Answer:
B. 8cm
Step-by-step explanation:
radius = 4cm
volume = 4/3 π r³
volume = 4/3 *3.14 *4³ (π = 3.14)
volume = 268cm³
hope it is help you
Consider the 4th roots of 16[cos(π) + i sin(π)].
The roots are located on a circle with center at the origin and radius of ....
The arguments of two successive roots differ by.... π units along the circumference of a circle.
Answer:
2 1/2
Step-by-step explanation:
The roots are located on a circle with a center at the origin and a radius of 4. The arguments of two successive roots differ by (1/2)π units along the circumference of a circle.
What is the Circumference of a circle?The circumference of a circle is defined as the product of the diameter of the circle and pi.
The 4th roots of 16[cos(π) + i sin(π)] are the 4th roots of -16i. These roots are located on a circle with a center at the origin and a radius of 4 because the 4th roots of a complex number are equally spaced on a circle with a radius equal to the absolute value of the complex number.
The arguments of two successive roots differ by π/2 units along the circumference of a circle. This is because there are 4 roots and the circle has a circumference of 2π, so each root is spaced 2π/4 = π/2 units apart along the circumference of the circle.
For example, the first root is located at (4, 0) on the complex plane, which corresponds to an argument of 0.
The second root is located at (0, 4) on the complex plane, which corresponds to an argument of π/2.
The third root is located at (-4, 0) on the complex plane, which corresponds to an argument of π.
The fourth root is located at (0, -4) on the complex plane, which corresponds to an argument of 3π/2.
Thus, you can see that the arguments of the roots differ by π/2 units.
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Find the measure of angle B
Answer:
15 - 86
16 - 115
17 - 60
18 - 74
Step-by-step explanation:
Factor: y = x^7 + 65x^4 + 64x
Answer:
y=x^7+65x^4+64xu200b
Step-by-step explanation:
What is the slope of y = 1 + 5?
Answer:
1
Step-by-step explanation:
I'm guessing it's 1x, but the first number is always the slope.
(hope this helps!)
Use the discriminant to determine the nature of the roots of the following equation.
x2 + 2x + 5 = 0
imaginary root
Double root
real and rational root
real and irrational root
Answer:
Step-by-step explanation:
disc.=b²-4ac=2²-4×1×5=4-20=-16<0
it has imaginary roots.
Why do the points ( 3 , 2 ) , ( 5 , 4 ) and ( 7 , 6 ) not form a triangle ?
~Thanks in advance ! ツ
Answer:
Because it doesn't form a triangle, it doesn't even form a shape in general, it only forms a linear line.
Step-by-step explanation:
Here is a picture down below so you can see what I mean. No triangle just a line
PLS help quickest and accurate answer gets brainliest Mrs. Meadows wants to tile a wall to serve as a splashguard above a basin in the basement. She plans ot use equal-sized tiles to cover an area that measures 48 inches by 36 inches. What is the area of the maximum-size square tile Mrs. Meadows can use and not have to cut any of the tiles? Write your answer as inches squared.
Answer
1729 in^2
Step-by-step explanation:
48 in x 36 in= 1728 in^2. A=LxW
Can someone help me with this? Please n thank u
Answer:
1. 15°
2.64°
3. 50°
4.38°
Step-by-step explanation:
5=1/3(2x+12)
Solve for X in simplest form
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Answer:
x = 3/2
Step-by-step explanation:
Multiply by 3 and solve the resulting 2-step equation.
5 = (1/3)(2x +12)
15 = 2x +12 . . . . . . multiply by 3
3 = 2x . . . . . . . . . . subtract 12
3/2 = x . . . . . . . . . . divide by 2
Convert decimals to fractions
.37
2.4
.33
Please help
Answer:
1. 37/100
2. 2 2/5 or 12/5
3. 33/100
Step-by-step explanation:
Answer: 37/100.
2 2/5.
33/100
Step-by-step explanation:
I recommend using symbolab.com for further steps and calculator
Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *
Answer:
V≈565.5cm³ is the answer
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? number or guest
Answer:
Number of guests = 10
Step-by-step explanation:
Given that:
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables.
Let,
x be the number of guests.
A(x) = 15x + 100
B(x) = 20x + 50
For the cost to be equal;
A(x) = B(x)
15x + 100 = 20x + 50
100 - 50 = 20x - 15x
50 = 5x
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{50}{5}\\x=10[/tex]
Hence,
Number of guests = 10
The answers too them
Answer:
$324.37
Step-by-step explanation:
First question already answered in other post.
Second Question:
Original price before discount and tax: $354
Discount: 15%
100% - 15% = 85% = 0.85
0.85 * $354 = $300.90
Tax: 7.8%
100% + 7.8% = 107.8% = 1.078
1.078 * $300.90 = $323.37
Answer: $324.37
300g of bananas cost £1.80. how much does 1kg cost?
Answer:
£6
Step-by-step explanation:
300 g = .3 kg
We can use ratios to solve
.3 kg 1 kg
------------- = -----------
1.8 x
Using cross products
.3x = 1 * 1.8
.3x = 1.8
Divide each side by .3
.3x/.3 = 1.8/.3
x =6
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?
Answer:
12
Step-by-step explanation:
12/5 = 2.4
2.4(x)
if x = 5 then,
2.4(5) = 12
Answer:
12.5 or 25/2
Step-by-step explanation:
you do 30/12 get 2.5 then do 2.5 times 5 to get 12.5 or 25/2
A grocery store sells 6 bottles of water for $4 and 18 bottles for $10. Is the cost of the water proportional to the number sold?
Proportional
Nonproportional
Answer:
Non Proportional
Step-by-step explanation:
Make a proportion:
For example say you want to test out how many bottles of water you can buy for $10
Proportion:
4 - 6
10 - ?
Solve: 10×6÷4=15
So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.
HELP!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3
Will give Brain!! To this
Answer: 13.2
Step-by-step explanation:
the ratio between the given measurements (11 and 5) is 2.2 [5 x 2.2 = 11]
so, i just multiplied 6 by 2.2 , which equals 13.2 .
hope this helps! xoxo
Answer:
13.2
Step-by-step explanation:
6x2.2=13.2 The triangles are equal and its size is increased by 2.2
20% of what number is 36?
Provide an exact fraction answer. (Mixed fraction) please show how you got your answer ;) Thank you in advance
Answer:
180
Step-by-step explanation:
180 * .2 = 36
20% is the same thing as 1/5 of something, so read the question again,
"36 is 1/5 of what number?"
Multiply 36 by 5 to get 180
Double check yourself by finding 20% of 180
180 * .2 = 36
Hope this helped, queen!
Can someone please help me
9514 1404 393
Answer:
41.7 nautical miles
Step-by-step explanation:
It can help to draw yourself a diagram. It will show you the desired distance is the hypotenuse of a right triangle with side lengths 36 and 21. The Pythagorean theorem can be used to find the distance of interest.
d² = 36² +21²
d² = 1296 +441 = 1737
d = √1737 ≈ 41.6773
The ship is about 41.7 nautical miles from the starting point.
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
a) Solve 3(x – 5) = 18
Answer:
x = 11
Step-by-step explanation:
3(x-5) = 18
Step one: Distrubute 3 to the numbers in the parenthesis.
3x - 15 = 18
Step two: Add 15 on both sides
3x = 33
Step three: Divide by 3 on both sides
x = 11
The camp cook made 5 5/8 pints of baked beans. Each serving of beans is 5/8 of a pint. How many servings of beans did the cook make?
please help like right now
Answer:
y-interceptSloperise over runnegativepositiveUndefinedZeroSlopey-interceptStep-by-step explanation:
I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)
4 1/5 x 5/14 in its simplest form
Answer:
1.5 as fraction it is 3/2 in simplest form
Step-by-step explanation:
The simplest form of the expression given is 3/2
What is an expression?A mathematical statement containing variables, numbers and connected by a mathematical operator is called an expression.
Given that, an expression [tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
We are asked to simplify them,
[tex]4\frac{1}{5}[/tex] × [tex]\frac{5}{14}[/tex]
= 21 / 5 × 5 / 14
= 21 / 14
= 3/2
Hence, the simplest form of the expression given is 3/2
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A boarding school distributes 5% of its actual profit Rs.97440 among 20 teachers as a bonus. Find the bonus amount that the each teacher get.
The dimensions of a rectangle are given in terms of S as shown below or above.
Q. Which expression represents the perimeter of the rectangle? Mark all that apply.
Answer:
A and D
Step-by-step explanation:
It should be Sx2 + 2(S+ 1/2)
Which is equal to 4s+1
and 2(2s + 1/2) is equal to 4s+1 as well
Given: in a right triangle, cot0 = 28/45
1. what is csc0
2. what is sec0
Answer:
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Step-by-step explanation:
Step(i):-
Given that
[tex]cot 0 = \frac{28}{45} = \frac{adjacentside}{opposite side}[/tex]
Hypotenuse AC² = AB²+BC²
⇒ AC² = 45²+28² = 2809
⇒ AC = √2809
⇒ AC = 53
Hypotenuse AC =53
Step(ii):-
i) [tex]cosec0 = \frac{hypotenuse}{opposite side} = \frac{53}{45}[/tex]
ii) [tex]sec0 = \frac{hypotenuse}{adjacent side} = \frac{53}{28}[/tex]
Lin says that 23 is a prime number. Is Lin correct?
Answer:
Yes, Lin is correct.
Step-by-step explanation:
23 is a prime number because it has only two distinct divisors: 1 and itself (23).