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 number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answer:
I want to say B or D please tell me if I'm right lol
‼️I WILL MARK BRAINLIEST‼️
A set of data is shown in the table below. Determine the values of the slope and the y-intercept, and complete the table helow
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?
WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
50% = half and 5 out of 10 is also half, if you count how many samples it has it adds up to 7 so the answer is 7
On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.
Answer:
the z-score is within 3
Step-by-step explanation:
first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be
250+50=300+50=350+50=40
so the z-score for the value of 375 is within 3
Answer: 2
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{300-250}{25}
z=
25
300−250
Plug in values
z=\frac{50}{25}
z=
25
50
Subtract
z=2
z=2
Divide
\text{They scored 2 standard deviations above the mean.}
They scored 2 standard deviations above the mean.
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)
ahaha good one
Step-by-step explanation:
...........
I need some help what is 1000 x 3.67 and with explaining thank you so much
Answer:
3670
Step-by-step explanation:
In 1000, there are 3 zeroes
So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right
3.670 =36.70 = 367.0 = 3670.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Compare the box plots for two data sets.
Which statement is true?
-
Set A
Set A
TI
Set B
20
22
24 26 28
30
32 34
36
38 40
The range for Set B is greater than the range for
Set A
The median for Set A is greater than the median
for Set B.
The ranges for both sets are equal
The medians for both sets are equal.
Answer:
The median for Set A is greater than the median
for Set B.
Step-by-step explanation:
From the boxplot attached, we can deduce the following :
Median (vertical line in between the box on a boxplot).
Median, set A = 30
Median, set B = 29
Range = (Maximum - Minimum. Value)
Set A :
Maximum = 35 ; Minimum = 21
Range = 35 - 21 = 14
Set B :
Maximum = 37 ; Minimum = 24
Range = 37 - 34 = 3
Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.
The coordinates of the vertices of a polygon are (1, 2), (1,-1).(-6, -1), and (-6, 2).
What is the perimeter of the polygon?
A. 10 units
B. 14 units
C. 18 units
D. 20 units
The answer is D. 20 units
Answer:
20 units
Step-by-step explanation:
Please helpp
Extra points and brainleist
Answer:
D
(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer)
Answer:
12ft, 6ft, 36πft², 12πft
Step-by-step explanation:
Diameter: the distance across the circle - so 12ft
Radius: half the diameter = 0.5(12) = 6ft
Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)
Circumference: 2πr = πd = 12πft
Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft
Given:
Radius of the cylinder = 2 ft
Height of the cylinder = 5 ft
To find:
The volume of the cylinder.
Solution:
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:
[tex]V=(3.14)(2)^2(5)[/tex]
[tex]V=(3.14)(4)(5)[/tex]
[tex]V=62.8[/tex]
Therefore, the volume of the given cylinder is 62.8 ft².
Plz help.
Thank u soooooo muchhh
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
What is the measure of angle L? Round to the nearest hundreth.
Help please!!
Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp )
L=arcsin(2.7/3.1)
L =60.57129282
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
For more information, visit: brainly.com/question/23490909
Jane's dance recital started at 1:17 PM. It ended at 5:34 PM. How long did the recital last?
Answer:
the recital lasted 4 hours and 17 minutes
Answer:
4 hours 17 minutes
Step-by-step explanation:
5.34-1.17
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
Please help. SINE=?
Answer:
opposite - hypotenuse
guys answer fastyyytytttttt
Answer:
1/4
Step-by-step explanation:
there are 2 footballers
and 8 other sports
therefore, 2/8 or 1/4
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
Which function is the inverse of F(x) = b^x?
HELP FAST
Answer:I also think answer is 3
Step-by-step explanation: