Answers
Related Questions
You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?
Answers
Answer:
(a) 19.63 ft
(b) 147.26 ft^2
Step-by-step explanation:
(a) 75/360 degrees . 2 . pi . 15 = 19.63
(b) 75/360 degrees. pi . 15^2 = 147.26
Answer:
a) 19.63 ft (2 dp)
b) 147.26 ft² (2 dp)
Step-by-step explanation:
To find the length of the curved fence, use the formula for arc length of a circle.
To find the area of the vegetable garden, use the formula for area of a sector of a circle.
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 75°r = 15 ft[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]
What are the coordinates of the image
of (-3, -7) after the translation
(x, y) - > (x-9, y + 9)?
F (-6, 16)
H (12, -2)
G (6, -16)
J (-12, 2)
Answers
here my Answer:)))))))
H (12, -2)
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the minimum.
ANSWER ASAP PLEASE
Answers
Answer:
The minimum is 87
Step-by-step explanation:
The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed
Answer:
87
Step-by-step explanation:
Put them in order
87, 89, 94, 98, 99, 103, 109, 112, 115
Minimum = The least
The least = 87
sin³ 0 +cos³0 / sin 0+ cos 0 = 1-sin 0 cos 0
Answers
Answer:
Step-by-step explanation:
SHOW THAT:
sin³ 0 +cos³0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Now, using the identity a^3 + b^3 = (a + b)(a^2 + b^2 - ab):
sin³ 0 +cos³0 = (sin 0 + cos 0)(sin² 0 +cos²0 - sin0 cos 0)
As sin² 0 +cos²0 = 1 we have:
sin³ 0 +cos³0 = ( sin 0 + cos 0)(1 - sin0 cos 0)
So we can write the left side of the original expression as
( sin 0 + cos 0)(1 - sin0 cos 0) / (sin 0+ cos 0)
= 1 - sin0 cos 0 = Right side
= and we are done!.
8. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answers
Answer:
Step-by-step explanation:
[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]
≈ $71005
If johnny had 609898 cupcakes and gave 2323 away how much would he have left
Answers
Answer:
607,575 cupcakes
Step-by-step explanation:
Highschool math? haha
609898 - 2323 =
607,575
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
Show work and explain it please.
Answers
[tex]s = 4\pi {r }^{2} [/tex]
13.6/2=6.8
4×3.14×(6.8×6.8)=580.7
O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6
Answers
K/2 =9
what is the step by step?
Answers
Answer: k=18
Step-by-step explanation:
1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9
2) Cancel multiplies terms that are in the denominator: k=2•9
3) Multiply the numbers: k=18
4) Get the solution
( i will give brainlist ) please help is the following equation linear, quadratic, exponential or none of these?
Answers
Answer:
exponential
Step-by-step explanation:
It is exponential because the variable is in the exponent
the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?
Answers
Answer:
acute triangle
Step-by-step explanation:
because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle
Answer:
take the two smaller sides, call them a and b. call the longest side c.
if a^2 + b2 = c^2 you have a right triangle
if < c^2 it's acute
if > c^2 it's obtuse
in addition, if you can find a,b,c such that
a=b=c it's equilateral
a=b≠c it's isosceles
a≠b≠c it's scalene
plug in your numbers and make your choice.
Step-by-step explanation:
20 ÷ (5x2/5) + 3 help please
Answers
Answer:
13
Step-by-step explanation:
hey take a deep breath! you got this!
it's really simple if you use the format PEMDAS
P- parentheses
E-exponents
M-Muliplication
D-divison
A-addition
S-subtraction
or mostly used
P
E
M or D
A or S
(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)
ok so our equation is 20÷(5x2/5)+3
whats our first step? remember PEMDAS!
Its Parenthesis! so first we do the equation (5x2/5)
since multiplication and division are in the same "category" we go left to right
so first we do 5x2=10 and then we do 10/5 which is equal to 2!
ok now we add back the rest of our equation!
20÷2+3 since we already solved the Parenthesis
now what come first? division or addition?
its division because.. once again... PEMDAS!!
So now we do 20÷2 which is equal to 10!
now whats left is to add 3!
and 10+3 is equal to .... 13!!!
I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)
An object is fired from a cannon. Its height after t seconds is given by the function
h(t)= 16t² + 128t + 140 feet. How high was the object after 2 seconds?
=
The object was
feet high.
Answers
Answer:
332 feet
Step-by-step explanation:
Height = h(2) = - 16(2^2) + 128t + 140 ( NOTE: I added the minus sign)
= 332 feet
The maximum height is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
What is more about the problem?For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.
Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.
t = -b/2a
t = -(128) / 2(16)
t = -128 / 32
t = 4 seconds
let's plug in t=4 to our equation:
h = 16t^2 + 128t + 140
h = 16*(4)^2 + 128*(4)+ 140
h = 908ft
h = 908 feet
answer is that the maximum height is 908 feet.
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ethan sorts shapes into two groups as shown what mistakes does ethan make use the drop down menus to explain the mistakes ethan makes
Answers
Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
How to spot mistakes?The image showing the two groups is as shown in the brainly link attached at the end.
From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square corners.All the shapes in group 2 have exactly 1 square corner.Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
Read more about spotting mistakes at; https://brainly.com/question/27653787
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What is Surface area for 5ft, 16ft, and 8ft
Answers
The surface area of the given rectangular prism is:
S = 496 square feet.
How to find the surface area?
For a rectangular prism of length L, width W, and height H is:
S = 2*(L*W + W*H + L*H).
In this particular case, we have:
L = 5ftW = 16ftH = 8ft.If we replace that in the surface area equation, we will get:
[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]
The surface area of the rectangular prism is 496 square feet.
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A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function V(n) = 0.5n. Additionally, the relationship between the amount of silver and the material mined is given by the function G(V) = 0.00001V.
Which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?
A)G(V(n))
B)V(G(n))
C)n(G(V))
D)n(V(G))
Answers
Answer:
G(V(n))
Step-by-step explanation:
As V(n)=0.5nWhere V is carts and n is material
So vRnAnd
G(v)=0.00001VWhere G is silver found and v is material
GRvOn combininf
GRv =>(G,v)€RVRn=>(v,n)€RSo as per transitive property
GRn=>( G,n)€RR is relation
G is related to n
So G will stay outside and the relationship become GoV(n)
Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?
Heads up: ___________Tails up: _____________
Part B: What is the probability of the coin landing heads up on his next try?
Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?
Answers
Heads is 6/10 and tails is 4/10
if answer needs to be simplified then heads is 3/5 and tails is 2/5
Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6
Tails: Fraction= 4/10 simplified=2/5
Percentage=40% Decimal=0.4
brainliest if answer is good
QUESTION ON THE IMAGE
Answers
Answer:
660 cubic cm
Step-by-step explanation:
Volume= bhl/2
At the beach, nardia collected triple the number of seashells that pierre did. together, they collected 52 seashells. which equations represents p, the number of seashells that pierre collected. 3 p p = 52 3 p = 52 52 p = 3 p 52 p = 3
Answers
The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52
Writing a system of equationFrom the question, we are to determine the equation which represents p
From the given information,
Nardia collected triple the number of seashells that Pierre did
If Pierre collected p number of seashells
Then,
Nardia collected 3p number of seashells
Also, from the given information,
They collected 52 seashells in total
That is,
3p + p = 52
Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.
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4. Write 2 trinomials that when you add them together you will get 5x2 + 9x + 3.
Trinomial A
Trinomial B
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,
Trinomial A = 3x²+5x+2
Trinomial B = 2x² + 4x + 1
Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
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A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?
Answers
The value of the given cone with a volume of 144 has a width is 6 inches.
We have given that,
A box of cereal has a volume of 144 inches squared.
The height of the cereal box is 12 inches, and the depth is 2 inches.
The volume of cone = 144 inches squared.
height=12 inches
depth=2inches
What is the formula of the cube?Area of a cube = V = L * W * H
L-length
W-width
H-height
We have to determine the width cereal box.
Plug the given values in the formula
V = L * W * H
144=2×12×width
Width=144/24
Width=6inches
Therefore the value of the width is 6 inches.
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Select the correct answer.
Which graph shows a function and its inverse?
Answers
Answer:
See below
Step-by-step explanation:
If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.
None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.
Answer:b
Step-by-step explanation:
[SOLVED] The following data values are amperage outputs from electrical testing.
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data? ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
Answers
The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
The median = (63+65)/2 = 64
Q1 = (61+62)/2 = 61.5
Q2 = (70+72)/2= 71
Q3 - Q1 = 71 - 61.5 = 9.5
Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
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Answer:
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
Step-by-step explanation:
edge 2023
I am in dire need. helpp
Answers
Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answers
Answer: Luke spent 45.5 hours working
Step-by-step explanation:
let x = hours worked
[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]
We can conclude Luke spent 45.5 hours working
(h multiply by 13) + 50 = 641.5
In order to find it, we have to switch some places
(641.5 -50) divided by 13 = h
591.5 / 13 = h
45.5 = H
So he works 45.5 hours, or 45 hour and 30 minutes
please help ASAP
tthankyou
answer is below in attachment
Answers
Answer:
10, 13, 15.Step-by-step explanation:
Solve all possible equations:
8 + 10 + 1 + 9 + 2Adding them all up we get:8 + 10= 18 + 1= 19 + 9= 28 + 2= 3030 < 40.10 will be used for the next equation:
2nd equation:
10 + 12 + 1 + 13 + 2Solve:10 + 12= 22 + 1= 23 + 13= 36 + 2= 3838 < 40.13 will be used for the final equation:
Final equation:
10 + 13 + 1 + 15 + 2= 10 + 13= 23 + 1= 24 + 15= 39 + 2= 41.41 > 40.The 3 digits are 10, 13, 15.Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?
Answers
Answer:
3/4 is your fraction because 3 out of the four sections gives you the bear
Step-by-step explanation:
Anyone please help me this I can't solve so I need help.༎ຶ‿༎ຶ waaaaaahhhhhh
Answers
This is your answer. I keep hope it will help you
which grade are you studying
Fractional Area
What fraction of the square's total area
is shaded?
Answers
Answer:
7/32
Step-by-step explanation:
the quation is 8=z/6 please help me solve this algebraic equation......
Answers
Answer:
to find z
Step-by-step explanation:
8=z/6
z=6 x 8
z= 48