Answer:
78.5 cm
Step-by-step explanation:
The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.
Answer:
78.5 cm^2[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Drag and drop the angle pairs to correctly match their description. supplementary angles complementary angles vertical angles adjacent angles that are neither complementary nor supplementary AOE and COD COB and COD AOC and COD AOB and BOC
Answer:
Supplementary Angles: AOC and COD
Complementary Angles: COB and COD
Vertical Angles: AOE and COD
Adjacent Angles not supplementary or complementary: AOB and BOC
Step-by-step explanation:
Answer:
Step-by-step explanation:
Supplementary angles : AOC & COD
Complementary angles : COB & COD
Vertically angles : AOE & COD
Adjacent angles (neither complementary nor supplementary) : AOB & BOC
Elijah uses 2 pints of stain on each table that he makes . How many tables can he paint with 1 gallon of stain ? sets
Answer:
4 sets
Step-by-step explanation:
1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.
By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.
The polynomial equation x6 - 16x2 - 4x4-64 has complex roots #2;. What are the other roots? Use a graphing calculator and
a system of equations.
-64,0
-2, 2
-1, 1
0,64
Answer:
It's B
Step-by-step explanation:
Edge 2021
The roots of the polynomial equation A = x⁶ - 16x² - 4x⁴ - 64 is given by the relations x₁ = -2 and x₂ = 2
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = x⁶ - 16x² - 4x⁴ - 64 be equation (1)
On simplifying , we get
The two roots of the polynomial are 2i and -2i
And , x⁶ - 16x² = 4x⁴ - 64
Taking x² as the common factor , we get
x² ( x² - 16 ) = 4 ( x⁴ - 16 )
when x = -2
4 ( 0 ) = 4 ( 16 - 16 )
0 = 0
when x = 2
4 ( 0 ) = 4 ( 16 - 16 )
0 = 0
Therefore , the roots of the equation are 2i , -2i , 2 and -2
Hence , the polynomial equation has roots 2i , -2i , 2 and -2
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30 points A repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
Rational Number
Step-by-step explanation:
A repeating decimal added to a fraction will result in a rational number.
helppppppppppppppppppp
Answer:
1/10, 2/5, 61/100.
Step-by-step explanation:
Making them into a decimal, we get 0.61, 0.1, and 0.4. Putting them into least to greatest, we get 0.1, 0.4, and 0.61. This is thus 1/10, 2/5, 61/100.
Charlotte can't wait to read the newest issue of her favorite comic, The Notorious Ninja, so
she plans to bike 3 miles to the comic book store after school. If Charlotte can usually bike 12
miles in an hour, how many minutes will it take her to get there?
Answer:
The answer is 15
Step-by-step explanation:
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
(b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square iii)
A multiple of 5 iv)
Less than or equal to 21
v) Divisible by 4 or 6
Answer:
B)
1.) 7/64 (2.) 27/32 (3.)15/64 (4.)5/8 (5.)21/32
Step-by-step explanation:
Given the following :
Two 8 - sided fair die (1, 2, 3, 4, 5, 6, 7, 8)
Total sample space = 8^2 = 64
B1)
Probability = (number of required outcome / number of total possible outcomes)
probability of getting a prime number:
number of prime numbers in possibility diagram = 7
1) P(getting a prime number) = 7/64
11) P(not a perfect square)
Not a perfect square values in the diagram = 54
= 54 / 64 = 27 / 32
111) a multiple of 5:
Multiple of 5 in the diagram = 15
= 15 / 64
IV) Less than or equal to 21:
= 40/64 = 5/8
V) divisible by 4 or 6:
Numbers divisible by four or 6 = 42
= 42 / 64 = 21 / 32
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.
Answer:
(B) [tex]76\pi$ sq. in.[/tex]
Step-by-step explanation:
Since the base of the cone and one circular face of the cylinder is not visible,
The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+
[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]
Lateral Area of a Cone [tex]=\pi rl[/tex]
Base radius, r= 8/2 =4 InchesPerpendicular Height of the Cone = 3 InchesUsing Pythagoras theorem:
[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]
Slant Height of the Cone, l (Hypotenuse) = 5 InchesTherefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]
Therefore, Surface area of the rocket
[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]
Answer:
The answer is 76π sq. in.
Step-by-step explanation:
Took the quiz and that was correct.
Graph g(x)=−|x+3|−2 dude i absolutely hate graphing. Does anyone else do summer school algebra on keystone.? (Also i need help please)
Answer:
Graph using graphing calc or desmos.
Step-by-step explanation:
Answer:
your graph is below. i have algebra 2 on flvs.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Answer:
Yes, because both figures are rectangles and all rectangles are similar (B)
Question:
The complete question related to this found at brainly (question Id: 2996738) is stated below:
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4
b. Yes, because both figures are rectangles and all rectangles are similar.
c. No, because the center of dilation is not at (0, 0).
d. No, because corresponding sides have different slopes
Step-by-step explanation:
Coordinates of rectangle EFGH
E (-4,4), F(4,4), G(-4,0), H (4,0)
EF = 8
FG =4
GH= 8
HE= 4
Coordinates of rectangle ABCD
A (-3,3), B(3,3), C(-3,0), D (3,0)
AB = 6
BC = 3
CD = 6
DA = 3
Find attached the diagram.
Image = EFGH, pre-image = ABCD
Scale factor = (sides of the image)/(sides of the pre-image)
= 8/6 = 4/3
Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.
Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.
Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
Brian buys a computer for £1600. It depreciates at a rate of 4% per year. How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Answer:
amount = £1415.57
Step-by-step explanation:
given data
computer buy = £1600
depreciates rate = 4% per year
time = 3 year
solution
we get here amount that is express here as
amount = P × [tex](1-r)^{t}[/tex] ...................................1
here r is rate and t is time put here value
amount will be
amount = 1600 × [tex](1-0.04)^{3}[/tex]
solve it we get
amount = £1415.57
What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) = x2 + 12x + 11.
x-intercepts:
0= x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-intercept is
y-intercept
f(0) = (0)2 + 12(0) + 11
) Intro
Done
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 12x + 11 = 0 ← in standard form
(x + 1)(x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 11 = 0 ⇒ x = - 11
The x- intercepts are x = - 11 and x = - 1
To find the y- intercept let x = 0, that is
f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11
The y- intercept is 11
M is the midpoint of AB¯. Find the coordinates of B given A(–2, 1) and M(4, 3).
Answer:
B (10, 5)
Step-by-step explanation:
We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
Step 1: Solve x
4 = (-2 + x)/2
8 = -2 + x
x = 10
Step 2: Solve y
3 = (1 + y)/2
6 = 1 + y
y = 5
Put it in coordinates and we have our final answer!
Answer:
B(10,5)
Step-by-step explanation:
You already have A and M so you just find the difference and add it to M. That is my way of getting the answer. I am taking the Honors Geometry class in 6th grade.
Can I have some help please? Thanks!
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
I NEED HELP PLEASE, THANKS. :)
Hey there! :)
Answer:
1st option.
Step-by-step explanation:
Begin by finding the vertex of the equation:
f(x) = |-x + 1|
f(x) = |-(x-1)|
The vertex of this graph is at (1, 0).
The only graph shown with an absolute value graph with
a vertex at (1, 0) is the 1st option.
Find the solutions to (x + 4)^2 = 49
Answer:
x+4=7 or -7
x=3 or x=-11
[tex](x + 4)^2=49\implies x+4=7\implies x_1=3, x_2=-11[/tex].
Hope this helps.
Please help mee!!!!!!!
Answer:
We just have to solve 3x - 1 = 0 and x + 6 = 0 so the answers are x = 1/3 and x = -6.
Please help help❤️help me it would mean a lot
Answer:
B. points C, F and G
Step-by-step explanation:
B. Points G C F
The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour. Phillip’s Driving Time and Distance Miles Hours 195 3 260 4 325 5 How many miles did he travel each hour? 39 miles per hour 52 miles per hour 65 miles per hour 81 miles per hour
Answer:
65 mph
Step-by-step explanation:
divide
ex: 195 ÷ 3 = 65mph
260 ÷ 4 = 65mph
Answer:
c
Step-by-step explanation:
Esme plans to flip a fair coin 3 times and record the results of each flip. What is the probability that the coin lands with the heads side up on all 3 flips? Enter your answer as a reduced fraction, using the / symbol, like this: 42/53
Answer:
1/6
Step-by-step explanation:
Possible outcomes
HHH
HTH
HTT
TTT
THT
THH
Nina is selling three types of energy bars at a market stall. She bought 60 Enerbars at 40p per bar and 120 Grainbars at 50p per bar from her normal supplier. She was also given 60 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.60 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £475. How many bars did she sell?
Answer:
Step-by-step explanation:
The two stages of photosynthesis: Photosynthesis takes place in two stages: light-dependent reactions and the Calvin cycle (light-independent reactions). Light-dependent reactions, which take place in the thylakoid membrane, use light energy to make ATP and NADPH.
CyberCafe charges a computer station rental fee of $5 plus $0.20 for each quarter hour spent surfing. Which expression represents the total amount Carl will pay to use a computer station for three and a half hours?
Answer: x = 0.2y + 5
Step-by-step explanation:
$0.20 * y (number of quarter hours) + an extra $5 = x (the total amount)
Subtract these polynomials
Answer:
simplify the equation into 6x^2-x+8-x^2-2, then subtract. the answer is B.
Step-by-step explanation:
Answer:
5x^2-x+6
Step-by-step explanation
6x^2 -x +8
- x^2 -2
------------------
5x^2 -x +6
Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 3. Answer pls its my h/w
Answer:
There are 6 * 6 = 36 total outcomes from throwing 2 dice. Of those, there is only 1 that will give you a sum less than 3 (1 + 1) so the answer is 1 / 36.
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
What is the value of x in the equation 8x - 2y = 48, when y = 4?
O 6
07
O 14
O 48
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the value of y into the equation :
[tex]8x - 2y = 48[/tex]
[tex]let \: y = 4[/tex]
[tex]8x - 2(4) = 48[/tex]
[tex]8x - 8 = 48[/tex]
[tex]8x = 48 + 8[/tex]
[tex]8x = 56[/tex]
[tex]x = 56 \div 8[/tex]
[tex]x = 7[/tex]
The value of x in the equation 8x - 2y = 48 is 7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
8x - 2y = 48
Now, for y=4 put the value of y as 4 in given equation we get
8x- 2(4)= 48
8x -8= 48
8x = 48+ 8
8x = 56
x= 56/8
x= 7
Thus, the value of x is 7.
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Why can’t we use the rules for exponents when the bases are not common?
Answer:
Ok, the rules of the exponent come from a logic construction.
If we have x^n
this means that n is multiplied by itself n times.
If we decompose n into a + b, we have:
x by itself a times, and then x by itself b times, and for how the product works, this is equivalent:
if n = 5, a= 2 and b = 3
x^5 = (x*x*x*x*x) 5 times-
x^5 = x^(2 + 3) = (x^2)*(x^3) = (x*x*)*(x*x*x) = x*x*x*x*x = x^5
And the same for the other rules:
(x^n)^b = x^n*b and such.
Obviusly, this only works when we have a common base.
So the correct answer is that we constructed the exponential rules in a way that only can be used when we have a common base, and this happens because to construct them, we started with common bases.
Pls Provide Explanations
Answer:
b
Step-by-step explanation:
