Answer:
Step-by-step explanation:
2) r = 16/2 = 8 cm
Area of top and bottom = 2*πr²
= 2 * 3.14 * 8 * 8
= 401.92 cm²
Midlle part = h * πd
= 6 * 3.14 * 16
= 301.44 cm²
Total = 401.92 + 301.44
= 703.36 cm²
3) Area of front and back = [tex]2* \frac{1}{2}*b * h\\[/tex]
[tex]= 2*\frac{1}{2} * 3 * 4\\\\= 12 cm^{2}[/tex]
Area of bottom = length * breadth
= 12* 3
= 36 cm²
Area of left = 12 * 4
= 48 cm²
Area of right = 12 * 5 = 60 cm²
Total = 12 + 36 + 48 + 60 = 156cm²
How do I simplify this?
Answer:
sorry
Step-by-step explanation:
30 Points! A soccer ball hit from the ground into the air and is modeled by the function
h(t)=-16t^2+48t+2 (see attachment)
Answer:
A)
At t = 3/2
B)
36 feet
Step-by-step explanation:
The soccer ball is modeled by the function:
[tex]h(t)=-16t^2+48t[/tex]
Where h(t) represents the height in feet of the ball over time t.
Note that this is a quadratic equation.
Part A)
Since this is a quadratic, the maximum height will be reached when the ball reaches its vertex.
So, we will find the x-coordinate of the vertex.
The vertex is given by:
[tex]\displaystyle \Big (-\frac{b}{2a} , h( -\frac{b}{2a} ) \Big)[/tex]
In this case, a = -16 and b = 48. Thus, the t-coordinate is:
[tex]\displaystyle t=-\frac{48}{2(-16)}=-\frac{48}{-32}=\frac{3}{2}[/tex]
The ball will reach is maximum height at t = 3/2.
Part B)
To find the maximum height, we can simply substitute the value back into the function and evaluated. Therefore:
[tex]\displaystyle\begin{aligned} h(\frac{3}{2})&=-16\Big(\frac{3}{2}\Big)^2+48\Big(\frac{3}{2}\Big)\\\\ &=-16\Big(\frac{9}{4}\Big)+24(3)\\ \\ &=-36+72\\\\ &= 36 \end{aligned}[/tex]
The maximum height of the ball is 36 feet.
Barry buys 200 pieces of stationery for £76.
Of the 200 pieces of stationery, x of them are rulers that cost 50p each and y of
them are pens that cost 20p each.
Find how many rulers Barry buys and how many pens he buys.
First, we take the first given information: 200 pieces = £76. Since the other unknowns are expressed in pence "p", we convert this amount to "p" = 76 x 100 = 7600p.
The information on "x" and "y" gives us 2 equations:
first:
x pieces + y pieces = 200 pieces (or x + y = 200)
placing "x" in terms of "y" gives us x = 200 - y
in terms of "y": y = 200 - x
50p(x) + 20p(y) = 7600p (or 50x + 20y = 7600)
solving for "x" gives:
x = (7600 - 20y) / 50
substituting y from our first equation gives:
x = (7600 - 20(200 - x)) / 50
x = (7600 - 4000 + 20x) / 50 (distribute - remember to distribute the negative sign)
x = (3600 + 20x) / 50 (simplify)
x = 360/5 + (2/5)x (subtract (2/5)x from both sides)
(3/5)x = 360/5
3x = 360
x = 120 (rulers bought)
substituting into our first equation:
y = 80 (pens bought)
check our solution using the second equation:
50x + 20y = 7600
50(120) + 20(80) = 7600
6000 + 1600 = 7600 (correct)
therefore:
x = 120 rulers Barry bought
y = 80 pens Barry bought
The number of rulers is 120 and the number of pens are 80 in number, bought by Barry.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
x + y = 200 pieces
x = 200 - y (i)
y = 200 - x (ii)
50(x) + 20(y) = 7600p
Solve the equation for x,
x = (7600 - 20y) / 50
Substitute y from the equation,
x = (7600 - 20 (200 - x)) / 50
x = (7600 - 4000 + 20x) / 50
x = (3600 + 20x) / 50
x = 360/5 + (2/5)x
(3/5)x = 360/5
3x = 360
x = 120 is the number of scales.
Substitute the value of x in the first equation,
y = 80 is the number of pens.
To know more about arithmetic operation:
https://brainly.com/question/13585407
#SPJ2
Find the derivative of f(x) = negative 8 divided by x at x = 11.
Answer: I think it’s
f ` (x) = - 8 / x²
f ` (11) = - 8 / 121
The value of the derivative at x = 11 is 8/121
The equation of the function is given as:
[tex]f(x) = -\frac 8x[/tex]
Rewrite the above equation as:
[tex]f(x) = -8x^{-1}[/tex]
Using the first principle, the derivative of f(x) is:
[tex]f'(x) = -1 \times -8x^{-1-1}[/tex]
[tex]f'(x) = -1 \times -8x^{-2}[/tex]
Evaluate the product
[tex]f'(x) = 8x^{-2}[/tex]
Rewrite the above equation as:
[tex]f'(x) = \frac{8}{x^2}[/tex]
Substitute 11 for x
[tex]f'(11) = \frac{8}{11^2}[/tex]
[tex]f'(11) = \frac{8}{121}[/tex]
Hence, the value of the derivative at x = 11 is 8/121
Read more about function derivatives at:
https://brainly.com/question/5313449
Please help me with my math homework. I don’t understand it
Expert Checked
Me too there's no math problem...
Things you could try to fix this:
Try asking your teacher what is the work?
Try searching or contacting main educator on your work files.
Figure out what your teacher told you
Try calling the school or teacher.
Etc.
What is the greatest common factor in the expression 10x2 + 10x?
AO 10
B. 10x + 1
c. 10x
DOX
Answer:
10x C
Step-by-step explanation:
10x (10x+1)= 10x^2+10x
A ______ is a set of two or more equations that have the same variables
- table
- system of equations
- solution of a system
- elimination method
Answer:
system of equations
Answer:
System Of Equations
Step-by-step explanation:
Sean has a spinner and a bag of marbles. The spinner is evenly divided into 8 sections. The bag is filled with 6 different colored marbles.
Sean will spin the spinner and randomly select a marbles. How many possible outcomes does Sean have?
A. 14
B. 28
C. 36
D. 48
Solve the system of equations by elimination. Show all work neatly on your work page. Checking your answer is wise. :)
6x + 3y = -12
-6x - 2y = 4
Answer:
x=2
y=-8
Step-by-step explanation:
6x+3y=-12
-6x-2y=4
3y=-12-6x
y=(-12-6x)/3
y=-4-2x
substitute y
-6x-2(-4-2x)=4
-6x+8+4x=4
-2x=-4
x=2
6(2)+3y=-12
12+3y=-12
3y=-24
y=-8
check:
6(2)+3(-8)=-12
12-24=-12
-6(2)-2(-8)=4
-12=16=4
URGENT!!!!!
Work out the image attached
Include Workings
9514 1404 393
Answer:
17.8 km80.4 mStep-by-step explanation:
The first attachment shows the sort of geometry involved. The line of sight from the top of the lighthouse makes a tangent with the earth's surface at the horizon (neglecting optical effects due to the atmosphere).
The hypotenuse of the relevant triangle is (r+h), and the angle is adjacent to the radius, r. Then the cosine relation applies:
Cos = Adjacent/Hypotenuse
cos(α) = r/(r+h)
We note that the radius is in km, and the length h is given in meters, so we need to do a conversion to put the numbers in this formula. We don't care so much about the angle itself, but we need its value to find the length of the arc along the earth's surface. That is ...
s = r·α
so, the distance of interest is found from ...
cos(α) = 6367/(6367 +0.025)
r·α = 6367·arccos(6367/6367.025) ≈ 17.84 . . . km
The horizon is about 17.8 km from the observer.
__
The second problem requires we find the height value that makes the distance 32 km.
32 = r·α = 6367·arccos(6367/(6367 +h))
Dividing by the earth's radius and taking the cosine, we have ...
cos(32/6367) = 6367/(6367 +h)
h = 6367 -6367/cos(32/6367) ≈ 6367.0804 -6367 = 0.0804 . . . km
The cliffs must be about 80.4 meters high for it to be possible to see that distance.
PLEASE HELP ME WITH THIS!!!
Answer:
64 yd
Step-by-step explanation:
[tex]\frac{x}{40} =\frac{32}{20} \\x=\frac{32}{20} \times 40=64 yd[/tex]
blake went on a bike tour he rode 780 miles in 12 days he rode the same number of miles each day write an expression that can be used to find how many miles blake rode each day
Answer:
65 miles per day
Give my a brain baby
Step-by-step explanation:
What is the answer what’s the sum?
Answer:
9 1/2
Step-by-step explanation:
Answer: 9 1/2
Step-by-step explanation:
2a=14 how do you solve this equation?
Answer:
a=7
Step-by-step explanation:
step one: divide both sides by 2
now you will have [tex]a=\frac{14}{2}[/tex]
step two: divide 14 by 2
14/2 is 7 so a is equal to 7
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
what is the value of the expression shown 1/2 (6.2 - 0.04)
Answer:
3.08
Step-by-step explanation:
1/2(6.2-0.04)
1/2(6.16)
6.16/2
3.08
Your friend has x pennies. You have 29 pennies. You and friend have a total of 40 pennies. Write an equation that you can use to find x
Answer:
40 = 29 + x
Step-by-step explanation:
hope this helped, sorry if wrong
PLEASE HELP ME ILL MARK U BRAINLIEST :)
Answer:
c. 23 packages
at which week will keith and greg have downloaded the same number of songs?
Answer:
Week 15
Step-by-step explanation:
Find the equations to the sequences and solve as equation
5n+20 = 2n+50
5n= 2n +30
3n=30
n=15
A researcher measured approximately 0.005123 grams of bacteria in a sample. How is this number expressed in scientific notation?
Answer:
5.123 × 10-3
m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
I hope this helps.. :D
Which choice is equivalent to the product below when x > 0?
Answer:
B
Step-by-step explanation:
Using the rules of radicals
[tex]\sqrt{\frac{a}{b} }[/tex] = [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex]
Given
[tex]\sqrt{\frac{2}{x} }[/tex] × [tex]\sqrt{\frac{x^2}{8} }[/tex]
= [tex]\sqrt{\frac{2x^2}{8x} }[/tex] ← cancel 2 and 8 and x² and x
= [tex]\sqrt{\frac{x}{4} }[/tex]
= [tex]\frac{\sqrt{x} }{\sqrt{4} }[/tex]
= [tex]\frac{\sqrt{x} }{2}[/tex] → B
please help solve this? (:
Answer:
1 and Q
Step-by-step explanation:
The first and second one, as The angle can be whatever number or letter correlates with that one. R is a different point, and QRS isn't an actual angle.
Hope this helps :)
Please help
Will give BRAINLIEST
Which value is not a solution of the inequality -x + 5 < 7? Select all
A. 5
B.7
C. -1
D.-3
E. 10
F.-12
G. 1
H. -5
Answer:
-3
-12
-5
Step-by-step explanation:
A negative number with another negative symbol put onto it is positive because both negative symbols cancel each other out
So -(-3) = 3
-(-12) = 12
-(-5) = 5
The model is shaded to represent the amount, in liters, of lemonade in a pitcher. If Sarah drinks 0.4 liter of the lemonade, how much will be left?
Answer:
0.6
Step-by-step explanation:
Use elimination to solve for x and y:
5x + 4y = 23
x - 4y = - 5
O (3, 2)
O (2,3)
0 (7. – 3)
0 (7,3)
Answer:
x=3, y=2
Step-by-step explanation:
In the school store, all markups are 25%. If the store paid $12 for a t-shirt, what is the selling price?
Answer:
$15
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Translate into a variable expression.
the product of six and the total of r and nine
Hello , Your answer is [tex]{ r+9=6}{}\\\\\end{array}\right] }[/tex]
Hope this help's!
Answer:
r + 9 = 6
Step-by-step explanation:
I need help with these questions(see image).
Please show workings.
Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x = [tex]\frac{180-100}{2}[/tex] = [tex]\frac{80}{2}[/tex] = 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°
The reading of a scale at one end is 3.5 cm and at the other end is 18.5 cm. Calculate the lengths of the needle
Answer:
15 cm
Step-by-step explanation:
Given that :
Reading at one end, initial reading = 3.5 cm
Reading at the other end, final reading = 18.5 cm
Length of needle :
Final Reading - Initial reading
18.5cm - 3.5cm
= 15cm