Answer:
The angle subtended by the arc is 171.8873385 degrees (3 radians)
Step-by-step explanation:
The formula of the length of an arc of a sector is L = [tex]\frac{x}{360}[/tex] × 2 π r, where
x is the central angle subtended by the arcr is the radius of the circle∵ An arc of a sector is three times its radius
∴ L = 3r
→ Equate the formula of the length of the arc by 3r
∵ [tex]\frac{x}{360}[/tex] × 2 π r = 3r
→ Divide both sides by r
∴ [tex]\frac{x}{360}[/tex] × 2 π = 3
→ Simplify the left side
∵ [tex]\frac{\pi }{180}[/tex] x = 3
→ Divide both sides by [tex]\frac{\pi }{180}[/tex]
∴ x = 171.8873385°
∴ The angle subtended by the arc is 171.8873385 degrees (3 radians)
What are the solution points for the system graph?
Question 12 options:
A)
(–2,8) and (–4,4)
B)
(8,–2) and (4,–4)
C)
(–2,4) and (–4,8)
D)
(–2,–4) and (4,8)
Answer:
The answer is D. (-2,-4) and (4,8). These are the two points that the two lines intercept.
Dear Garden Designer,
Shed
I've ordered this shed. It is 2 meters wide, 3.25 meters
long and 2.8 meterstal
I have moved into a house with a smal garden that needs a total redesign
Please design my garden for me. I have attached an accurate scale drawing of my
garden to this emai. I ve listed below some features I want in the garden. I will email
you later about some other things I also want.
To start, please could you draw these features accurately on the plan, showing where
you think they should go in the garden. Send me your plan with an explanation of your
thinking
Best wishes,
Decking for barbeques
I want some decking near the patio doors
It should be big enough to seat at least six people
Mandy
Circular pond
I would like a circular pond.
I'd like its area to be about 7 m.
Path and Borders
I would like some flower borders. These should not be
more than one motor wide as I find wider ones difficult
to look after.
I'd like a gravel path 1 meter wide to go from the shed
to the house and from the garden gate to the house
I will cover the rest with grass
Answer:
Step-by-step explanation:MATHEMATICAL GOALS
This lesson unit is intended to help assess how well students are able to interpret and use scale
drawings to plan a garden layout. This involves using proportional reasoning and metric units.
COMMON CORE STATE STANDARDS
This lesson relates to the following Standards for Mathematical Practices in the Common Core State
Standards for Mathematics, with a particular emphasis on Practices 1, 3, 4, 5, and 6:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
8. Look for and express regularity in repeated reasoning.
This lesson gives students the opportunity to apply their knowledge of the following Standards for
Mathematical Content in the Common Core State Standards for Mathematics:
7.G: Draw, construct, and describe geometrical figures and describe the relationships between
them.
Solve real-life and mathematical problems involving angle measure, area, surface area,
and volume.
7.EE: Solve real-life and mathematical problems using numerical and algebraic expressions and
equations.
7.RP: Analyze proportional relationships and use them to solve real-world and mathematical
problems.
INTRODUCTION
This lesson unit is structured in the following way:
• Before the lesson, students work individually on a task designed to reveal their current levels of
understanding. You review their responses and create questions to help them improve their work.
• At the start of the lesson, students reflect on their individual responses, before producing a
collaborative improved solution to the task. Then, in the same small groups students analyze
sample responses. They then discuss as a whole-class the methods they have seen and used.
• In a follow-up lesson, students reflect on their work. If time allows, an extension task is available.
MATERIALS REQUIRED
• Each student will need a copy of Design a Garden and Garden Plan, some blank paper, a miniwhiteboard, pen, and eraser, and the How Did You Work? questionnaire. The Garden Plan should
be copied at exactly 100% scale so the measurements are accurate. If this is not possible,
photocopy the rules on S-3, one rule per student, which should then match the Garden Plan
measurements. It will be useful to have spare copies of the Garden Plan.
• Each small group of students will need a new copy of the Garden Plan, the Assistants’ Methods, a
glue stick, felt-tipped pen, and a sheet of poster paper. For the optional extension Mandy’s Second
Email will be needed. Provide short rules, meter rules, string, protractors, scissors, glue, card,
plain paper, graph paper, and colored pencils for students who choose to use them.
TIME NEEDED
20 minutes before the lesson, a 110-minute lesson (or two 60-minute lessons), and 10 minutes in a
follow-up lesson. Actual timings will depend on the needs of your students.
The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of seats with respect to the number of rows.
a) S=20R+100
b) S=40R+120
c) S=20R+60
d)S=20R
Answer:
Answer: c) S=20R+60
Step-by-step explanation:
Linear Model
The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).
We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:
S = mR + b
Where m is the slope and b is the intercept.
The slope is found by:
[tex]\displaystyle m=\frac{S_2-S_1}{R_2-R_1}[/tex]
We'll use two sample points (20,460) and (45,960):
[tex]\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}[/tex]
m = 20
The value of b can be found by using one of the points, for example (20,460), and having m=20:
460 = 20*20 + b
Thus: b = 460 - 400 = 60.
The equation is:
S = 20R + 60
You can test the other points and check they belong to the same line.
Answer: c) S=20R+60
how many times can 23 go into 26
Answer: 1.13043478 times
Step-by-step explanation:
How much of earth surface by land
Answer:
GOOD AFTERNOON
UR ANSWER IS ::
Step-by-step explanation:
2
510.1 milion km
one bucket of gravel has a mass of 7.05 kilograms. what is the mass for 20 buckets of gravel in kilograms
Answer:
tell me if am wrong.
Step-by-step explanation:
1 bucket=7.05kg
20 bucket=20*7.05=141 kg
the mass of 20 bucket is 141 kilogram(kg)
There are 12 squares and 20 triangles. What is the simplest ratio of squares to triangles?
Please solve this and show explanation! ty!
Answer: x=1 or x=−1
Step-by-step explanation: Step 1: Add 6 to both sides.
x2−6+6=−5+6
x2=1
Step 2: Take the square root.
x=±√1
BRAINLESS
Answer:
Step-by-step explanation:
a.) c = 9
To get a perfect square you must divide the bx or 6x in this situation then square it.
6/2 = 3
3^2 = 9
b.) (x - 1)(x - 5)
x^2 - 6x + 9 = -5 + 9
x^2 - 6x + 9 = 4
x^2 - 6x + 9 - 4 = 4 - 4
x^2 - 6x + 5 = 0
(x - 1)(x - 5)
x - 1 = 0
x = 1
x - 5 = 0
x = 5
Helppppp i don’t know what to do
Answer:
the last one
Step-by-step explanation:
Select "Growth" or "Decay" to classify each function.
Answer:
they all all right
Step-by-step explanation:
growth
decay
growth
At Kenji's Swimwear, 30% of the 70 swimsuit styles are bikinis. How many bikini styles are there?
Answer:
21
Step-by-step explanation:
30 ÷ 100 x 70
My Answer:
21 bikini styles
Step-by-step explanation/math I took to do the problem:
30 ÷ 100 x 70
1.- En una bodega hay 34 sacos de maíz, si cada uno pesa 100 kg. ¿Cuántos
kilogramos de maíz hay en la bodega?
Question 3 of 8 Which of the symbols correctly relates the two numbers below? Check all that apply. 19 ? 20
A.=/
B. =
C. <_
D. >_
E. >
F. <
Answer:
a and d
Step-by-step explanation:
it has a ratio comparison
URGENT, PLEASE ANSWER.
-5
Solve the inequalities!
15 points if you answer and trolls will be reported.
Answer: x= -1
Step-by-step explanation:
1 Subtract 44 from both sides.
x=3-4x=3−4
2 Simplify 3-43−4 to -1−1.
x=-1x=−1
Answer: x > -9 and x [tex]\leq[/tex] -1
Step-by-step explanation:
-5 < x + 4[tex]\leq[/tex] 3 To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4 and x + 4 [tex]\leq[/tex] 3 and solve for each other.
-5 < x + 4 [tex]\leq[/tex] 3
-4 -4 -4
-9 < x [tex]\leq[/tex] -1
or
-5 < x + 4 x +4 [tex]\leq[/tex] 3
-4 -4 -4 -4
-9 < x x ≤ -1
someone please help me
Answer:
D. 8/5 x
Step-by-step explanation:
Answer:
8/5 x
Step-by-step explanation:
Find the digits in space given with the following numbers so that the number is divisible by 11.
a) 2__583
b) 37__45
Answer:
A
Step-by-step explanation:
I am not sure but I think A
Answer:
a) 22583
b) 37345
Step-by-step explanation:
Divisibility by 11
Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.
For example, the number 14982 is divisible by 11. Sum the digits
1+9+2=12
4+8=12
Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.
The number 745102 is not divisible by 11:
7+5+0=12
4+1+2=7
12-7=5. 5 is not divisible by 11.
a) 2_583. Let's call X to the unknown digit 2X583
2+5+3=10
X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus
X+8=10 => X=2. The number is 22583
b) 37X45
4+7=11
3+X+5 should be 11 or 21. Again, X must be less than 10, thus
3+X+5=11 => X=3. The number is 37345
I need help plz! plz don't just do this for the points!
See image below!
Answer:
6 1/10
Step-by-step explanation:
You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10
Please Help!
I've solved parts of the equation but I don't understand what to do next :(
Could someone please help me and give an explanation of what do do please!?
Thank you!
Step-by-step explanation:
please see it my step work solution
Solve for s.
12s=72
s = 17
s = 27
s = 3
s = 7
Answer: s = 6
Step-by-step explanation:
just simply divide both sides.
12s / 12 = 72 / 12
s = 6
Plz help. Will give brainliest
Answer:
17.1
Step-by-step explanation:
Answer 17. 1
Step-by-step explanation:
Write an equation to represent the following statement.
33 is 15 less than k.
Answer:
33 = k - 15
Step-by-step explanation:
This question can be solved but if your asking about equation 33 = k - 15 is it, because 33 is the total and 15 is less than k, whenever you see less than the number before is always the number telling the other number to subtract, such as 44 is 16 less than a number, the answer will be 44 = x - 16.
Why is it so hard for people to learn math?
Answer:
I don't know, I kind of wonder the same thing sometimes. But everyone understands things at a different rate, so that's why I'm here helping people by answering their questions and doing my best to explain how I got there.
thank you for the free points though :)
Answer:
because they are over thinking easy thing and getting stressed out.
Step-by-step explanation:
this is what happened to me
:P HELLLP what is (13x20)5+6 = ___ - 1/3.
Answer: 1304.7
Step-by-step explanation: just took test
the one of the following is NOT a measure of central tendency?____
a) mean. B) median. c) range. d) mode
Answer:
D). Mode
Step-by-step explanation:
I hope this helps!! Have a good day!
Answer:
they all are.
Step-by-step explanation:
They all are a measure of central tendency Standard deviation is not. Hope this helps :D
teddy is skiing down a hill from the top to the bottom. the distance from the top of the hill to the bottom is 565 yards. how far will he have to ski before he reaches the midpoint of the hill
Answer:
282.5 yards.
Step-by-step explanation:
565 divided by 2 is 282.5.
You are treating yourself this week-end to an afternoon at a paintball park. For three hours Paintball Excursions charges $30 to rent equipment and $15 for each box of paintballs used. On the other side of town, at Paintball USA, they do not charge for rental of equipment but charge $25 for each box of paintballs. Their sessions also last three hours. Write and solve an equation to find the number of boxes of paintballs you would have to use for both parks to charge the same amount.
HELP WILL GIVE BRAINLIEST
Gold, jewelry, antique furniture, and other belongings are known as what?
Purchasing power
Needs
Assets
Wants
I belive it is assets
4x+8 =20
- 4x + 2y = -30
Answer:
first one is x=3
Step-by-step explanation:
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
HELP! Given f(x)=6(1-x), what is the value of f(8)?
a: 42
b: 48
c: -42
d: 6
Answer:
The answer is c: -42
Step-by-step explanation:
Because f(8): 6(1-8) is 6(-7) so is -42.