Answer:
The radius of the cylinder is 2.52 cm.
Step-by-step explanation:
The formula for the volume of a cylinder of radius r and height h is
V = πr²h. We can solve this for r² by dividing both sides of the equation by πh:
r² = V / (πh)
Then the desired radius is found by taking the square root of this.
r = √{V / [πh]}
200 cm^2
Here, r² = ------------------- = 6.37 cm^2
3.14(10 cm)
and so r = √6.37 cm^2 = 2.52 cm
The radius of the cylinder is 2.52 cm.
Answer:
radius = 2.52 cm
Step-by-step explanation:
[tex]Volume = \pi r^2 h\\\\200 = \pi r^2 \times 10\\\\\frac{200}{10 \times \pi} = r^2 \\\\6.332 = r^2 \\\\\sqrt{6.332} = r \\\\r = 2.52 \ cm[/tex]
The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer
Answer:
216 square feet
Step-by-step explanation:
Cement patio outside of lawn
(36*13)-(28*9)
468-252
216
Answer:
216
Step-by-step explanation:
10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10
In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.
Answer:
Option B
Step-by-step explanation:
Of those surveyed, 26 percent said free international trade helped the economy.
They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.
Hence, option B is correct
Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).
Answer:
Step-by-step explanation:
I'm going to assume you meant y = ab^x. If this is not correct, leave a comment.
x = 0
y = 7
7 = a * b^0
anything to the zero power is 1
y = a*b^0
y = a*1
7 = a
So far what you have is
y = 7 * b^x
Now let
x = 9
y = 3584
3584 = 7 * b^9 Divide by 7
3584/7 = b^9
512 = b^9
If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.
So the easiest way is to find out what raised to the 9th power will equal 512
Could b = 5?
5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512
So let's try b = 3
3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.
We have just one more number that we can try.
2^9 = 512 and we have it
Answer y = 7*2^x
Which of the following is the function f(x) if f^-1(x) = 5x - 19?
A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19
Answer:
number of A is correct answer
The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for .
Answer: 18.84
Step-by-step explanation:
Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.
Step-by-step explanation:
x-intercept => point (2, 0)
y-intercept => point (0, -4)
What is the length of the radius, r?
Answer:
half the length of diameterStep-by-step explanation:
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75 percent of $82 i know the answer how do i solve helppppp
Answer:
61.5
Step-by-step explanation:
75% of 82 = [tex]\frac{75}{100}*82[/tex]
= 0.75 * 82
= 61.5
Answer:
$61.50
Step-by-step explanation:
You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.
Find the area of the shape below. GUS PLEASE HEL
Answer:
122 squared cm
Step-by-step explanation:
[tex]6*12=72[/tex]
[tex]10*5=50[/tex]
[tex]72+50=122[/tex]
Hope this helps
Answer:
122 squared cm
Step-by-step explanation:
First we split the figure into 2
12 x 6
And,
10 x 5
12 x 6 = 72
and
10 x 5 = 50
Now we add 72 + 50 = 122
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
6x-27=-3x
solve for x:D
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
Which graph shows a polynomial function of an even degree?
the answer is the first graph, A
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
I feel like i’m wrong lol, Correct me please.
3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}
Answer:
A. {-3,0,3,4,5,6,7, 11}
Step-by-step explanation:
I'm prettybsure that A is the range because the range of numbers goes from -3 to 11
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
Which of the binomials below is a factor of this trinomial? x2 + x-20
Answer:
the answer is c.x-4
Step-by-step explanation:
x^2+x-20
x^2+5x-4x-20
x(x+5)-4(x+5)
(x-4) (x-5)
give the answer in cm^2
p.s the answer is not 66
Answer:
45 cm^2
Step-by-step explanation:
area of the figure
split the figure and form to figure rectangle and square
for rectangle
length = 6 cm + 3 cm
=9 cm
breadth = 4 cm
area of rectangle = l*b
=9 cm * 4 cm
=36 cm^2
for square
length =3 cm
area of square = (3 cm)^2
=9 cm^2
area of figure = area of rectangle + area of square
=36 cm^2 + 9 cm^2
=45 cm^2
Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4
Answer: 23692929
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex](25x-4)^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
PLS ANSWER ASAP DUE AT 9:20
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
PLEASE HELP MEEEEE
If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?
Answer:
30g of Sugar
Step-by-step explanation:
200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)
40g of sugar in the sugar water, 10 g taken. 40-10=30
Hope this helps!
:)
i need help with 3x + 1 >_ 22=
Answer:
x>7
Step-by-step explanation:
What is the volume of this cylinder? 6m, 7m
Answer:
[tex]198\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.
What we're given:
[tex]r[/tex] of 3[tex]h[/tex] of 7Substituting given values, we get:
[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.
Answer:
Volume of cylinder is 197.82 m ³.
Step-by-step explanation:
Here,
We have given thatDiameter of cylinder = 6 m
So, Radius of cylinder, r = 6 / 2 = 3m
Height of cylinder , h = 7 m
Value of π = 3.14
To find :-Volume of cylinder
Solution :-We know that,
Volume of cylinder = π × r ² × h
Substitute the values
Volume of cylinder = 3.14 × ( 3m ) ² × 7 m
volume of cylinder = 3.14 × 9m² × 7 m
Multiply , we get
Volume of cylinder = 197.82 m ³
Therefore, The volume of cylinder id 197.82 m ³.
The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b
Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6
Answer:
D, 34.8 + b =54.6
[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
