Answer:
35.18576
Step-by-step explanation:
use eqation E
Answer:
If the angle is in radians...
Area of sector =½r²¢
Where ¢ is theta.
Since Our angle is degree
We use
Area of Sector = ¢/360 x πr²
¢=theta
radius = Diameter/2
radius = 16/2 = 8m
Area = 126/360 x π x 8²
= 112π/5
=70.37
A dog's leash is 4 m long and is attached to the corner of a 2 m × 2 m square doghouse at C, as shown. The dog is attached to the other end of the leash, at D. What is the area outside of the doghouse in which the dog can play? (A) 14π m^2 (B) 16π m^2 (C) 20π m^2 (D) 15π m^2 (E) 24π m^2
The area outside of the doghouse in which the dog can play is 16π m².
Thus, option (B) is correct.
Given:
The leash is 4 m long.
The doghouse is a 2 m × 2 m square.
First, the area of a square is given by side length squared
So, the area of the doghouse is:
Area of the doghouse = side length² = 2²
= 4 m².
Next, the area of the circle with a radius of 4 m.
The area of a circle is given by the formula A = πr²,
So, Area of the circle = π(4²) = 16π m².
Therefore, the area is 16π m².
Thus, option (B) is correct.
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There are 10 players on the swim team. How many ways can the coach
select 3 people to swim in the relay?
The coach can select 3 people to swim in the relay in 120 ways.
What is combination?'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'
According to the given problem,
Number of players = 10
Number of people to be selected = 3
We know,
[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players
r = Number of players to be selected
Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]
= [tex]\frac{10!}{3!*7!}[/tex]
= 120 ways
Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.
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Find the missing angle measurements of HFG ? , fill in the boxes
Answer:
Angle HFG = 24 degrees
Step-by-step explanation:
From the diagram, we have the following;
Angle EFH and angle HFG are complementary (they add up to be 90 degrees)
angle EFH + angle HFG = 90
Angle HFG = 90-66
Angle HFG = 24 degrees
In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?
Answer:
Proportion of chocolate in biscuit tin = 5:7
Step-by-step explanation:
Given:
Number of chocolate in biscuit tin = 10
Number of shortbread biscuits in biscuit tin = 4
Find:
Proportion of chocolate in biscuit tin
Computation:
Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin
Proportion of chocolate in biscuit tin = 10 / [10 + 4]
Proportion of chocolate in biscuit tin = 10 / 14
Proportion of chocolate in biscuit tin = 5:7
What is the area of this cube 6 4 5
What is the value of y in the equation y = 3x - 2, when x = 2
Answer:
y=4
Step-by-step explanation:
3 x 2=6
6 - 2= 4
Answer:
y = 4
Step-by-step explanation:
Equation: y = 3x - 2
Plug in x = 2
New equation: y = 3(2) - 2
Simplify: y = 6 - 2 --> y = 4
Answer: y = 4
Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has
Answer:
Robert can feed 13 cats.
Step-by-step explanation:
To solve this we simply divide.
3.38 divided by 0.26 = 13
Therefore Robert can feed 13 cats.
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
Evaluate the expression when a = 4 and c= -6
-a + 3c
Answer:
-22
Step-by-step explanation:
if a = 4, then it will be
-4 + 3(-6)
-4 - 18
which will be equal -22
4 + 3 × -6 = -22
Your welcome! :)
True or False
The radius of the circle is congruent to the radius of an inscribed regular polygon inside the circle.
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The given statement is True.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The given statement is true and can be observed in the given image below.
Hence, the given statement is True.
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Ryan took a hike on sunday. he hiked uphill for 15 minutes. then he hiked another River for 12 minutes. he hiked downhill for 8 minutes along a river for 5 minutes. how many seconds did Ryan hike on Sunday? plz help
Answer:
2400 seconds
Step-by-step explanation:
Answer:
40 min = 2400 sec
Step-by-step explanation:
If f(1)=7 and f(n)=3f(n-1)+3 then find the value of (3)
Given:
[tex]f(1)=7[/tex]
[tex]f(n)=3f(n-1)+3[/tex]
To find:
The value of f(3).
Solution:
We have,
[tex]f(n)=3f(n-1)+3[/tex] ...(i)
Substituting [tex]n=2[/tex] in (i), we get
[tex]f(2)=3f(2-1)+3[/tex]
[tex]f(2)=3f(1)+3[/tex]
Substituting [tex]f(1)=7[/tex] in the above equation, we get
[tex]f(2)=3(7)+3[/tex]
[tex]f(2)=21+3[/tex]
[tex]f(2)=24[/tex]
Now, substituting [tex]n=3[/tex] in (i), we get
[tex]f(3)=3f(3-1)+3[/tex]
[tex]f(3)=3f(2)+3[/tex]
Substituting [tex]f(2)=24[/tex] in the above equation, we get
[tex]f(3)=3(24)+3[/tex]
[tex]f(3)=72+3[/tex]
[tex]f(3)=75[/tex]
Therefore, the value of f(3) is 75.
Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood
he has left, Tomas makes 18 corner braces of equal size. How many inches of wood does each brace use?
Answer:
Each brace uses 2.[tex]\overline 6[/tex] inches of wood
Step-by-step explanation:
The given parameters are;
The length of the board from which he cuts the wood = 8 feet
The length of the wood he cuts from the board = 4 feet
The number of corners on the braces of equal sizes he makes with the wood he has left = 18 corner brace
We have;
The length of the wood he has left = (The length of the board) - (The length of the wood he cuts from the board)
∴ The length of the wood he has left = 8 feet - 4 feet = 4 feet
The length of each brace the man can cuts from the wood he has left = (The length of the wood he has left)/(The number of corner braces he cuts)
∴ The length of each brace = (4 feet)/(18 braces) = (48/18) inches/(braces) = (8/3) inches/brace = 2.[tex]\overline 6[/tex] inches of wood per brace
Find the value of x that will make line u parallel to line v. Show all of your work
Answer:
x = - 11
Step-by-step explanation:
u and v are parallel if you have equal alternate interior angles .
that is ,
x + 111 = 100
x = 100 - 111
x = - 11
-3 (7x + 7) = -38 - 4x
Answer:
x = 1
Step-by-step explanation:
-3 (7x + 7) = -38 - 4x
-3(7x)-3(7) = -38 - 4x
-21x - 21 = -38 - 4x
-21x+4x = -38+21
-17x = -17
x = -17/-17
x = 1
Answer:
x = 1.
Step-by-step explanation:
-3(7x + 7) = -38 - 4x
Use distributive property to get:
-21x - 21 = -38 - 4x
Add 4x to both sides to get:
- 17x - 21 = -38
Add 21 to both sides to get:
- 17x = -17
x = 1.
I hope this helps, have a nice day.
Find a polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity3 , and 2 as a zero of multiplicity 1.
The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)
To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.
Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.
A polynomial function with these zeros and multiplicities can be written as:
f(x) = (x + 2)³ × x³ × (x - 2)
To make it a polynomial of degree 7, we can multiply it by an additional linear factor:
f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)
Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.
Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.
Therefore, we don't need to include the "x - r" factor, and the final polynomial is:
f(x) = (x + 2)³ × x³ × (x - 2)
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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.
To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.
Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).
Multiplying these factors together, we obtain:
(x + 2)^3 * x^3 * (x - 2)
Expanding this expression, we get:
(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)
To simplify further, we multiply the terms:
(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)
Expanding again, we obtain:
x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2
Combining like terms, we get:
x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2
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Amy deposits $8000 into an account that pays simple interest at a rate of 2% per year how much interest will she be paid in the first 4 years?
What is the maximum value of this function?
Ranking correct answer brainliest :)
Answer:
b) tan 26° = 18/x
Step-by-step explanation:
tan is opposite/adjacent
Answer:
Answer B
Step-by-step explanation:
You have the angle, the opposite and are looking for the adjacent
The only solutions is using tan
tan = opposite / adjacent
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
need help? will get brainlylist
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer
Use this picture to solve for X
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
[tex]12 {p}^{5} r \div ( - 10pq)[/tex]
ASAP!!!! PLS HELP
Answer:
Step-by-step explanation:
[tex]\frac{12p^{5}r}{-10pq} = \frac{-6p^{5-1}r}{5q}\\\\=\frac{-6p^{4}r}{5q}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
How many tiles would be in figure 100? Help :/
Answer: pretty sure it is 201 tiles
please mark me brainlies. That would be helpful
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.
A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.
The general form with vertex (p,q) is
y = a(x-p)² + q
So for us, all our parabolas are of the form
y = a(x- -3)² + 9
y = a(x² + 6x + 9) + 9
y = ax² + 6ax + 9(a+1)
That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.
Some instances:
a=1 gives
Answer: y = x²+6x+18
a=4 gives
y = 4x² + 24x + 45
Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.
Find the Ares of a semi circle whose radius is 2.4 cm
Answer:
Step-by-step explanation:
area of semi circle=πr^2/2
=3.14*(2.4)^2/2
=3.14*5.76/2
=18.0864/2
=9.0432 cm^2
Answer:
72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²
Step-by-step explanation:
Area of whole circle is [tex]\pi r^{2}[/tex]
[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²
Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):
144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²
Discover the rate of change (slope) of these two points. (-4,5) and (5,-4).
Answer:
-1
Step-by-step explanation:
y2-y1/x2-x1
-4-5/5- -4
-9/9
-1
Question and choices are in the photo please explain the answer
Answer:
336
Step-by-step explanation:
The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.
Therefore:
5! = 5 x 4 x 3 x 2 x 1 = 120.
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
8!/5! = 40320/120
40320/120 = 336
Hey, can someone help me with this fast thanks!!
Answer:
Your answer is 82
Step-by-step explanation:
15+25+13+13+8+8=82
Answer: c
Step-by-step explanation:
GELPPPPPP
(1) Distributive property
(2) Associative property
(3) Addition property of equality
(4) Division property of equality