Cylinder A -
Surface Area:
A = 2πrh + 2πr^2
A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908
A = 392.7 cm^2
Volume:
V = πr^2h
V = π · 25 · 7.5 ≈ 589.04862
V = 589 cm^3
Cylinder B -
Surface Area:
A = 2πrh + 2πr^2
A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476
A = 186.9 cm^2
Volume:
V = πr^2h
V = π · 12.25 · 5 ≈ 192.42255
V = 192.4 cm^3
Answer:
a) surface area: 125pi volume: 187.5pi
b) (i dont know what you mean by "in terms of ." so ill give both)
surface area: 210pi or 659.734 volume: 61.25pi or 192.422
Step-by-step explanation:
a) surface area is this
2pirh+2pir^2
plug it in..
2pi(5)(7.5)+2pi(5)^2
simplify...
75pi+50pi
125pi
volume is this
pir^2h
plug it in...
pi(5)^2(7.5)
simplify...
187.5pi
b is basically same steps.
(i had to replace all the pi symbols with "pi" because it was inappropriate???)
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Find the missing side
Answer:
x = 71.5 in
Step-by-step explanation:
Remember the SOHCAHTOA rule
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case, we use: CAH.
cos(52) = 44/x
x = 44/cos(52)
x = 71.5 inches
Please help me kitty <3
•multiple-choice answer
Answer:
Decreasing linear
Step-by-step explanation:
An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear
Find the radical equivalent of 2723 and compute it.
ASAP PLS
Need help it’s due very soon and show work please ASAP !!?
Answer:
The volume of the cylinder is 125.664 cubic inches, without rounding off
help! f(x)=x^2 what is g(x)
Answer:
C.) g(x) = 3x^2
Out of 260 racers who started the marathon, 235 completed the race, 17 gave up, and 8 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.
Answer:
9.6% or 9.7% did not finish
Step-by-step explanation:
You can solve this 2 different ways:
First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.
Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.
They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)
The perimeterof a squareis 20 feet.
What is the area of the square?
Answer:
C. 25 ft²
Step-by-step explanation:
the length of side = 20/4 = 5 ft
so the area of the square = 5² = 25 ft²
Answer:
C: 25 ft2
Step-by-step explanation:
Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!
The gardern is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed. The rest of the area is lawn. Pete sprays the lawn. The spray cost 0.35 per 3m2
Given :
The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.
Solution :
Area of lawn = Area of garden - area of garden patch - area of flowerbed.
[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]
Total cost of spray is given by :
[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]
Hence, this is the required solution.
given AB is a diameter, find the measure of
Answer:
Angle BCA = 90
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle
Where the angle opposite of the hypotenuse ( or diameter ) is the right angle
Angle BCA is the angle opposite of the diameter
Hence BCA = 90
Find the value of X and BD
Answer:
x = 2, BD = 13
Step-by-step explanation:
Given 2 intersecting chords , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )
5x - 1 = 9 ( add 1 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13
can someone help please
Answer:
isn't it b i remember doing something almost the same as this
Answer:
24
Step-by-step explanation:
f(4) means you plug the 4 into the equation so 4 x 4= 16
then 3(4)= 12
16+12-4=24
An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2ft
Step-by-step explanation:
Depth = volume / ( length x width)
11.81 / (2.8 x 1.7)
11.81 / 4.76
depth = 2.48
2 ft (to the nearest whole number)
If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?
Answer:
99407/100000
Step-by-step explanation:
100000 - 593 = 99407
The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be
Answer:
7 m
Step-by-step explanation:
63/9=7 and 7*9=63
Answer: 7.
Step-by-step explanation:
Divide 63 and 9 and you get 7. Remember, length times width equals area.
find the slope of the line between the following two points (-5,-1), (-1,9)
respond quick please :)
Answer: The slope of the line is -2
Step-by-step explanation:
We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this
[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]
Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
What is the area of the square
One side has 5 feet
A)10 square feet
B) 25 square feet
C) 20 square feet
D) 5 square feet
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]
Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the bridge stands 761 feet above Jayden’s viewing point on the boat, what is the horizontal distance from Jayden to the bridge?
The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The angle of elevation of 42⁰
The bridge stands 761 feet above
Here the horizontal distance will be calculated as:-
[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]
Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.
To know more about Trigonometry follow
https://brainly.com/question/24349828
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¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
a + x = -3 với a = 5 . Tìm x
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...Can you help me solve this please by telling my how they are congruent. please your my only hope....
Answer:
they are congruent im pretty sure
Step-by-step explanation:
looks like they are congruent by SAS
find the length of side x in simplest radical form with a rational denominator.
======================================================
Explanation:
Both legs are the same length, as indicated by the tickmark.
a = [tex]\sqrt{10}[/tex]b = [tex]\sqrt{10}[/tex]c = xUse the pythagorean theorem to solve for x
[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]
Do y’all know this?
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
Please only respond if you know it’s correct
Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
Answer:
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
can someone help me !
Answer:
Wouldn't it be B?
Step-by-step explanation:
When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.
So it would be 5i?
5si = good
Geometry geometry help
Answer:
x = 32
Step-by-step explanation:
The sum of all interior angles of this pentagon is 540
Solve for x by using this formula
540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)
540 = 700 - 5x
540 - 700 = -5x
-160 = -5x
-160/-5 = x
32 = x