Answer:
The volume of the sphere is 20 m
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of the cylinder [tex]= 30m^3[/tex]
Required
Volume of the sphere
First, we need to calculate the radius of the cylinder
The formula goes thus
[tex]V = \pi r^2h[/tex]
By substituting 30 for V, we have
[tex]30 = \pi r^2h[/tex]
Divide through by h
[tex]\frac{30}{h} = \frac{\pi r^2h}{h}[/tex]
[tex]\frac{30}{h} = \pi r^2[/tex]
Calculating the volume of the sphere
The formula goes thus
[tex]V = \frac{4}{3}\pi r^3[/tex]
Expand Expression
[tex]V = \frac{4}{3} * \pi r^2 * r[/tex]
Substitute [tex]\frac{30}{h} = \pi r^2[/tex]
[tex]V = \frac{4}{3} * \frac{30}{h} * r[/tex]
Simplify Expression
[tex]V = \frac{4}{1} * \frac{10}{h} * r[/tex]
[tex]V = \frac{40}{h} * r[/tex]
Given that the height of the cylinder and the sphere are equal
This means that the height of the cylinder equals the diameter of the sphere.
Mathematically; This is represented by
h = D
Where D represents diameter of the sphere
Recall that D = 2r (2 * radius)
Substitute 2r for D
h = 2r
Substitute h = 2r in [tex]V = \frac{40}{h} * r[/tex]; This gives
[tex]V = \frac{40}{2r} * r[/tex]
[tex]V = \frac{40r}{2r}[/tex]
[tex]V = 20[/tex]
Hence, the volume of the sphere is 20 m
pls help me!! i will mark brainliest!
Answer:
35 deg
Step-by-step explanation:
1/2(100 - 30 deg) = 35
The given figures are similar. Use the given scale factor to solve for X! Please help
Answer:
b) 12
Step-by-step explanation:
30/5=3x/6
criss cross the equation to make: 15x=180
move the co-efficient of x to the other side by dividing 180 by 15
so x=12
What is the surface area of this rectangular prism?
Answer:
Step-by-step explanation:
l = 5 in
w = 5 in
h = 12 in
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(5*5 + 5*12 + 12*5)
= 2*(25 +60 +60)
= 2*145
= 290 in²
The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches
math question below!!
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
Find the greatest common factor of 16m^3 and 20a^4.
Answer:
4
Step-by-step explanation:
16 m^3 =4*4 * m^3
20 a^4 = 4*5*a^4
The greatest common factor is 4
Answer:
4
Step-by-step explanation:
16m³: 2⁴ × m³
20a⁴: 2² × 5 × a⁴
GCF: 2² = 4
Simplify 17 1/2 - (-9 3/8)
ASAP please extra poonts
Answer:
I believe the answer is 26 7/8
Step-by-step explanation:
Answer:
26 7/8
Step-by-step explanation:
17 1/2 - (-9 3/8)
Get a common denominator of 8
17 1/2*4/4 - -9 3/8
17 4/8 - -9 3/8
We know that subtracting a negative is adding
17 4/8 + 9 3/8
Add the whole numbers
17+9 = 26
Add the fractions
4/8+3/8 = 7/8
26 7/8
The sum of two numbers is 1633 and their difference is 35 . Find the two numbers.
Answer:
834 and 799
Step-by-step explanation:
x+y=1633
x-y=35
2x= 1668
x=834
y=799
Hope this helps!
The solution is, the required two numbers are, 834 and 799.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
given that,
The sum of two numbers is 1633 and their difference is 35 .
let, the two numbers be x & y.
then, we get,
x+y=1633
x-y=35
adding we get,
2x= 1668
x=834
and,
y=799
Hence, The solution is, the required two numbers are, 834 and 799.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Does 22, 95 and 63 form a triangle ? Explain
Answer:
yes
Step-by-step explanation:
because the angles can be, acute, obtuse or right.
Answer:
yes
Step-by-step explanation:
The answer is yes because the angles add up to 180
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?
Answer: A softball player will need to raise more.
Step-by-step explanation:
The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:
$318.12 ÷ 12 = $26.51
The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:
$391.92 ÷ 24 = $16.33
A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees
Answer:
15:1
Step-by-step explanation:
If AQSR - AYXZ describes two triangles, which other statement is also true?
Answer:
RSQA ~ ZXYA
Step-by-step explanation:
Drake rolls two fair number cubes.
ANN
1
2
| 3
4
5
6
1
1
2
3
4
5
6
2 3 4 5
2 3 4 5
4 6 8 10
6 9 12 15
8 12 16 20
10 15 20 25
12 18 24 30
6
6
12
18
24
30
36
What is the probability that the product of the two numbers Drake rolls is less than 14? Enter your answer
as a fraction in simplest form
The probability that the product is less than 14 is
Answer:
23/36
Step-by-step explanation:
In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36
A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area of the panel and the length of the wooden frame around the panel.
Use the prices given given in the attachment to find out how much the shop charges per square metre of the panel and per metre for the wooden frame .
a) Each 1m² of fence panel costs:?
b) I metre of wooden frame costs:?
Plz answer this question.
Answer:
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Step-by-step explanation:
Let the price of 1 sq.m. of fence panel be x
Let the price of 1 m of wooden frame be y
In Fig 1
Length = 4 m
Breadth = 3 m
Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(4+3)=14 m
Cost of 1 m of wooden frame = y
Cost of 14 m of wooden frame = 14y
We are given that total cost of framing and fencing is 38
So. 12x+14y=38 ----1
In Fig 2
Length = 6 m
Breadth = 2 m
Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(6+2)=16 m
Cost of 1 m of wooden frame = y
Cost of 16 m of wooden frame = 16y
We are given that total cost of framing and fencing is 40
So. 12x+16y=40---2
Substitute the value of 12x form 1 in 2
38-14y+16y=40
2y=2
y=1
Substitute the value of y in 2
12x+16=40
12x=24
x=2
So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1
In fig 3
To verify :
Length = 3 m
Breadth = 5 m
Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]
Cost of 1 sq.m. = 2
Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]
Perimeter =2(l+b)=2(3+5)=16 m
Cost of 1 m of wooden frame = 1
Cost of 16 m of wooden frame = 16
So, Total cost = 30+16=46
We are given that cost of fencing and framing is 46
Thus verified
Hence
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
36 is 8 3/4% of what number?
Answer:
28.8 or 28 8/10
Step-by-step explanation:
A percentage is out of 100. We have to convert 8 3/4 into a percentage. 8 3/4 can also be written as an improper fraction 35/4. Now we have to make the denominator 100. We already knoe that 4 multiplied by 25 equals 100, then we do the same to the numerator. 35 multiplied by 25 gets us to 125. Now we got 125/100. Now since we converted the fracrion into a percentage, now what we do is divide 36 by 125% and that will get you to 28.8 or 28 8/10.
To double check your answer, you can multiply 28.8 by 125% and you will get 36.
Find the volume of this triangular prism
Answer:
4608 ft2
To find the volume of a prism, you have to multiply the area*base*height.
So in this case you have (8*8)*8*9.
That results in, 64*8*9.
You multiply them and get 4608 ft2.
Have a nice day!
These rational expressions all have the same denominator. Write the sum of their numerators over the common
denominator
2x+1/x-3 + x/x-3 + 4/x-3
A) 8x^2 + 4x/x-3
B) x+5/x-3
C) 3x+5/x-3
D) 3x+5/3(x-3)
Answer:C- 3x+5 x-3
Step-by-step explanation:
Answer:
C) 3x+5/x-3
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram:
Answer:
Counting the unit on graph, we observes:
EK = MI = 8
EK // MI // x-axis
=> MEKI is parallelogram
Hope this helps!
:)
Answer: It has two pairs of parallel lines
Step-by-step explanation:
coordinates of E (-4,4) K (4,4) M(-6,-3) I( 2,-3)
The distance from E to K is 8 the same as the distance from M to I.
The distance from M to E is about 7.3 and the distance between K and I is the the same thing.
Simplify
[tex](5 \frac{1}{6)6} [/tex]
Answer:
simplify the expression
exact form :
5/36
decimal form :
0.138
1~ Please help. What is the measure of m∠P and m∠N?
Answer:
Answer is option b)
Step-by-step explanation:
[tex]sum \: of \: opposite \: angles \: of \: a \: \\ cyclic \: quadrilateral \: is \: 180 \: degrees \\ from \: the \: diagram \\ 2x + 2x - 12 = 180 \\ 4x - 12 = 180 \\ 4x = 180 + 12 \\ 4x = 192 \\ x = \frac{192}{4} \\ x = 48 \\ angle \: P \: = 2x \\ \: \: \: = 2(48) \\ \: \: \: = 96 \: degrees \\ angle \: N \: = 2x - 12 \\ \: \: \: \: = 96 - 12 \\ \: \: \: = 84 \: degrees[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?
Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?
Answer:
cx + cy = a² + b²
Step-by-step explanation:
Next step is adding up cx and cy:
cx + cy = a² + b²Then followed by:
c(x+y) = a² + b²c² = a² + b²Answer: cx + cy = a² + b²
Step-by-step explanation:
Whoever can answer this word problem first gets Brainiest!
Answer:
150 meters
Step-by-step explanation:
Look at the attachment
Answer:
150
Step-by-step explanation:
help plz. question is in photo.
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
I'll explain rn hold up
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
Fist simplify [tex]40\sqrt{40}[/tex] :
[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]
Now simplify [tex]4\sqrt{8}[/tex] :
[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]
Insert both into expression:
[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]
Simplify:
[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]
Rationalize:
[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]
Simplify:
[tex]5\sqrt{20}[/tex]
Convert to simplest radical form:
[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]
:Done
help. quick. please.
Answer:x equals 67. 154 minus 87 is 67. 67 + 87 = 154.
Step-by-step explanation:
(Please mark brainliest)
Answer:
x=57°
Step-by-step explanation:
The unknown angle opposite x=180-154 (angles on a straight line)
=26°
Now
x=180-87-26 (angles of a triangle add up to 180°)
x=57°
Select the correct answer.
For which function is f(x) equal to f^1(x)?
Answer:
Hewo!
f(x)=x+1/x-1 would be your function equal to f^1(x).
hope it helps!
Answer:
Step-by-step explanation:
will give brainliest plz helppp!!!!
Answer:
A. True
B. False
C. False
D. False
Step-by-step explanation:
What is the surface area of a cylinder with base radius 4 and height 7?
Either enter an exact answer in terms of TT or use 3.14 for it and enter your answer as a decimal.
7
Help me plese
Answer: The surface area of the cylinder is ≈276.46
math help pls, thank u
Answer:
First pic: D)
Second pic: C)
Third pic: B)
Forth pic: A)
Fifth pic: D)
Explanation:
I'm so sorry if I got some wrong it's been a while since I've done questions like this. Tell me if I got any wrong. Although, I hope this helped!
help me please......
Answer:
Step-by-step explanation:
[tex]2^{3}*y^{12} = 8*y^{12}[/tex]
Answer:
Step-by-step explanation:
(2 x y^4)^3= 16y i am not completey sure dont put my awnser
