Answer:
44.6cm³
Step-by-step explanation:
V=3/4×3.14×2.2³=44.6cm³
Answer:
Option 2) 44.6 cm³ os the correct answer.
Step-by-step explanation:
SOLUTION :
Here we have given that the radius of the sphere is 2.2 cm. We have to find the volume of sphere.
Finding the volume of sphere by substituting all the given values in the formula :
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3}\pi{r}^{3}}}}[/tex]
V = volume π = 3.14 r = radius[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3}\pi{r}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(2.2)}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 10.65}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{\cancel{3}} \times 3.14 \times \cancel{10.65}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 4 \times 3.14 \times 3.55}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 12.56 \times 3.55}}}[/tex]
[tex]\quad{\longrightarrow{\sf{V_{(Sphere)} = 44.58 \: {cm}^{3}}}}[/tex]
[tex]\quad{\longrightarrow{\sf{\underline{\underline{\pink{V_{(Sphere)} \approx 44.6 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of sphere is 44.6 cm³.
————————————————PLEASE HELPP LATE NIGHT HWEHWHWHWHHW
what is the question tho?
[1/3] to the power of 4 as a fraction
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
[tex](\frac{1}{3} )^{4}[/tex]
We know this is written as
[tex]\frac{1}{3}*\frac{1}{3}*\frac{1}{3}*\frac{1}{3}[/tex]
Let's solve:
[tex]\frac{1}{3} * \frac{1}{3} = \frac{1}{9}\\ \frac{1}{9} *\frac{1}{3} = \frac{1}{27} \\\frac{1}{27} * \frac{1}{3} = \frac{1}{81}[/tex]
Which of these problems would require regrouping before solving?
Select the correct answer.
647 - 283
916 - 812
824 - 503
295 - 194
Find 5% of 110km/h
With steps please.
Answer:
5.5 km/h
Step-by-step explanation:
→ 5% of 110
→ (5/100) × 110
→ 0.05 × 110
→ 5.5 km/h
Solve this problem , please
Answer:
1. 20.724 or 6.6π
2.3.14 or π
3. 15.7 or 5π
4. 9.42 or 3π
5. 25.12 or 8π
6. 18.84 or 6π
Step-by-step explanation:
just ask :)
HELP ASAP WILL MARK BRAINLIEST
Which equation is true?
Answer:
C Hope this helps This may be wrong though
Step-by-step explanation:
Mayra has 3 cats. Luis has twice as many cats as Mayra.
Write an expression for the number of cats Luis has:
Write an expression for the number of cats Luis and Mayra have together:
2. Each cat eats about ½ cup of cat food a day.
Write an expression for the amount of cat food all the cats eat in one day:
Write an expression for the amount of cat food all the cats eat in one week:
Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon is One-half times the apothem times the perimeter. V = cm3 Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3 Find the volume of the composite figure. V = cm3 Calculate the density by dividing the mass by the volume. D = g/cm3.
Answer:
(A) ✔ 0.45
(B) ✔ 0.06
(C) ✔ 0.39
(D) ✔ 7.77
Step-by-step explanation:
Got it right, hope this helps!
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be less than 24 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Answer:
Possible base lengths are 1, 2, 3, 4, 5
Step-by-step explanation:
Area = base x height / 2
Let base be b
b x 8 / 2 < 24 (Area < 24)
4b < 24
b < 6
what is the answer for (b)?
Answer:
(b) ∠ADC = 60°Step-by-step explanation:
ΔBOC is isosceles and M is the midpoint of BC
then
∠MOC = ∠BOM = 30°
then
∠BOC = 60°
……………………
OC // AB
then
∠ABO = ∠BOC = 60° (alternate-interior angles)
……………………………………………
In ΔOAB ,we have :
OA = OB and ∠ABO = 60°
Then ,
ΔOAB is an equilateral triangle.
then
∠AOB = 60°
……………………………
We get :
∠AOC = ∠AOB + ∠BOC = 60° + 60° = 120°
……………………………………………………
∠ADC = ∠AOC/2 = 120/2 = 60°
James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallons of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(100 POINTS!!!!)
Answer:
3/8 gallons
Step-by-step explanation:
Let T be the total amount of water which can fill the bin.
The equation formed will be :
2/3 × T = 1/4 gallonsNow, multiply each side by 3 :
3 × 2/3 × T = 1/4 × 32T = 3/4Divide each side by 2 :
2T/2 = 3/4 x 1/2T = 3/8 gallonsLet the total gallons be x
1/4=2/3xMultiply 3 to complete whole bin
3/4=2/3(3)x3/4=2xx=3/8gallonsSolve.
45 = 4(a + 3) – 3
Answer:
a = 9
Step-by-step explanation:
45 = 4(a + 3) – 3
Add 3 to both sides.
48 = 4(a + 3)
Divide both sides by 4.
12 = a + 3
Subtract 3 from both sides.
9 = a
a = 9
Answer: a = 9
4(6x + 87)
9(5 x 89p)
(45 - 9) x 12
Answer:
Simplify????
1. 24x + 348
2. 4005p
3. 432
Step-by-step explanation:
Step-by-step explanation:
first one- 24x + 348
second one- 4005p
third one- 432
Susan has some beads in a bag.!!
5 of the beads are orange.!!
3 of the beads are purple.!!
The rest of the beads are pink. !Susan takes a bead from the bag at random.! The probability that she takes a pink bead is ⅗!How many pink beads are in the bag before Susan takes a bead?
Answer:
12
Step-by-step explanation:
If there are 5 orange beads, and 3 purple beads, that means there is 8 beads that aren't pink in the bag.
If the rest are pink, and it's 3/5, that means 8 is 2/5. Divide by 2, and 4 is 1/5.
We can conclude that there are 12 pink beads, which is 3/5 of the total beads, by adding 2/5 and 1/5 (8 and 4)
The remaining 2/5 are the orange and purple beads.
Use an identity to find the value of
Answer:
sin Ф.
Step-by-step explanation:
Cos (-270) = cos 90 = 0 and sin(-270) = sin 90 = 1.
So cos ( Ф - 270) = cos Ф cos (-270) + sin Ф sin(-270)
= cos Ф * 0 + sin Ф * 1
= sin Ф.
Pleaseeee helpppp!!
the function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. the function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy companyThe function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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The function for the total cost will be given as h(x) = 5.94x + 2.25.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company
The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.
The function h(x) for total cost will be calculated as:-
h ( x ) = 4.95x + 0.99x + 2.25
h ( x ) = 5.94x + 2.25
Therefore the function for the total cost will be given as h(x) = 5.94x + 2.25.
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Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction?
Step-by-step explanation:
The option "StartFraction 1 Over 3 Superscript 8" is correct
That is 138 is correct answer
Therefore [(2−2)(34)]−3×[(2−3)(32)]2=138
Step-by-step explanation:
Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline)
The probability of pulling a blue marble from a bag is 0.25.
Which bags of marbles are good models for this probability?
Select two that apply.
✓5 yellow, 9 red, 3 blue
6 yellow, 5 red, 10 blue, 12 green, 7 purple
10 yellow, 3 red, 10 blue
O 1 yellow, 2 red, 3 blue, 5 green, 1 purple
Answer:
The second and fourth choices.
Step-by-step explanation:
Probability of getting a blue marble = 0.25 = 1/4.
Therefore the number of blue bags will be 1/4 of the total of marbles.
The second choice has 10 blue marbles out of a total of 40, so this is one.
The 4th bag has 12 marbles of which 3 are blue. 3/12 = 1/4 so this is another answer which is correct.
Answer:
option 2 and 4
Step-by-step explanation:
add up all the values given then divide the number of blue given.
If 8% of the pupils in a class are absent and there are 46 present, what is the number of pupils in this class when all are present?
Answer:
50
Step-by-step explanation:
100% - 8% = 92%
Proportions:
46 ⇒ 92%
A ⇒ 100%
A = 46*100/92
A = 4600/92
A = 50
a water park sold 13 child tickets and 87 adult tickets. what percentage of the tickets sold were child tickets?
Answer:
13%
Step-by-step explanation:
Total is 100 tickets sold as 13+87=100, 13/100 is 13%
Before his shopping spree, Jim owned 133
bracelets. Then he bought 138 more
bracelets. What is the ratio of bracelets
purchased to resulting total number of
bracelets?
Answer:
271 to 133
Step-by-step explanation:
does anyone know how to do this?
Answer:
[tex]196 m^{2}[/tex]
Step-by-step explanation:
A square is a shape that which all sides are equal
14 is one side of the square and to find the area of a square/rectangle, you do length*width
14*14=196
please to god help i need help, im stopid
Answer:
A and C
Step-by-step explanation:
Because the numbers are smaller so you need to look for a bigger number than what the number you have is.
An experiment consists of rolling a number cube. What is the probability of rolling two 4's in a row?
Answer:2/12
Step-by-step explanation:
2/12 is the probability of rolling 2 4's in a row.
Find the distance between the two points in simplest radical form.
(-5, -4) and (3, – 7)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-5)]^2 + [-7 - (-4)]^2}\implies d=\sqrt{(3+5)^2 + (-7+4)^2} \\\\\\ d=\sqrt{8^2 + (-3)^2}\implies d=\sqrt{64+9}\implies d=\sqrt{73}[/tex]
Triangle RST is shown below. What is the length of ST?
R
13
5
S
a.) 12
b.) 5
c.) 18
d.) 8
Answer:
A: 12
Step-by-step explanation:
Using the pythagoreom theorem, a^2+b^2=c^2. We can plug in the lengths of 5 and 13 which is 5^2+b^2=13^2. Now we can square the numbers to get 25+b^2=169. Subtract 25 from 169 to get 144. Now find the square root of 144 which is 12.
Parallelogram calculations
#1
Area
Length×Breadth5(2.5)12.5mi²#2
Area
1/2BH1/2(16)(5)8(5)40ft²#3
Area
BH24(6)144cm²#4
Area
BH7(4)28m²Answer:
Part (b)
Formula: Area of a rectangle = width × length
Substitution: Area = 2.5 mi × 5 mi
Answer: Area = 12.5 mi²
Part (c)Formula: Area of a triangle = 1/2 × base × height
Substitution: Area = 1/2 × (12 ft + 4 ft) × 5 ft
Answer: Area = 40 ft²
Part (e)Formula: Area of a parallelogram = base × height
Substitution: Area = 24 cm × 6 cm
Answer: Area = 144 cm²
Part (f)Formula: Area of a parallelogram = base × height
Substitution: Area = 7 m × 4 m
Answer: Area = 28 m²
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur
The absolute maximum of the function is 184 and the minimum value of the function is -72.
What is the absolute maximum value?If the graph of an absolute value function opens downward, the y-value of the vertex is the maximum value of the function.
Given the function f(x) = x⁴-18x²+9 at the interval [-5, 5], the absolute maximum and minimum values at this endpoints are as calculated;
At end point x = -5
f(-5) = (-5)⁴-18(-5)²+9
f(-5) = 625-450+9
f(-5) = 184
At end point x = 5
f(5) = (5)⁴-18(5)²+9
f(5) = 625-450+9
f(5) = 184
To get the critical point, this point occurs at the turning point i.e at
dy/dx = 0
if y = x⁴-18x²+9
dy/dx = 4x³-36x = 0
4x³-36x = 0
4x (x²-9) = 0
4x = 0
x = 0
x²-9 = 0
x² = 9
x = ±3
Using the critical points [0, ±3]
when x = 0, f(0) = 0⁴-18(0)+9
f(0) = 9
Similarly when x = 3, f(±3)= (±3)⁴-18(±3)²+9
f(±3) = 81-162+9
f(±3) = -72
It can be seen that the absolute minimum occurs at x= ±5 and the absolute minimum occurs at x =±3
absolute maximum = 184
absolute minimum = -72
Hence, the absolute maximum of the function is 184 and the minimum value of the function is -72.
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Find the area of one petal of the polar curve r = 5sin 2θ
The area of one petal of the polar curve r = 5 sin 2θ would be 25π/4.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The polar curve r = 5sin 2θ
When r = 0, θ = 0, π/2 which corresponds to one loop.
We need the limits to provide r=0 or cos(5x) =0 so:
Therefore the area of the region enclosed by this curve is
[tex]A = \dfrac{1}{2} \int\limits^a_b {r^{2} } \, d\theta \\\\\\A = \dfrac{1}{2} \int\limits^{\pi /2}_0 {25sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 {sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 \dfrac {1-cos^{2}4\theta } {2}\, d\theta\\ \\\\A = \dfrac{25}{2}( \theta - \dfrac {sin4\theta} {2})\, d\theta |^{\pi /2}_0\\\\\\A = \dfrac{25}{2} \times \dfrac{\pi }{2} \\\\\\A = \dfrac{25\pi }{4}[/tex]
Thus, the area of one petal of the polar curve r = 5sin 2θ would be 25π/4.
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I need help phase 15 points
A. Rectangle
B. Triangle
C hexagon
D. Square
Answer:
looks like a triangle to me
Step-by-step explanation: