Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer:
299.25
Step-by-step explanation:
Im pretty sure this is correct!!
Answer:
$100
Step-by-step explanation:
399.99 * 0.25 = 99.9975 (100)
399.99 - 100 = 299.99
$299.99 = Cost after discount
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
What is the area of this?
I need step by step
Answer:
Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feetSee diagram below.
====================================================
Explanation:
Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.
I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.
The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.
-------------------
If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.
2(3x - 32y) + 3(-2x - 4y)
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
helppppp me please this twi
Answer:
4.) 7 : 4 = 36[g] : x [g]
7 * x [g] = 4 * 36 [g]
7 * x [g] = 144 [g]
x [g] = 144 [g] / 7
x [g] ≈ 20, 57 [g]
5.) 3:2 250
3x + 2x =250
5x=250
x=50
3x=3*50=150
2x=2*50=100
Find the value of x.
please explain how you got it :)
Answer:
x=65°
Step-by-step explanation:
Next to x would be 70. (180-110=70).
Since this is an equilateral triangle, the other angle is also 70.
180-70-70=40, so the third angle is 40.
Since this is a right angle, the other angle is 50 (90-40=50).
Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.
180-50=130
130÷2=65
What is the value of x
Answer:
180
Step-by-step explanation:
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
please hurry.-. and if u can give all answers to the lesson
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?
Answer:
There are at least 111 rose blooms in May's Garden.
Step-by-step explanation:
135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.
Please let me know if I am incorrect
Math. Find Mid point and fx
Answer: Option B.
Step-by-step explanation:
When we have an interval with lower bound m and upper bound M, such that:
m ≤ x ≤ M
The mid-point is:
(m + M)/2
in this case, we have:
m = 22
M = 27
then the mid-point is:
(22 + 27)/2 = 24.5
and we know that f = 7, then:
f*x = f times the mid-point = 7*24.5 = 171.5
The correct option is B.
Can someone help me? I’ll reward points + brainalist
Answer:
The answer is B.
Answer:
b) A = π ([tex]5^{2}[/tex])
Step-by-step explanation:
area = π [tex]r^{2}[/tex]
diamter
⇒ 10
radius is half of the diameter
⇒ 10 ÷ 2 = 5
area = 3.14 × [tex]5^{2}[/tex]
Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
Find the identical expression for the following plz show work
Just wondering does anyway else do vava? 8th grade
Answer:
I have heard of it but I myself do not
Answer:
What's vava just wondering also your in 8th grade?
HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS
MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE
Answer:
54
Step-by-step explanation:
2/3(7-16)^2
2/3(-9)^2
2/3*81
54
(2) what is being cooked in a preserve cooker?
Answer:
Rice and other items are being cooked in pressure cookers
I hope it helps you
Need help please in number 5
Answer:
HL (Hypotenuse-Leg)
x = 13
Step-by-step explanation:
hypotenuse GJ is shared by both triangles.
∠H and ∠K are right angles so they are right triangles.
leg HG = leg KG
so HL theorem
x + 5 = 8
x = 13
(Right angle, hypotenuse and side theorem)
By this theorem GK = GH ,
=> x + 5 = 8
=> x = 8-5
=> x = 3HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
I need help please!!
2x + 3x + 3x + 12 = 180° [Sum of all angles of a triangle is 180°]
=> 7 x = 180° - 12°
=> 7 x = 168°
=> x = [tex]\frac{168}{7}[/tex]°
=> x = 24°
[tex]\\[/tex]
? = 2x + 3x
=> 2×24° + 3×24°
=> 48° + 72°
=> 120°[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
A piece of wood is 3 1/2 feet long how many total inches long is it?
Answer:
42 inches
Step-by-step explanation:
1 foot is 12 inches
12 times 3=36
12 divided by 2=6
36+6=42
Which expression correctly represents 10 times the difference of a number and six
Answer:
10(6 - x) or 10(x - 6)
Step-by-step explanation:
Let the number be x.
Answer: 10(6 - x) or 10(x - 6)
Which function could be represented by the graph on the
coordinate plane?
Answer:
where is the graph?
Step-by-step explanation:
Find the errors and correct the following mathematical sentences.
Answer:
The correct answers are:
xii) (x+7)(x+7)
=x^2 +7x +7x +49
=x^2 +14x +49
xiv) (x+4)(x+2)
=x^2 +2x +4x +8
=x^2 +6x +8
xvi) 5x^3 ÷ 5x^3
=1
Answer:
This is your answer ☺️☺️