds to ∠ N
Answer:
its A
Step-by-step explanation:
Suppose a line graphed on a coordinate plane represents the distance traveled in miles by an automobile as a function of time in hours. Assuming that the relationship between time and distance traveled is proportional, which of these statements is correct? Select one that applies.
A. If the automobile was going 30 mph, the slope of the line is.
C. If the automobile was going mph, the y-intercept of the line is
D. If the automobile was going mph, the y-intercept of the line is.
E. If the automobile was going mph, the y-intercept of the line is.
Using linear function concepts, it is found that the correct option is:
A. If the automobile was going 30 mph, the slope of the line is 30.
A linear function is modeled by an equation in the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.In this problem, the relationship between time and distance traveled is proportional, which means that slope is given by the velocity. Thus, the correct option is:
A. If the automobile was going 30 mph, the slope of the line is 30.
A similar problem is given at https://brainly.com/question/16302622
Answer:
a
Step-by-step explanation:
7 1) = -2 y - y -6 -5 -3 X
7/2 is the slope and (-2,0) is the starting point.
A.f(x)=500(0.05)^x
B. f(x)=500(1.05)^x
C. f(x)=500+50x
D. f(x)=500x+50
Answer:
a
Step-by-step explanation:
Burwell Bank is offering to double your money! They say that if you invest with them at 8% interest compounded monthly, they will double your money. If you invest $3500 in the account, how long will it take for your money to double?
Answer:
350000% is the answers
Step-by-step explanation:
sana maka tulong
Samuel earns $10 per hour plus $1 per T-shirt he sells. Find his earnings when he works 8 hours and sells 20 T-shirts.
Answer:
$100
Step-by-step explanation:
$10(8hrs)=$80
$1(20)=$20
=$100
Hope this helps!! :)
I’m confused on how to solve this
-3.1a+0.5=6.39
(-1.9x(-3.1)+0.5=6.39
A= -1.9
y=-3(x-7)(x+3) in standard form
Answer: I explained it down below in the picture.
Mr. Roosevelt has 48 nails that each weigh 1.35 ounces. What is the weight of these nails in ounces?
Answer:
64.8 ounces
Step-by-step explanation:
48 nails times 1.35 ounces gives you 64.8 ounces.
PLEASE HELPP
Can you please put how you worked it out?
4x+3-x=12x-15
Answer:
2
Step-by-step explanation:
4x+3−x=12x−15
Combine 4x and −x to get 3x.
3x+3=12x−15
Subtract 12x from both sides.
3x+3−12x=−15
Combine 3x and −12x to get −9x.
−9x+3=−15
Subtract 3 from both sides.
−9x=−15−3
Subtract 3 from −15 to get −18.
−9x=−18
Divide both sides by −9.
x= –18÷–9
Divide −18 by −9 to get 2.
x=2
Please help me find the value of x
Answer:
the answer to x is 15 degrees
Answer:
x = 15
Step-by-step explanation:
these two labeled angles are supplementary because they are same-side interior angles
we can add them together and set the sum equal to 180 to find 'x'
3x - 15 + 150 = 180
combine -15 and 150 to get 135
3x + 135 = 180
subtract 135 from each side to get:
3x = 45
divide each side by 3 to get:
x = 15
Which of the following three-dimensional geometrical shape do not have a curved surface?
A. Cylinder
B. Cone
C. Sphere
D. Prism
Answer:prism
Step-by-step explanation: