*PLEASE HELP* A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
Questions :
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.
Answer:
12π
53.68 in
96.624g
Step-by-step explanation:
The total length of the circular portion :
Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2
Size of each circle is 3/4
Number of circles = 4
Number of complete circles :
4 × 3/4 = 3 complete circles
Perimeter of circle:
Number of circles * (2πr)
3 * 2 * π * 2 = 12π
Total wore needed :
Circular + Square
Perimeter of square = 4s
s=side length = 4
Total square 4 * 4 = 16
Perimeter of Square + perimeter of circle
16 + 12π = 16 + (12 * 3.14) = 53.68 in
Total weight of ornament :
1.8 g * perimeter
1.8 * 53.68 = 96.624g
What is the volume of this figure?
Answer:
1920
Step-by-step explanation:
I'm just doing it my way because it feels easier, but multiply 14 x 20 x 8 to get the volume of the entire figure.
Then we subtract that box of air which is 10 x 4 x 8.
So 14 x 20 = 280
280 x 8 = 2240
Then we find the volume of the missing part which is
10 x 4 = 40
40 x 8 = 320.
We get 2240 - 320 = 1920
Remember kids, wear your masks!
One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.
Answer: Experiment with 100 players sprinting
Step-by-step explanation:
When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.
A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.
Let f(x) = 2x + 1 and g(x) = 3x + 2. Which of the
following describes all values of x for which the
graph of y = f(x) lies below the graph of y = g(x)?
Find the value of x
Answer:
The value of [tex]x[/tex] is 2.
Step-by-step explanation:
Given that [tex]\overline{HI}[/tex] and [tex]\overline{HJ}[/tex] are secant to arcs [tex]HI[/tex] and [tex]HJ[/tex], which have the same central angles. Therefore, [tex]HI = HJ[/tex] due to symmetry:
[tex]HI = HJ[/tex] (1)
[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]
[tex]3\cdot x = 6[/tex]
[tex]x = 2[/tex]
Hence, the value of [tex]x[/tex] is 2.
i don’t understand can someone help me with an explanation and answer
Answer:
c
Step-by-step explanation:
if you have 5 teams, then it has to be 5 games.
Answer:
The answer would be 4 times, since there are 4 other teams for each team to play.
Example:
Say I'm Team Red, and the other teams are Yellow, Green, Blue, and Purple. I would need to go against each of the other teams once and since there is 4 of them, I would have 4 games to play.
Based on the data in the table, what is the probability that the next piece of candy Katherine pulls out of the jar will be blue?
O
A
7/100
B.
7/50
C.
7/43
D.
1/5
The probability of blue candy from the jar of total candy 50 is 7/50. Thus, option B is correct.
Probability is defined as the chance of occurrence of events. From, the given data the total number candies in the jar is 50.
Thus, the total number of events (sample space, S) = 50
number of possible outcomes from the event n(S) = 50
number of blue candies in the jar(favourable outcomes) = 7
Probability of taking the blue candies from the jar,
P(A) = no. of. favourable outcomes / number of possible outcomes
= 7 / 50
The probability of taking blue candy from the jar = 7/50
Thus, the ideal solution is option B.
To know more about Probability :
https://brainly.com/question/11034287
#SPJ1
A school library had 66,500 books. 8,947 books were issued to the students
And 4033 books for the teachers. How many books are still in the library?
Answer:
53520
Step-by-step explanation:
Books left =total books -books included student
books left =66500-8947-4033
i.e.53580
If the radius Is 12 in what is the area?
Answer:
12^2*pi=144pi=452(3.s.f)
Please help. Find sinA
Answer: 32/40
Step-by-step explanation:
Sin is Opp/Hyp
Sin A is 32/40
Help quick please, look at the photo I attached
Answer:
A ≈ 5.6
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P
= 0.5 × 5.2 × 2.8 × sin50°
≈ 5.6 ( to 1 dec. place )
Which function grows at the fastest rate for increasing values of x?
f(x)=2⋅3x
g(x)=10x+15
h(x)=5x2+x+10
Answer:
f (x) = 2.3x grows the value of x at faster rate
giving brainlest to whoever answers this (CORRECTLY)!!!!
Answer:
14.4
Step-by-step explanation:
Answer:
14.4 m2
Step-by-step explanation:
area = L x W
here we have these two values so area = 3 x 4.8
this gives us 14.4 m2
Gabrielle cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 33 inches. How long is each side of the original square cake?
Answer:
11 inches
Step-by-step explanation:
Perimeter of each rectangle = 33 inches
The square cake is cut in half
which means two half sides would equal one whole side.
2 × 1/2 = 1
The two "halves" in the smaller rectangle would equal one whole side + the two whole sides in the smaller rectangle
1 + 2 = 3
Each side of the original square cake = 33 inches / 3
= 11 inches
Each side of the original square cake = 11 inches
Which statement about is true
Answer:
[tex] \tan( \alpha ) = \frac{8}{15} [/tex]
How do you write 4.789x10^7 in standard form?
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
3 1/2
Step-by-step explanation:
Answer:
Exact Form: 7/2
Decimal Form: 3.5
Mixed Number Form: 3 1/2
Step-by-step explanation:
Median of 93 87, 81, 80, 78, 95, 83, 81, 76, 74, 88, 86, 85, 76, 60,
Answer:
The answer is median :81
Step-by-step explanation:
show me dialogue story
Answer:
huh?
Step-by-step explanation:
Out of 50 people surveyed:
30 have a brother
25 have a sister
6 have neither a brother or sister
Complete the Venn diagram.
Steps please. Thank you.
Can someone please help me (Math)
Answer:
x = 11
Step-by-step explanation:
Since this is a triangle, all interior angles add up to 180 so:
57 + 73 + 3x + 17 = 180
3x + 147 = 180
3x = 180 - 147
3x = 33
x = 11
Please find x and y!!!!!! URGENT! Bots taken down
Answer:
x = 11, y = 22
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{11\sqrt{3} }{x}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by x )
11[tex]\sqrt{3}[/tex] = x × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
11 = x
Using Pythagoras' identity in the right triangle
y² = x² + (11[tex]\sqrt{3}[/tex] )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )
y = [tex]\sqrt{484}[/tex] = 22
NAME TWO THINGS TO CONSIDER WHEN YOU ARE PLANNING HOW TO SELECT A RANDOM SAMPLE.
Answer:
SELECT WHAT??
Step-by-step explanation:
2 : 9, 12 : , and : 45.
Answer:
Sorry. What's the question?
Answer:
12:6, 9:45
Step-by-step explanation:
Ratios I think you are asking
How do I solve this problem?
Answer:
[tex]10100[/tex]
Step-by-step explanation:
Use this formula,
[tex] \frac{n}{2} (2 {a} + d(n - 1)[/tex]
where n is the amount of even intergers, a is the starting term, d is the common difference.
the amount of even intergers from 2 to 200 is 100The starting number is 2The common difference is 2[tex] \frac{100}{2} (4 + 2(99)[/tex]
[tex]50(4 + 198)[/tex]
[tex]50(202)[/tex]
[tex]10100[/tex]
-5/6x-7/30x+1/5x-52 please help me guys cuz imk not good with math
Answer:
[tex]\frac{-13}{15} x-52[/tex]
Step-by-step explanation:
[tex]\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52[/tex]
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
Combine Like Terms:
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
[tex]=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)[/tex]
[tex]=\frac{-13}{15}x+-52[/tex]
Therefore, [tex]\frac{-13}{15}x+-52[/tex] will be your final answer.
If a sample mean is 96, which of the following is most likely the range of possible values that best describes an estimate for the population mean?
Answer:
80,112
Step-by-step explanation:
Answer: (80, 112)
Step-by-step explanation: a p e x
Identify the following as a radius or diameter and its length. segment DA
Step-by-step explanation:
Radius=EA,AB,DA,CA
diameter=EB
length of diameter =2×4=8cm
stay safe healthy and happy.A test consists of 5 true-false questions. Use the fundamental counting principle to find the number of possible outcomes.
Answer:
32 possible outcomes
Step-by-step explanation:
There are two options for each question (true or false).
Hence, according to the counting principle :
Question 1 = true or false = 2
Question 2 = true or false = 2
Question 3 = true or false = 2
Question 4 = true or false = 2
Question 5 = true or false = 2
2 * 2 * 2 * 2 * 2 = 2^5 = 32
Kyle divided his stamps
evenly on 3 pages with
6 stamps on each page.
How many stamps are
in Kyle's stamp
collection?
Answer:
18
Step-by-step explanation:
Each page has 6 stamps. There are 3 pages. This is a simple multiplication problem, and so you do 3x6 to find the total number of stamps Kyle has. Thus, 3 times 6 is 18.
visual:
Page One: 6 stamps
Page Two: 6 stamps
Page Three: 6 stamps
6 + 6 + 6 = 18 (or just do 6x3)