when measuring the radius of a sphere an error of 0.6% takes place in the measurement. What will be the permiable error while measuirng the surface
Answer:
So, the error is [tex]4.8\pi r[/tex].
Step-by-step explanation:
Error in measuring the radius = 0.6 %
Let the radius is r.
The surface area of sphere is
[tex]S= 4\pi r^2\\\\dS = 4 \pi\times 2 r dr\\\\dS =8\pi r \times 0.6 = 4.8\pi r[/tex]
Currently offering 100 points.
The dot plots below show the ages of students belonging to two groups of music classes:
Based on visual inspection, which group most likely has a lower mean age of music students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.
Answer:
a ?
Step-by-step explanation:
Answer:
I'm pretty sure it's A? makes more sense
In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth
Given:
In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.
To find:
The value of sine of ∠J.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
In triangle JKL,
[tex]\sin J =\dfrac{LK}{KJ}[/tex]
[tex]\sin J =\dfrac{39}{89}[/tex]
[tex]\sin J =0.4382[/tex]
[tex]\sin J \approx 0.44[/tex]
Therefore, the value of sine of ∠J is about 0.44.
if the diameter of a circular wall clock is 30 cm, what is the area of rhe clock?
Answer:
Step-by-step explanation:
radius=diameter/2
=30/2
=15 cm
area of a clock=πr^2
=3.14*(15)^2
=3.14*225
=706.5 cm^2
Applications and Reasoning:
4. Find the sum of: 300 + 301 + 302 + 303 + 304 + ... + 1239.
hope it helps you see the attachment for further information
Ethan is decorating the outside of a box in the shape of a square pyramid. The figure below shows a net for the box.
Answer:
45.312 cubic cm
Step-by-step explanation:
Since we are not asked what to look for, we can find the volume
volume of the pyramid = 1/3 * Base area * Height
Base area = 4.8 * 4.8 = 23.04 sq. cm
HEight of prism = 5.9cm
Volume of the prism = 1/3 * 23.04 * 5.9
Volume of the prism = 135.936/3
Volume of prism = 45.312 cubic cm
the Satya Vansh become an important dynasty in the world of
Answer: it’s 352425262625251452 is 4th of July and I am present
Step-by-step explanation:
HELP ASAP NEED THE ANSWER LIKE RIGHT NOW 100 POINTS AND WILL GIVE BRAINLIEST
A school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers?
20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 8a + c = 100
10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 8a − c = 100
10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 8a + c = 100
20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 8a − c = 100
Answer:
a + c = 30
8a + c = 100
a=10, c= 20
Step-by-step explanation:
cost = 8a + 1c since it is 8 dollars for adult and 1 for child where a is the number of adults and c is the number of children
a+c = 30 since we know that 30 adults and children went
100 = 8a + 1c and it cost 100 dollars
Let c =30 -a
100 = 8a + (30-a)
100 = 7a +30
Subtract 30 from each side
70 = 7a
Divide by 7
10 =a
Then a+c = 30
10+c = 30
c = 30-10
c = 20
Answer:
eqn1 : a +c=30
eqn2: 8a+c=100
20 children and 10 adults
what is the difference (2x minus 3) minus (x minus 1)
Answer:
x-2
Step-by-step explanation:
Answer:
x-2
Step-by-step explanation:
(2x-3) - (x-1)
= 2x-3-x+1
= x-2
What is the image point of (-2,-2) after a translation right 3 units and up 1 unit?
Answer:
(1,-1)
Step-by-step explanation:
For the women age 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
Answer:
For a height of 66 inches, Z = 0.65.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average height was about 64.3 inches; the SD was about 2.6 inches.
This means that [tex]\mu = 64.3, \sigma = 2.6[/tex]
66 inches:
The z-score for a height of 66 inches is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66 - 64.3}{2.6}[/tex]
[tex]Z = 0.65[/tex]
For a height of 66 inches, Z = 0.65.
if f (x) = ax+b , f(5) = 26 and f (2)=14 find value of a and b
Answer:
Hope it helps you:)
.....................
R=8 P=7 R+P= PLZ im stuck
Answer:
15
Step-by-step explanation:
The equation is just a plug in and solve. you have your given variables and all you have to do it plug them into the matching spot and solve
R=8 P=7
8+7=15
63,21,7 write an explicit formula
Answer:
7×3³-n
Step-by-step explanation:
This is a geometric sequence
Use nth term of geometric sequence formula

Ratio is 27/63=1/3
First term is 63

Simplify expression

find the square (3x+y)
Answer:
9x² + 6xy + y²
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 3x
b = y
(3x +y)² = (3x)² + 2*3x*y + y²
= 9x² + 6xy + y²
(3x)² = 3²*x² = 3*3*x² = 9x²
I'll mark BRAINLIEST!
A hot air balloon started at a height of 2 units. Then it removes 1 sandbag(s). What is its final height?
Answer:
it becomes a 3 unit hight
Higher Order Thinking A student says that he was rearranging furniture at home and he used
a glide reflection to move a table with legs from one side of the room to the other. Will a glide
reflection result in a functioning table? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
A table is a 3-D object. It makes no sense to talk about reflecting it across a point or line. If the table is reflected across a vertical plane, the top will remain "up" and the legs will remain "down".
A glide reflection across a vertical plane will result in a functioning table.
Is I’m doing this right guys
Answer:
Yes you are.
Step-by-step explanation:
Just keep plugging in the values for x. Good job.
yes you r doing it right
3/4 *0=0
a number is between 20 and 30 and is three times the sum of its digits. what is the number?
Answer:
The only multiples of 3 between 20 and 30 are 21, 24, and 27. Only 27 satisfies the condition that it is 3 times the sum of its digits.
Step-by-step explanation:
The number between 20 and 30 that is equal to three times the sum of its digits is 27
How to determine the number?The numbers between 20 and 30 are:
21, 22, 23, 24, 25, 26, 27, 28, 29
Add each digit of the numbers and multiply by 3.
So, we have
21 ⇒ 3 * (2 + 1) = 9
22 ⇒ 3 * (2 + 2) = 12
23 ⇒ 3 * (2 + 3) = 15
24 ⇒ 3 * (2 + 4) = 18
25 ⇒ 3 * (2 + 5) = 21
26 ⇒ 3 * (2 + 6) = 24
27 ⇒ 3 * (2 + 7) = 27
28 ⇒ 3 * (2 + 8) = 30
29 ⇒ 3 * (2 + 9) = 33
In the above computation, the true correct term of the sequence is
27 ⇒ 3 * (2 + 7) = 27
Hence, the number is 27
Read more about sequence at:
https://brainly.com/question/6561461
#SPJ6
i will mark the brainliest 100 points
Answer:
4 squared is 16 so 16 times 3.14= 50.24
Step-by-step explanation:
Answer:
4^2 = 16
16 x 3.14 = 50.24 in2
Step-by-step explanation:
Formula of area of a circle:
π x r^2(radius being squared)
To make it more easier:
3.14 or 22/7 x radius^2
Some keywords:
Radius: Half of your diameter or given radius
Radius Squared: Your radius squared, your radius to the power of 2.
Pi: 3.14 or 22/7 depending on what they tell you to use for pi
Lots of people use breakfast cereal as a daily source of fiber, and these cereals also contain the mineral potassium. Suppose a linear model was made to predict a cereal's potassium content using its fiber content, and suppose the model had intercept 37 and slope 25. For a cereal having 255 milligrams of potassium and 9 grams of fiber, what is the residual (in mg)?
Answer:
The residual is of 7 mg.
Step-by-step explanation:
Linear model:
A linear model has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the intercept.
Suppose the model had intercept 37 and slope 25.
This means that [tex]b = 37, m = 25[/tex]
So
[tex]y = 25x + 37[/tex]
9 grams of fiber
This means that [tex]x = 9[/tex]. So
[tex]y = 25(9) + 37 = 262[/tex]
255 milligrams of potassium. What is the residual (in mg)?
Expected subtracted by actual. So
262 - 255 = 7
The residual is of 7 mg.
Which represents the value of s in s + 12 2 100?
Answer:
C)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
s + 12>= 100
s>=100-12
s>=88
In square inches, what is the area of the composite shape?
**DO NOT INCLUDE LABELS IN YOUR ANSWER!
8 in.
X
8 in.
Answer:
40[tex]\pi[/tex]
or 125.66 rounded
Step-by-step explanation:
area of triangle:
1/2(b*h)
1/2(8*8)
1/2(64)
=32
area of half circle:
[tex]\pi r^{2}[/tex]/2
[tex]\pi r^{2}[/tex]/2
[tex]\pi 4^{2}[/tex]/2
[tex]\pi16[/tex]/2
[tex]\pi8[/tex] or 8[tex]\pi[/tex]
So, 8[tex]\pi[/tex] + 32=40[tex]\pi[/tex]
The shorter leg of a right triangle is 6ft shorter than the longer leg. The hypotenuse is 6ft longer than the longer leg. Find the side lengths of the triangle.
Answer:
mmm I think you first subtraction
(easy math question please help) find the value of x question #5
Answer:
x = 10
Step-by-step explanation:
Angles in a triangle add up to 180°. Using this, we can form the following equation:
71° + 50° + 6x - 1 = 180. A simplified version is this: 120° + 6x = 180
Remove 120° from both sides to get:
6x = 60
Divide both sides to get:
x = 10
Hope this helps!
In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °.
Whats the measure of angle BAC?
Answer:
60°
Step-by-step explanation:
Given :
DAB= (180 – 3x) °,
mZ B= (6x – 40) °, and
m ZC = (x+20) °.
DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)
180 - 3x = (6x - 40) + (x + 20)
180 - 3x = 6x - 40 + x + 20
180 - 3x = 6x + x - 40 + 20
180 - 3x = 7x - 20
180 + 20 = 7x + 3x
200 = 10x
x = 200/10
x = 20
Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80
Angle C = x + 20 = 20 + 20 = 40
BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)
BAC = 180 - 120
BAC = 60°
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The perimeter of an envelope is 34 inches. It is 11 inches wide. How tall is it?
Answer:
6 inches
Step-by-step explanation:
34
11 + 11 + y + y = 34
22 + 2y = 34
22 - 22 + 2y = 34 - 22
2y = 12
2y ÷ 2 = 12 ÷ 2
y = 6
What is the image of (2, 4) after a reflection over the x-axis?
Express 1.2 km as a percentage of 300 m
Answer:
1.2km is 400% of 300m
Step-by-step explanation:
1 km=1000m
So,1.2 km=1000*1.2=1200m
Let 1.2km(or 1200m) be x% of 300 m
By the problem,
300*x/100 = 1200
Or, 3x=1200
Or,x=1200/3=400
1.2km is 400% of 300m